Patent Grant
7710551
The present invention relates generally to the field of anti-counterfeiting and authentication methods and devices and, more particularly, to methods, security devices and apparatuses for authenticating documents and valuable products by band moiré patterns.
Counterfeiting of documents such as banknotes is becoming now more than ever a serious problem, due to the availability of high-quality and low-priced color photocopiers and desk-top publishing systems. The same is also true for other valuable products such as CDs, DVDs, software packages, medical drugs, watches, etc., that are often marketed in easy to falsify packages.
The present invention is concerned with providing a novel security element and authentication means offering enhanced security for devices needing to be protected against counterfeits, such as banknotes, checks, credit cards, identity cards, travel documents, valuable business documents, industrial packages or any other valuable products.
The theory on which the present invention relies has been partly published at the beginning of August 2004, as a scientific contribution: “Band Moiré Images”, by R: D. Hersch and S. Chosson, SIGGRAPH'2004, ACM Computer Graphics Proceedings, Vol. 23, No. 3. pp. 239-248.
Various sophisticated means have been introduced in the prior art for counterfeit prevention and for authentication of documents or valuable products. Some of these means are clearly visible to the naked eye and are intended for the general public, while other means are hidden and only detectable by the competent authorities, or by automatic devices. Some of the already used anti-counterfeit and authentication means include the use of special paper, special inks, watermarks, micro-letters, security threads, holograms, etc. Nevertheless, there is still an urgent need to introduce further security elements, which do not considerably increase the cost of the produced documents or goods.
Moiré effects have already been used in prior art for the authentication of documents. For example, United Kingdom Pat. No. 1,138,011 (Canadian Bank Note Company) discloses a method which relates to printing on the original document special elements which, when counterfeited by means of halftone reproduction, show a moiré pattern of high contrast. Similar methods are also applied to the prevention of digital photocopying or digital scanning of documents (for example, U.S. Pat. No. 5,018,767, inventor Wicker). In all these cases, the presence of moiré patterns indicates that the document in question is counterfeit.
Other prior art methods, on the contrary, take advantage of the intentional generation of a moiré pattern whose existence, and whose precise shape, are used as a means of authenticating the document. One known method in which a moiré effect is used to make visible a hidden pattern image encoded within a document (see background of U.S. Pat No. 5,396,559 to McGrew, background of U.S. Pat. No. 5,901,484 to Seder, U.S. Pat. No. 5,708,717 to Alasia and U.S. Pat. No. 5,999,280 to Huang) is based on the physical presence of that image on the document as a latent image, using the technique known as “phase modulation”. In this technique, a line grating or a random screen of dots is printed on the document, but within the predefined borders of the latent image on the document the same line grating (or respectively, the same random dot-screen) is printed at a different phase, or possibly at a different orientation. For a layman, the latent image thus printed on the document is difficult to distinguish from its background; but when a revealing layer comprising an identical, but unmodulated, line grating or grating of lenticular lenses (respectively, random dot-screen) is superposed on the document, thereby generating a moiré effect, the latent image pre-designed on the document becomes clearly visible, since within its pre-defined borders the moiré effect appears in a different phase than in the background. Such a latent image may be recovered, since it is physically present on the document and only filled by lines at different phases or by a different texture. A second limitation of this technique resides in the fact that there is no enlargement effect: the pattern image revealed by the superposition of the base layer and of the revealing transparency has the same size as the latent pattern image. It should be stressed the disclosed band moire image synthesizing methods completely differ from the above mentioned technique of phase modulation since no latent image is present when generating a band moire image and since the band moiré image pattern shapes resulting from the superposition of a base band grating and a revealing line grating are a transformation of the original pattern shapes embedded within the base band grating. This transformation comprises always an enlargement, and possibly a rotation, a shearing, a mirroring, and/or a bending transformation. In addition, in the present invention, base band grating and revealing line grating layers can be created where translating respectively rotating the revealing layer on top of the base layer yields a displacement of the band moiré image patterns. Phase based modulation techniques allowing to hide latent images within a base layer are not capable of smoothly displacing and possibly transforming the revealed latent image when moving the revealing layer on top of the base layer. For example, they are unable to create a continuous displacement of the band moiré image patterns, such as for example the band moiré image patterns moving towards the center of a circular band moiré image layout. A further means of distinguishing phase modulation techniques from band moirés consists in verifying, once the revealing line grating is laid out on top of the base layer, if respectively a moiré pattern is produced by sampling only a single instance (i.e. one latent pattern image) or multiple instances of a base layer pattern (i.e. multiple base bands incorporating each one an instance of the base band pattern).
U.S. Pat. No. 5,999,280, Holographic Anti-Imitation Method and Device for preventing unauthorized reproduction, inventor P. P. Huang, issued Dec. 7, 1999, discloses a holographic anti-imitation method and device where the superposition of a viewing device on top of a hidden pattern merged on a background pattern allows to visualize that hidden pattern. This disclosure relies on a technique similar to the phase modulation technique presented in the background section of U.S. Pat. No. 5,396,559 to McGrew, implemented on a holographic device. In contrast to U.S. Pat. No. 5,999,280, our invention relies on a completely different principle: several instances of the base band patterns are sampled and produce band moire image patterns which are enlarged and transformed instances of these base band patterns. Furthermore, our invention allows to generate dynamic band moire images, i.e. animations with dynamically behaving band moire image pattern shapes, which are impossible to achieve with U.S. Pat. No. 5,999,280.
In U.S. Pat. No. 5,712,731 (Drinkwater et al.) a moiré based method is disclosed which relies on a periodic 2D array of microlenses. This last disclosure has the disadvantage of being limited to the case where the superposed revealing structure is a microlens array and the periodic structure on the document is a constant 2D array of identical dot-shapes replicated horizontally and vertically. Thus, in contrast to the present invention, that invention excludes the use of gratings of lines as the revealing layer. A similar 2D array of microlenses is disclosed in patent application Ser. No. 10/995,859 to Steenblik et. al., filed Nov. 22, 2004. Both inventions also consider a fixed setup of microlens array and dot shape array separated by a gap, where changing the observation orientation has the effect of moving and changing the size of the resulting 2D moiré patterns.
Other moiré based methods disclosed by Amidror and Hersch in U.S. Pat. No. 6,249,588 and its continuation-in-part U.S. Pat. No. 5,995,638 rely on the superposition of 2D arrays of screen dots yielding a moiré intensity profile indicating the authenticity of the document. These inventions are based on specially designed 2D periodic structures, such as dot-screens (including variable intensity dot-screens such as those used in real, gray level or color half-toned images), pinhole-screens, or microlens arrays, which generate in their superposition periodic moiré intensity profiles of chosen colors and shapes (typographic characters, digits, the country emblem, etc.) whose size, location and orientation gradually vary as the superposed layers are rotated or shifted on top of each other. In a third invention, U.S. Pat. No. 6,819,775 (Amidror and Hersch), Amidror and Hersch disclose new methods improving their previously disclosed methods mentioned above. These new improvements make use of the theory developed in the paper “Fourier-based analysis and synthesis of moirés in the superposition of geometrically transformed periodic structures” by I. Amidror and R. D. Hersch, Journal of the Optical Society of America A, Vol. 15, 1998, pp. 1100-1113 (hereinafter, “[Amidror98]”), and in the book “The Theory of the Moiré Phenomenon” by I. Amidror, Kluwer, 2000. According to this theory, said invention discloses how it is possible to synthesize aperiodic, geometrically transformed dot screens which in spite of being aperiodic in themselves, still generate, when they are superposed on top of one another, periodic moiré intensity profiles with undistorted elements, just like in the periodic cases disclosed by Hersch and Amidror in their previous U.S. Pat. No. 6,249,588 and its continuation-in-part U.S. Pat. No. 5,995,638. U.S. Pat. No. 6,819,775 further disclosed how cases which do not yield periodic moirés can still be advantageously used for anticounterfeiting and authentication of documents and valuable products. In U.S. patent application Ser. No. 10/183,550 “Authentication with build-in encryption by using moiré intensity profiles between random layers”, inventor Amidror discloses how a moiré intensity profile is generated by the superposition of two specially designed random or pseudo-random dot screens. An advantage of that invention relies in its intrinsic encryption system offered by the random number generator used for synthesizing the specially designed random dot screens.
However, the disclosures above made by inventors Hersch and Amidror (U.S. Pat. No. 6,249,588, U.S. Pat. No. 5,995,638. U.S. Pat. No. 6,819,775) or Amidror (U.S. application Ser. No. 10/183,550) making use of the moiré intensity profile to authenticate documents have two limitations. The first limitation is due to the fact that the revealing layer is made of dot screens, i.e. of a set (2D array) of tiny dots laid out on a 2D surface. When dot screens are embodied by an opaque layer with tiny transparent dots or holes (e.g. a film with small transparent dots), only a limited amount of light is able to traverse the dot screen and the resulting moiré intensity profile is not easily visible. In these inventions, to make the moiré intensity profile clearly visible, one needs to work in transparent mode; both the revealing and the base layers need to be placed in front of a light source and the base layer should be preferably printed on a partly transparent support. In reflective mode, one needs to use a microlens array as master screen which, thanks to the light focussing capabilities of the lenses, make the moiré intensity profile clearly visible. The second limitation is due to the fact that the base layer is made of a two-dimensional array of similar dots (dot screen) where each dot has a very limited space within which only a few tiny shapes such as a few typographic characters or a single logo must be placed. This space is limited by the 2D frequency of the dot screen, i.e. by its two period vectors. The higher the 2D frequency, the less space there is for placing the tiny shapes which, when superposed with a 2D circular dot screen as revealing layer, produce as 2D moiré an enlargement of these tiny shapes.
In U.S. patent application Ser. No. 10/270,546 (filed 16 Oct. 2002, “Authentication of documents and articles by moiré patterns”, inventors Hersch and Chosson), a significant improvement was made by the discovery that a rectilinear base band grating incorporating original shapes superposed with a revealing straight line grating yields rectilinear moiré bands comprising moiré shapes which are a linear transformation of the original shapes incorporated within the base band grating. These moiré bands form a band moiré image. Since band moiré have a much better light efficiency than moiré intensity profiles relying on dots screens, band moiré images can be advantageously used in all case where the previous disclosures relying on 2D screens fail to show strong enough moiré patterns. In particular, the base band grating incorporating the original pattern shapes may be printed on a reflective support and the revealing line screen may simply be a film with thin transparent lines. Due to the high light efficiency of the revealing line screen, the band moiré patterns representing the transformed original band patterns are clearly revealed. A further advantage of band moiré images resides in the fact that it may comprise a large number of patterns, for example one or several words, one or several sophisticated logos, one or several symbols, and one or several signs.
U.S. patent application Ser. No. 10/270,546 (Hersch and Chosson), describes the layout of rectilinear band moiré images, when the layouts of base layer and the revealing layer are known. However it does not tell in which direction and at which speed the moiré shape moves when translating the rectilinear revealing layer on top of the rectilinear base layer. Furthermore, since it does not disclose a model for predicting the layout of the moiré image that can be produced when superposing a curvilinear base layer and a curvilinear revealing layer, band moirés image relying on curvilinear base or revealing layers need to be generated by a trial and error procedure. One tries first to generate examples of curvilinear line moirés produced by the superposition of line grating (according to the theory describing prior art line grating, see the article by I. Amidror and R. D. Hersch, Fourier-based analysis and synthesis of moirés in the superposition of geometrically transformed periodic structures, Journal of the Optical Society of America A, Vol. 15, 1998; pp. 1100-1113 or the book of I. Amidror, The Theory of the Moiré Phenomenon, Kluwer, 2000, pages 249-352). Then, one replaces curvilinear lines of the line grating by bands, yielding a band grating. And finally, one verifies if the result is visually pleasing or not, and if not modifies the parameters of the base and revealing transformations and visualize again the results. When one of the layers layout is curvilinear, this trial and error method does not allow to compute a base band grating layer layout given a reference band moiré image layout and a revealing line grating layout. In addition, since the method relies on trial and error, it does not support the derivation of complicated geometric transformations, such as computing a base layer, which in superposition with a revealing layer forming a spiral shaped line grating yields a meaningful, visually pleasant band moiré image. The only reference band moiré image available with the trial and error method is the band moiré image produced by superposing the base and revealing layer derived thanks to the trial and error procedure.
Furthermore, U.S. patent application Ser. No. 10/270,546 (Hersch and Chosson) does neither give a precise technique for generating a reference rectilinear band moiré image layout with curvilinear base and revealing layer layouts nor does it give a means of generating a desired reference curvilinear band moiré image layout with a predetermined rectilinear or curvilinear revealing layer layout. Furthermore, U.S. patent application Ser. No. 10/270,546 (Hersch and Chosson) teaches a method for creating variations of the appearing moiré patterns when moving the revealing layer on top of the base layer, however these variations rely only on modifications of the shapes embedded within the base band layer and do not rely, as in the present disclosure, on the geometric transformations of the base layer and/or the revealing layer.
The present disclosure provides a band moiré image layout model allowing to compute not only the layout of a rectilinear band moiré image produced by superposing a rectilinear base band layer and a rectilinear revealing layer, but also in which direction and at which speed the rectilinear moiré shapes move when translating a the rectilinear revealing layer on top of the rectilinear base layer. For a curvilinear base layer and a curvilinear or rectilinear revealing layer, that model computes exactly the layout of the resulting rectilinear or curvilinear band moiré image obtained by superposing the base and revealing layers. Furthermore, one may specify a desired rectilinear or curvilinear band moiré image as well as one of the layers and the model is able to compute the layout of the other layer.
Let us also note that the properties of the moiré produced by the superposition of two line gratings are well known (see for example K. Patorski, The moiré Fringe Technique, Elsevier 1993, pp. 14-16). Moiré fringes (moiré lines) produced by the superposition of two line gratings (i.e. set of lines) are exploited for example for the authentication of banknotes as disclosed in U.S. Pat. No. 6,273,473, Self-verifying security documents, inventors Taylor et al.
Curved moiré fringes (moiré lines) produced by the superposition of curvilinear gratings are also known (see for example Oster G., Wasserman M., Zwerling C. Theoretical Interpretation of Moiré Patterns. Journal of the Optical Society of America, Vol. 54, No. 2, 1964, 169-175) and have been exploited for the protection of documents by a holographic security device (U.S. Pat. No. 5,694,229, issued Dec. 2, 1997, K. J. Drinkwater, B. W. Holmes).
In U.S. patent application Ser. No. 10/270,546 as well as in the present invention, instead of using a line grating as base layer, we use as base layer a band grating incorporating in each band an image made of one-dimensionally compressed original patterns of varying shapes, sizes, intensities and possibly colors. Instead of obtaining simple moiré fringes (moiré lines) when superposing the base layer and the revealing line grating, we obtain a band moiré image which is an enlarged and transformed instance of the original band image.
Joe Huck, a prepress professional, in his publication (2003) entitled “Mastering Moirés. Investigating Some of the Fascinating Properties of Interference Patterns, see also http://pages.sbcglobal.net/joehuck”, created band moiré images, both for artistic purposes and for creating designs incorporating moiré shapes floating within different perceived depth planes thanks to parallax effects. His publication only reports about vertically replicated horizontal base bands and a revealing layer made of horizontal lines, thereby generating moiré shapes moving only in the vertical direction. In contrast to the present invention, he neither provided a general-purpose framework for predicting the geometry of band moiré images as a function of base and revealing layer layouts, nor did he consider geometric transformations of base and revealing layers. In addition, he didn't consider applying band moiré images for document authentication.
The well-known parallax effect has been described in U.S. Pat. No. 5,901,484 to R. B. Seder in the context of creating a display device for displaying a plurality of images. Parallax images and the parallax effect is also described in the book by R. L. Van Renesse, Optical Document Security, 2nd ed., 1998, Artech House, section 9.3.1 Parallax Images and section 9.3.2, Embossed Lens Patterns, pp. 207-210, hereinafter referenced as [VanRenesse98]. In section 9.3.2 of that book, FIG. 9.5 shows an example of embossed cylindrical microlenses (also called lenticular lenses), where the lenses have a diameter of 300 μm and are embossed on a visually transparent plastic sheet of about 400 μm thickness. Due to the focusing effect of the lenses, only small strips of the bottom layer are visible while the exact location of these strips depends on the viewing angle.
U.S. Pat. No. 6,494,491, to Zeiter et. al. “Object with an optical effect”, teaches a composed layer formed by two images separated by a gap, where due to the relative phase between the two images, a given overall image is perceived at a certain viewing angle and an altered image at other angles. This invention relies on different darkness levels generated by superposed aligned or respectively non-aligned mutually rotated strokes.
The present invention relates to the protection of devices which may be subject to counterfeiting attempts. Such devices comprise security documents such as banknotes, checks, trust papers, securities, identification cards, passports, travel documents, tickets, valuable business documents and valuable products such as optical disks, CDs, DVDs, software packages, medical products, watches. These devices need advanced authentication means in order to prevent counterfeiting attempts. The invention also relates to a document security computing and delivery system allowing to synthesize and deliver the security document as well as its corresponding authentication means.
The present invention relies on a band moiré image layout model capable of predicting the band moiré image layer layout produced when superposing a base band grating layer of a given layout and a revealing line grating layer of a given layout. Both the base band grating layer and the revealing line grating layer may have a rectilinear or a curvilinear layout. The resulting band moiré image layout may also be rectilinear or curvilinear. Thanks to the band moiré image layout model, one can choose the layout of two layers selected from the set of base band grating layer, revealing line grating layer and band moiré image layer and obtain the layout of the third layer by computation, i.e. automatically. In contrast to the prior art invention described in U.S. patent application Ser. No. 10/270,546 (Hersch and Chosson), there is no need to proceed according to a manual trial and error procedure in order to create a revealing line grating layer layout and a base band grating layer layout which yield upon superposition a visually attractive easily perceivable band moiré image. In the present invention, one may simply define the band moiré image layout as well as the revealing line grating layout and compute the corresponding base band grating layout, which when superposed with the specified revealing line grating layout generates the specified band moiré image layout.
The present disclosure also describes methods for computing the direction and speed at which rectilinear moiré shapes move when displacing the corresponding rectilinear revealing line grating layer on top of the rectilinear base band grating layer. Furthermore, in the case of a concentric band moiré image, base band grating layer and revealing line grating layer layouts may be produced according to geometric transformations, which yield, upon relative displacement of the position sampled by the revealing layer on the base layer, a band moiré image whose patterns move either radially, circularly or according to a spiral trajectory, depending on the orientation of the base band replication vector in the original non-transformed base layer space. In addition, it is possible to conceive a periodically varying revealing line grating layer which when translated on top of the base band grating layer, generates a band moiré image which is subject to a periodic deformation.
In addition, either the base layer or the revealing layer or both may be embodied by an electronic display such as a liquid crystal display (LCD). When the revealing layer is embodied by an electronic display, non-rigid phase transformations may be applied to the revealing layer in order to generate the successive positions of the revealing layer lines.
Furthermore, thanks to the availability of a large number of geometric transformations and transformation variants (i.e. different values for the transformation constants), one may create classes of documents where each class of documents has its own individualized document protection.
In addition, thanks to the band moire layout model, it is possible to synthesize one band moiré image partitioned into different portions synthesized each one according to a different pair of matching geometric transformations. This makes it practically impossible for potential counterfeiters to resynthesize a base layer without knowing in detail the relevant geometric transformations as well as the constants used to synthesize the authentic base layer.
Thanks to the band moire image layout model, a computing system may automatically generate upon request an individualized protected security document by creating for a given document content information a corresponding band moiré image layout information. This computing system may then upon request synthesize and issue the security document with its embedded base band grating layer, the base band grating layer or the revealing line grating layer. To further enhance the security of documents, it is possible to synthesize a base band grating layer with non-overlapping shapes of different colors, for example created with non-standard inks, such as iridescent inks, inks visible under UV light or metallic inks, i.e. inks which are not available in standard color copiers or printers.
The base band grating and revealing line grating layers may be printed on various supports, opaque or transparent materials. The revealing layer may be embodied by a line grating imaged on an transparent support or by other means such as cylindric microlenses. Such cylindric microlenses offer a high light efficiency and allow to reveal band moiré image patterns whose base band grating patterns are imaged at a high frequency on the base band layer. The base band grating layer may also be reproduced on an optically variable device and revealed either by a line grating imaged on a transparent support, by cylindric microlenses, or by a diffractive device such as Fresnel zone plates emulating cylindric microlenses.
The base band layer and the revealing line grating layer may be separated by a small gap and form a fixed composed layer, where, thanks to the well-known parallax effect, by tilting the composed layer in respect to an observer, or equivalently by moving the eyes across the revealing layer line grating of the composed layer, different successive positions of the base layer are sampled. This creates an apparent displacement between base layer and revealing layer yielding dynamically moving moiré image patterns.
The fact that the generated band moiré patterns are very sensitive to any microscopic variations in the base and revealing layers makes any document protected according to the present invention extremely difficult to counterfeit, and serves as a means to distinguish between a real document and a falsified one. The present invention offers an additional protection by allowing to produce individual layouts either for individual or for classes of security documents. In addition, thanks to the band moiré image layout model, both the base band grating layer and the revealing line grating layer may be automatically generated.
In the present disclosure different variants of the invention are described, some of which may be disclosed for the use of the general public (hereinafter: “overt” features), while other variants may be hidden (for example one of the set of base bands in a base layer combining multiple sets of base bands) and only detected by the competent authorities or by automatic devices (hereinafter: “covert” features).
For a better understanding of the present invention, one may refer by way of example to the accompanying drawings, in which:
In U.S. Pat. No. 6,249,588, its continuation-in-part U.S. Pat. No. 5,995,638, and U.S. Pat. No. 6,819,775 (to Amidror and Hersch), as well as in U.S. patent application Ser. No. 10/183,550 (to Amidror), methods are disclosed for the authentication of documents by using the moiré intensity profile. These methods are based on specially designed two-dimensional structures (dot-screens, pinhole-screens, microlens structures), which generate in their superposition two-dimensional moiré intensity profiles of any preferred colors and shapes (such as letters, digits, the country emblem, etc.) whose size, location and orientation gradually vary as the superposed layers are rotated or shifted on top of each other. In reflective mode and with a revealing layer (called master screen in the above mentioned inventions) embodied by an opaque layer with tiny transparent dots or holes (e.g. a film with tiny transparent holes), the amount of reflected light is too low and therefore the moiré shapes are nearly invisible. Therefore, in reflective mode, the revealing layer to be used in these inventions must be a microlens array. In addition, in these inventions, the base layer is made of a set (2D array) of similar dots (dot screen) where each dot has a very limited space within which tiny shapes such as characters, digits or logos must be placed. This space is limited by the 2D frequency of the dot screen, i.e. by its two period vectors. The higher the 2D frequency, the less space there is for placing the tiny shapes which, when superposed with a 2D circular dot screen as revealing layer, produce as 2D moiré an enlargement of these tiny shapes.
Since much more light passes through a line grating of a given period and relative aperture than through a dot screen of the same period and of the same relative aperture as dot diameter, band moiré images induced by line gratings have a much higher dynamic range than 2D moirés images obtained by superposing a dot screen and an array of tiny holes. In U.S. patent application Ser. No. 10/270,546 (Hersch & Chosson), the present inventors proposed to use a line grating as revealing layer and to introduce as base layer a base band grating made of replicated bands comprising freely chosen flat patterns or flat images (
The present disclosure provides new inventive steps in respect to U.S. patent application Ser. No. 10/270,546 (Hersch & Chosson) by disclosing a model (hereinafter called “band moire image layout model”) allowing the computation of the direction and the speed in which rectilinear band moiré image shapes move when translating a rectilinear revealing layer on top of a rectilinear base layer. Furthermore, given any layout of rectilinear or curvilinear base and revealing layers, the band moire layout model computes the layout of the resulting rectilinear or curvilinear band moiré image obtained by superposing the base and revealing layers. In addition, one may specify a desired rectilinear or curvilinear band moiré image as well as one of the layers and the band moire layout model is able to compute the layout of the other layer.
A base band grating differs from a line grating by having instead of a 1D intensity profile a 2D intensity profile, i.e. an intensity profile which varies according to the current position both in the transversal and in the longitudinal line directions. A base band becomes a full 2D image of its own, which can be revealed by superposing on the corresponding base band grating a revealing layer made of thin transparent lines.
It is well known from the prior art that the superposition of two line gratings generates moiré fringes, i.e. moiré lines as shown in
k=n−m (1)
The family of oblique base lines is described by
y=tan θ·x+n·λ·tan θ (2)
where θ is the angle of the oblique base lines and λ the horizontal spacing between successive base lines (
The family of horizontal revealing lines is described by
y=m·Tr (3)
By expressing indices n and m as a function of x and y,
and by expressing k according to equation (1)
we deduce the equation describing the family of moiré lines
Equation (6) fully describes the family of subtractive moiré lines: the moiré line orientation is given by the slope of the line family and the moiré period can be deduced from the vertical spacing between two successive lines of the moiré line family. In the section on curvilinear band moirés, we make use of indicial equation (6) in order to deduce the transformation of the moiré images whose base and revealing layers are geometrically transformed.
Both in U.S. patent application Ser. No. 10/270,546 and in the present invention, we extend the concept of line grating to band grating. A band of width Tb corresponds to one line instance of a line grating (of period Tb) and may incorporate as original shapes any kind of patterns, which may vary along the band, such as black white patterns (e.g. typographic characters), variable intensity patterns and color patterns. For example, in
In the section “Geometry of rectilinear band grating moirés”, we establish the part of the band moiré image layout model which describes the superposition of a rectilinear base band grating layer and a rectilinear revealing line grating layer. The base band layer comprises base bands replicated according to any replication vector t (
Note that all drawings showing base band patterns and revealing line grating layers are strongly enlarged in order to allow to photocopy the drawings and verify the appearance of the moiré patterns. However, in real security documents, the base band period Tb and the revealing line grating period Tr are much lower, making it very difficult or impossible to make photocopies of the base band patterns with standard photocopiers or desktop systems.
The term “devices which may be subject to counterfeiting attempts” refers to security documents such as banknotes, checks, trust papers, securities, identification cards, passports, travel documents, tickets, valuable business documents such as contracts, etc. and to valuable products such as optical disks, CDs, DVDs, software packages, medical products, watches, etc. These devices are protected by incorporating into them or associating to them a base layer comprising a base band grating and a revealing layer comprising a line grating made of thin transparent lines. Such devices are authenticated by placing the revealing layer on top of the base layer and by verifying if the resulting band moiré image has the same layout as the original reference band moiré image or by moving the revealing layer on top of the base layer and verifying if the resulting dynamic band moiré image has the expected behavior. Expected behaviors are for example band moiré image patterns remaining intact while moving along specific orientations, band moiré image patterns moving radially, or band moiré image patterns subject to a periodic deformation.
The term “image” characterizes images used for various purposes, such as illustrations, graphics and ornamental patterns reproduced on various media such as paper, displays, or optical media such as holograms, kinegrams, etc. . . . Images may have a single channel (e.g. gray or single color) or multiple channels (e.g. RGB color images). Each channel comprises a given number of intensity levels, e.g. 256 levels). Multi-intensity images such as gray-level images are often called bytemaps.
Printed images may be printed with standard colors (cyan, magenta, yellow and black, generally embodied by inks or toners) or with non-standard colors (i.e. colors which differ from standard colors), for example fluorescent colors (inks), ultra-violet colors (inks) as well as any other special colors such as metallic or iridescent colors (inks).
The term “band moiré image” refers to the image obtained when superposing a base band grating layer and a revealing line grating layer. The terms band moiré image and band moiré image layer are used interchangeably.
Each base band (
A base layer comprising a repetition of base bands is called base band grating layer or simply base band grating, base band layer or when the context is unambiguous, base layer. Similarly, a revealing layer made of a repetition of revealing lines is called revealing line grating layer or simply revealing line grating or when the context is unambiguous, revealing layer. Both the base band gratings and the revealing line gratings may either be rectilinear or curvilinear. If they are rectilinear, the band borders, respectively the revealing lines, are straight. If they are curvilinear, the band borders, respectively the revealing lines, are curved.
In the present invention, curvilinear base band gratings and curvilinear revealing line gratings are generated from their corresponding rectilinear base band and revealing line gratings by geometric transformations. The geometric transformations transform the gratings from transformed coordinate space (simply called transformed space) to the original coordinate space (simply called original space). This allows to scan pixel by pixel and scanline by scanline the base grating layer, respectively the revealing line grating layer in the transformed space and find the corresponding locations of the corresponding original base grating layer, respectively revealing line grating layer within the original space.
In the present invention, we use the term line gratings in a generic way: a line grating may be embodied by a set of transparent lines (e.g.
In the literature, line gratings are often sets of parallel lines, where the white (or transparent) part (τ in
The formulation “displacement of the revealing layer on top of the base layer” means that successive parts of the base layer are sampled at successive relative displacements of the revealing layer. It does not necessarily require a physical movement between the layers. When there is a small gap between base and revealing layer, changing the observation angle is sufficient to sample successively different parts of the base layer and therefore to induce an apparent displacement of the revealing layer on top of the base layer. Hereinafter, the term “displacement of the revealing layer” in respect to the base layer means “displacement of the position sampled by the revealing layer on the base layer”. It therefore also comprises apparent displacements between revealing layer and base layer.
The term “printing” is not limited to a traditional printing process, such as the deposition of ink on a substrate. Hereinafter, it has a broader signification and encompasses any process allowing to create a pattern or to transfer a latent image onto a substrate, for example engraving, photolithography, light exposition of photo-sensitive media, etching, perforating, embossing, thermoplastic recording, foil transfer, ink-jet, dye-sublimation, etc. . . .
The geometric model we are describing relies on the assumption that the revealing line grating is made of transparent straight lines with a small relative aperture, i.e. the revealing line grating can be assimilated to a grating of sampling lines. Let us analyze how the revealing line grating (dashed lines in
Base bands are replicated with replication vector t. Oblique base bands B1, B2, B3, B4 are by construction exact replicates of base band B0. The gray parallelograms located respectively in bands B1, B2, B3, B4 (
The observed linear transformation also applies to all other base band parallelograms which are horizontal neighbors of base band parallelogram P0 and which form a horizontal band H0 parallel to the revealing lines. Successive horizontal bands are labelled H0, H1, H2, H3 (
Since base band parallelograms Pi,i are replica, corresponding moiré parallelograms Pi,i′ are also replica. When displacing the revealing line grating down with a vertical translation of one period Tr, the moiré parallelograms Pu,v′ move to the position of the moiré parallelograms Pu+1,v+1′ (e.g. in
Let us establish the parameters of the linear transformation mapping base band parallelograms to moiré parallelograms. According to
H=(Tr/tan θ,Tr)
and
G=(Tr/tan θ−tx,Tr−ty) (7)
With B as fix point, i.e. (λ,0)→(λ,0), and with G→H, we obtain the linear transformation mapping base band parallelograms to moiré parallelograms
Interestingly, with a constant replication vector t, the linear transformation parameters remain constant when modifying angle θ between the base band and the revealing line grating. However, the orientation φ of the moiré parallelogram depends on θ. The moiré parallelogram angle can be derived from line segment
One can easily verify that indeed, the slope of the moiré parallelogram obtained by the proposed linear transformation between base layer and moiré layer is identical to the slope of the moiré line described by its indicial equation (6). This can be explained by considering that moiré lines are a special case of band moiré images. If we replace the oblique base band layer with a line grating of the same orientation, period and phase, we obtain within the oblique moiré parallelogram bands the corresponding moiré lines.
Expressed as a function of its oblique base band width Tb, with λ=Tb/sin θ, the moiré parallelogram orientation
is identical to the familiar moiré line orientation formula developed according to geometric considerations by Tollenaar (see D. Tollenaar, Moiré-Interferentieverschijnselen bij rasterdruk, Amsterdam Instituut voor Grafische Technick, 1945, English translation: Moiré in halftone printing interference phenomena, published in 1964, reprinted in Indebetouw G. Czarnek R. (Eds.). 618-633, Selected Papers on Optical Moiré and Applications, SPIE Milestone Series, Vol. MS64, SPIE Press, 1992, hereinafter referenced as [Tollenaar 45]).
Since both the oblique and the horizontal moiré parallelogram bands are replica (
The orientation of replication vector pm gives the angle along which the moiré band image travels when displacing the horizontal revealing layer on top of the base layer. This moiré band replication vector is independent of the oblique base band orientation, i.e. one may, for the same base band replication vector t=(tx, ty) conceive different oblique base bands yielding the same moiré band replication vector. However, differently oriented oblique base bands will yield differently oriented oblique moiré bands. Corresponding moiré parallelograms will be different, but they will all have replication vector pm as their diagonal.
Again, it is possible to verify that in the special case when the oblique base band layer is replaced by a line grating having the same geometric layout, the moiré bands become moiré lines and their respective period Tm (distance between two moiré lines, see
When rotating either the base band layer or the revealing layer, we modify angle θ and the linear transformation changes accordingly (Eq. 6). When translating the base band layer or revealing layer, we just modify the origin of the coordinate system. Up to a translation, the band moiré patterns remain identical.
In the special case where the band grating (base layer) and the revealing layer have the same orientation, i.e. tx=0 and θ=0, according to Eq. (10), the moiré patterns are simply a vertically scaled version of the patterns embedded in the replicated base bands, with a vertical scaling factor of Tr/(Tr−ty)=1/(1−ty/Tr). In that case, the width Tb of the base band grating is equal to the vertical component ty of the replication vector t.
By considering the revealing line grating as a sampling line array, we were able to define the linear transformation between the base layer and the moiré image. The base layer is formed by an image laid out within a single base band replicated with vector t so as to cover the complete base layer space. In order to better understand the various moiré image design alternatives, let us try to create a text message within the base layer according to different layout alternatives.
One may for example conceive vertically compressed microtext (or graphical elements) running along the oblique base bands at orientation θ (
Clearly, the orientation of the revealed moiré text baseline (angle φ) is given by the orientation of the oblique band (angle θ). The height of the characters depends on the oblique base band base λ or, equivalently, on its width Tb. The moiré band repetition vector pm which defines how the moiré image is translated when displacing the revealing layer up and down, depends according to Eq. (11) on replication vector t=(tx,ty). Once the moiré text baseline orientation θ and oblique band base λ are chosen, one may still modify replication vector t by moving its head along the oblique base band border. By choosing a vertical component ty closer to Tr, the vertical enlargement factor s becomes larger according to Eq. (8) and the moiré image becomes higher, i.e. the text becomes more elongated.
Alternatively, instead of designing the microtext within the oblique base bands, one may design microtext within a horizontal base band (
The vertical orientation of the microtext can be freely chosen. It defines the layout of the corresponding oblique bands and therefore, the vertical orientation φ of the revealed moiré text image (linearly transformed enlarged microtext). The selected replication vector t defines the vertical size of the moiré band H0′ (
The choice of the revealing line period Tr depends on the base layer resolution. Generally the period Tr of the revealing line grating is between 5% to 10% smaller or larger than the horizontal base band layer width ty. Considering equation (8), factor s=Tr/(Tr−ty) defines the vertical enlargement between the image located within a horizontal base band (H0 in
The creation of moiré images does not necessarily need a sophisticated computer-aided design system. Let us illustrate the moiré image creation procedure in the case of a microtext laid out within a horizontal base band. One may simply start by defining the period Tr of the revealing layer. Then one creates the desired “moiré” image within a horizontal parallelogram, whose sides define the orientation φ of the oblique moiré band borders Bi′(
We first consider the simple text strings “EPFL”, “VALID” and “CARD”. Each text string has a specific layout and a specific replication vector t. All distance values are given in pixels at 1200 dpi. “EPFL” is laid out within an oblique band of orientation θ=−1.8°, tx=−15.65, ty=43. “VALID” and “CARD” are each laid out within a horizontal band, with respective replication vectors (tx=9.64, ty=36) and (tx=11.25, ty=42) and respective character verticals at orientations θ=162.7° and θ=14.92° (
As an example, we show a dynamic design (
When two layers have their patterns superposed one on top of the other, we either give priority to one layer (e.g. the USA pattern has priority over the red stripes) or simply superpose the two layers (stars and red stripes).
In addition to periodic band moiré images, one may also create interesting curvilinear band moiré images. It is known from the Fourier analysis of geometrically transformed periodic line gratings [Amidror98] that the moiré generated by the superposition of two geometrically transformed periodic line gratings is a geometric transformation of the moiré formed between the original periodic line gratings. This result is however limited to a base layer formed by a periodic profile line grating and cannot be simply transposed to base layer formed by a band grating. In the next section “Model for the layout of geometrically transformed moiré images”, we disclose the part of the band moiré image layout model which enables computing the layout of moiré images whose base and revealing layers are geometrically transformed.
where (cx,cy) gives the center point in the transformed coordinate space, wx gives the width of the original base layer and c1 is a constant radial scaling factor. Note that the transformations yielding circular gratings may easily be modified to yield elliptic gratings by expressing h2 for example as
where a and b are freely chosen constants.
To generate the curvilinear base band layer rb(xt,yt), the transformed space within which the curvilinear base band grating is located is traversed pixel by pixel and scanline by scanline. At each pixel (xt,yt), the corresponding position (x,y)=(h1(xt,yt), h2(xt,yt)) in the original rectilinear base band layer is found and its intensity (possibly obtained by interpolation of neighbouring pixels) is assigned to the current curvilinear base band layer pixel rb(xt,yt). As an example,
In this section, we describe the geometric transformation that a moiré image undergoes, when its base band grating and its revealing line grating are subject to a geometric transformation. We then derive conditions and equations of the geometric transformations to be applied either to the rectilinear base band grating and/or to the revealing line grating in order to obtain a desired geometric moire image transformation.
Starting with a rectilinear base band grating and a rectilinear revealing line grating, one may apply to them either the same or different non-linear geometric transformations. The curvilinear band moiré image we obtain is a transformation of the original band moiré image obtained by superposing the rectilinear base band and revealing layers. We derive the geometric transformation which gives the mapping between the resulting curvilinear band moiré image and the original rectilinear band moiré image. This mapping completely defines the layout of the curvilinear band moiré image.
The key element for deriving the transformation between curvilinear and original moiré images is the determination of parameters within the moiré image, which remain invariant under the layer transformations, i.e. the geometric transformation of base and revealing layers. One parameter remaining invariant is the index k of the moiré parallelogram oblique border lines (
Eq. (4) gives the family of moiré image lines parallel to the borders of the moiré parallelogram before applying the geometric transformations. Let us define the geometric transformation between transformed base layer space (xt,yt) and original base layer space (x,y) by
x=h1(xt,yt); y=h2(xt,yt) (15)
and the geometric transformation between transformed revealing layer space (xt,yt) and original revealing layer space (x,y) by
y=g2(xt,yt) (16)
Note that any superposition of original base and revealing layers can be rotated so as to obtain a horizontal revealing layer, whose line family equation depends only on the y-coordinate. The transformation from transformed space to original space comprises therefore only the single function y=g2(xt,yt).
We can insert these geometric transformations into respectively the oblique line equation (2) and the revealing line equation (3), and with equation (5), we obtain the implicit equation of the moiré lines in the transformed space according to their indices k.
Since the moiré line indices k are the same in the original (Eq. 5) and in the transformed spaces (Eq. 17), by equating them and bringing all terms into the same side of the equation, we obtain an implicit equation establishing a relationship between transformed and original moiré space coordinates having the form Fk(xt,yt,x,y)=0.
Fk(xt,yt,x,y)=h2(xt,yt)·Tr−h1(xt,yt)·Tr·tan θ−g2(xt,yt)·λ·tan θ+x·Tr·tan θ+y·(λ·tan θ−Tr)=0 (18)
To completely specify the mapping between each point of the transformed moiré space and each point of the original moiré space, we need an additional implicit equation relating transformed and original moiré image layer coordinates.
We observe that replicating oblique base bands with the replication vector t is identical to replicating horizontal base bands with replication vector t (
Clearly, base band parallelogram Pλt with base λ and with replication vector t as parallelogram sides is mapped by the linear transformation (Eq. 8) into the moiré parallelogram Pλt′ having the same base λ and parallelogram sides given by moiré band replication vector pm. Note that successive vertically adjacent replica of moiré parallelogram Pλt′ are mapped by the linear transformation into identical replica of the base band parallelogram Pλt Therefore, within the moiré image, each infinite line of orientation pm, called d-line is only composed of replica of a single line segment db parallel to t within the base band. This is true, independently of the value of the revealing grating period Tr.
With a given horizontal base band (e.g.
Under geometric transformation of the base layer, straight d-lines are transformed into curved d-lines. In the moiré image space, a point located on a straight d-line will remain, after application of a geometric transformation to the revealing layer and of a (generally different) geometric transformation to the base layer, on the corresponding transformed curved d-line.
By numbering the d-lines according to d-parallelogram borders (
y=x·tan β+d·λ·tan θ (19)
and
h2(xt,yt)=h1(xt,yt)·tan β+d·λ·tan θ (20)
where β is the angle of replication vector t with the horizontal and where d is the d-line index. If we extract the line index d from equation (19) and also from equation (20), by equating them, we obtain the following implicit equation
Fd(xt,yt,x,y)=h2(xt,yt)−h1(xt,yt)·tan β+x·tan β−y=0 (21)
We can now solve for x and y the equation system formed by Fk(xt,yt,x,y)=0 (Eq. 18) and Fd(xt,yt,x,y)=0 (Eq. 21) and obtain, by replacing respectively in equations (18) and (21)
λ=ty cos θ−tx tan β=ty/tx (22)
the transformation (m1(xt,yt), m2(xt,yt)) of the moiré image from transformed moiré space to original moiré space
The transformation (m1(xt,yt), m2(xt,yt)) is independent of the oblique base band orientation. Relevant parameters are the revealing layer line period Tr and the base band replication vector t=(tx, ty).
Equations (23) define the transformation M: (xt,yt)→(x,y) of the moiré image from transformed moiré space to original moiré space as a function of the transformation of the base band grating H: (xt,yt)→(x,y), and of the transformation of the revealing line grating G: (xt,yt)→(x,y) from transformed space to the original space. In the present formulation, according to Eq. (23), M(xt,yt)=(m1(xt,yt, m2(xt,yt)), H(xt,yt)=(h1(xt,yt, h2(xt,yt)), and G(xt,yt)=(x, g2(xt,yt), where x takes all real values. However, different formula equivalent to equation (23) may be associated to the transformations M, H, and G.
Equations (23) show that when the transformations of base layer and revealing layer are identical i.e. (h2(xt,yt)=g2(xt,yt), the moiré transformation is identical to the transformation of the base layer, i.e. m1(xt,yt)=h1(xt,yt) and m2(xt,yt)=h2(xt,yt). This is confirmed by
Having obtained the full expression for the induced moiré transformation when transforming base and revealing layers, we can select a given moiré transformation i.e. m1(xt,yt) and m2(xt,yt), select either the revealing layer transformation g2(xt,yt) or the base layer transformation given by h1(xt,yt), h2(xt,yt) and derive, by solving equation system (23) the other layer transformation. The easiest way to proceed is to freely define the moiré transformation m1(xt,yt) and m2(xt,yt) and the revealing layer transformation g2(xt,yt), and then deduce the base layer transformation given by h1(xt,yt) and h2(xt,yt).
Equations (24) express the transformation H of the base band grating layer from transformed space to original space as a function of the transformations M and G transforming respectively the band moiré image and the revealing line grating from transformed space to original space.
The transformations M, G and H, embodied by the set of equations (23) or equivalently, by the set of equations (24), form a band moiré image layout model completely describing the relations between the layout of the base band grating layer, the layout of the revealing line grating layer and the layout of the resulting band moiré image layer. The layout of two of the layers may be freely specified and the layout of the third layer may then be computed thanks to this band moiré image layout model.
In some of the examples given in the next section, we freely choose a revealing layer transformation g2(xt,yt), and require as band moiré image transformation the identity transformation, i.e. m1(xt,yt)=xt and m2(xt,yt)=yt. This allows us to generate the same band moiré image before and after the layer transformations. We obtain periodic band moiré images, despite the fact that both the base layer and the revealing layer are curved, i.e. non-periodic. We then show examples, where we freely chose the revealing layer and require the band moiré image transformation to be a known geometric transformation, for example a transformation yielding circularly laid out band moiré patterns.
Let us now apply the knowledge disclosed in the previous section and create various examples of rectilinear and curvilinear moirés images with at least one the base or revealing layers being curvilinear.
In order to generate a rectilinear moiré image with a cosinusoidal revealing layer, we transform the original base and revealing layer shown in
g2(xt,yt)=yt+c1 cos (2π(xt+c3)/c2) (25)
with c1, c2 and c3 representing constants and deduce from equations (21) the geometric transformation to be applied to the base layer, i.e.
h1(xt,yt)=xt+c1 cos (2π(xt+c3)/c2)(tx/Tr)
h2(xt,yt)=yt+c1 cos (2π(xt+c3)/c2)(tyTr) (26)
We can move the revealing layer (
m1(xt,yt)=xt−txΔyt/(Tr−ty) and
m2(xt,yt)=yt−tyΔyt/(Tr−ty), (27)
i.e. the original moiré image is simply translated according to vector t=(tx,ty), scaled by the relative vertical displacement Δyt/(Tr−ty).
We introduce a revealing layer transformation yielding a perfectly circular revealing line grating (
g2(xt,yt)=c1√{square root over ((xt−cx)2+(yt−cy)2)}{square root over ((xt−cx)2+(yt−cy)2)} (28)
where cx and cy are constants giving the center of the circular grating and c1 is a scaling constant. In order to obtain a rectilinear moiré image, we define the base layer transformations according to Eq. 24
The resulting base layer is shown in
Examples A and B show that rectilinear moiré images can be generated with curvilinear base and revealing layers. Let us now show examples where thanks to the band moire image layout model, we can obtain curvilinear moiré images which have the same layout as predefined reference moiré images.
In the present example, we choose a circular moiré image and also freely choose the revealing layer layout. The desired reference circular moiré image layout is given by the transformation mapping from transformed moiré space back into the original moiré space, i.e.
where constant cm expresses a scaling factor, constants cx and cy give the center of the circular moiré image layout in the transformed moiré space, wx expresses the width of the original rectilinear reference band moiré image and function atan(y,x) returns the angle α of a radial line of slope y/x, with the returned angle α in the range (−π<=α<=π). The corresponding desired reference circular moiré image is shown in
These curvilinear base layer layout equations express the geometric transformation from transformed base layer space to the original base layer space. The corresponding curvilinear base layer in the transformed space is shown in
Let us now take a curvilinear revealing layer and still generate the same desired curvilinear moiré image as in the previous example (reference band moiré image shown in
g2(xt,yt)=yt+c1 cos (2πxt/c2) (32)
where constants c1 and c2 give respectively the amplitude and period of the cosinusoidal transformation. The corresponding cosinusoidal revealing layer is shown in
These curvilinear base layer layout equations express the geometric transformation from the transformed base layer space to the original base layer space. The corresponding curvilinear base layer is shown in
Let us show a further example relying on the band moire layout model in order to obtain a circularly transformed moiré image. We choose as revealing layer layout a spiral shaped revealing layer. The desired reference circular moiré image layout is given by the geometric transformation described by Eqs. (30) which transform from transformed moiré space back into the original moiré space. The spiral shaped revealing line grating layout (
where cx and cy are constants giving the center of the spiral line grating, cm is the scaling factor (same as in Eq. 30), Tr is the revealing line grating period in the original space and ns is the number of spirals leaving the center of the spiral line grating. By inserting the curvilinear moiré image layout equations (30) and the spiral shaped revealing layer layout equation (34) into the band moire layout model equations (24), one obtains the deduced the curvilinear base layer layout equations
These curvilinear base layer layout equations express the geometric transformation from the transformed base layer space to the original base layer space. They completely define the layout of the base band grating layer (
For the sake of simplicity, we considered in the preceding examples mainly transformations yielding circular revealing, base or moiré image layers. As described in some of the examples, by inserting into the formula instead of the radius of a circle
√{square root over ((xt−cx)2+(yt−cy)2)}{square root over ((xt−cx)2+(yt−cy)2)}
the corresponding distance from the center to a point (xt,yt) of an ellipse
where a and b are freely chosen constants, the considered concentric circular layers may be extended to form concentric elliptic layers. We therefore call “concentric layouts” both the circular and the elliptic layouts.
One may generate a moire image having for example the same circular layout as in Examples C and D, but which, instead of moving radially when displacing the revealing layer on top of the base layer, moves circularly, i.e. along the tangent of the circular moiré layout. When displacing the revealing layer (e.g.
The previous examples shows that thanks to the band moire layout model, we are able to compute the exact layout of curvilinear base and revealing layers so as to generate a desired rectilinear or curvilinear moiré image of a given predefined layout. They also show that unexpected, surprising moiré displacements occur, such as radial or circular moiré displacements, when displacing the revealing layer on top of the base layer. Note that as described in the section below “Embodiments of base and revealing layers”, the displacement between base and revealing layer may be an apparent displacement induced by the movement of the eyes across a composed layer whose revealing layer and base layer are separated by a small gap. The movement of the eyes across the composed layer, or equivalently, tilting the composed layer in respect to an observer, yields a relative displacement of the position sampled by the revealing layer on the base layer.
One may freely choose the curvilinear revealing layer layout and deduce from a desired rectilinear or curvilinear moiré image layout the corresponding curvilinear base layer layout or vice-versa. Let us denote the base layer and revealing layer geometric transformations producing a desired rectilinear or curvilinear moiré image layout as a “pair of matching geometric transformations” and the corresponding layer layouts in the transformed space as a “pair of matching base and revealing layer layouts”.
In order to provide additional security and make counterfeiting even harder, one may partition the desired moiré image into several portions and render each portion with a specific pair of matching geometric transformations. Corresponding portions of both the base layer and the revealing layer will be rendered with different pairs of geometric transformations.
For example, we can generate the desired reference circular band moiré image shown in
The relationships between geometric transformations applied to the base and revealing layers and the resulting geometric transformation of the band moiré image (see Eqs. (23) and (24)), represent a model for describing the layout of the band moiré image as a function of the layouts of the base band grating and of the revealing line grating. By applying this model one may compute the base and/or the revealing layer layouts, i.e. the geometric transformations to be applied to the original rectilinear base and/or revealing layers in order to obtain a reference moiré image layout, i.e. a moiré image layout according to a known geometric transformation applied to the original rectilinear band moiré image.
The examples presented in the previous sections represent only a few of the many possible transformations that may be applied to the moire layer, to the base layer and/or to the revealing layer. Many other transformations can be applied, for example transformations which may produce zone plate gratings [Oster 64], hyperbolic sine gratings, or gratings mapped according to conformal transformations.
In more general terms, any continuous function of the type f(xt,yt) is a candidate function for the functions g2(xt,yt), h2(xt,yt), and/or m2(xt,yt). Only a more detailed analysis of such candidate functions enables verifying if they are usable in the context of geometric layer transformations, i.e. if they yield, at least for certain constants and within given regions of the transformed space, base bands, revealing lines and moiré bands suitable for document authentication. A catalogue of implicit functions f(xt,yt)=c, where c represents a constant, usable as candidate geometric transformation functions can be found in the book “Handbook and Atlas of Curves”, by Eugene V. Shikin, CRC Press, 1995 or on pages 319-329 of the book “Handbook of Mathematics and Computational Science” by J. W. Harris and H Stocker, published by Springer Verlag in 1998.
A library of suitable functions f(xt,yt) with corresponding constant ranges may be established, for example for the transformation (m1(xt,yt), m2(xt,yt)) transforming a band moiré image from transformed space to original space and for the transformation g2(xt,yt) transforming a revealing line grating from transformed space to original space. Once a library of transformation functions is established, which comprises for each transformation corresponding ranges of constants, thousands of different layouts become available for the band moiré image layout, the revealing line grating layout and according to Eq. (24) for the base band layer layout.
The very large number of possible geometric transformations for generating curvilinear base band layers and curvilinear revealing line gratings allows to synthesize individualized base and revealing layers, which, only as a specific pair, are able to produce the desired reference band moiré image (e.g. a rectilinear or a curvilinear moiré image) if they are superposed according to specific geometric conditions (relative position and/or relative orientation). One of the layers, e.g. the curvilinear revealing layer may be publicly available (e.g. downloadable from a Web server) and may serve as an authentication means. It would be very difficult to create, without knowledge of the revealing layer's layout (i.e. without knowledge of the geometric transformation mapping it from transformed space to original space) a base layer which would yield in superposition with that revealing layer a rectilinear moiré image. Furthermore, since the base layer and the revealing layer may be divided into many portions each generated according to a different pair of matching geometric transformations, it becomes impossible for potential counterfeiters to resynthesize the base layer without knowing in detail the relevant geometric transformations as well as the constants and positions used to synthesize the base layer.
In addition, it is possible to reinforce the security of widely disseminated documents such as banknotes, diploma, entry tickets, travel documents and valuable products by often modifying the parameters which define the geometric layout of the base layer and of its corresponding revealing layer. One may for example have geometric transformations and their associated constants which depend on a security document's issue date or production series number. For example, each series of a document may be mapped onto a different set of geometric layouts, given by different transformations and/or transformation constants.
The present invention is not limited only to the monochromatic case. It may largely benefit from the use of different colors for producing the patterns located in the bands of the base layer.
One may generate colored base bands in the same way as in standard multichromatic printing techniques, where several (usually three or four) halftoned layers of different colors (usually: cyan, magenta, yellow and black) are superposed in order to generate a full-color image by halftoning. By way of example, if one of these halftoned layers is used as a base layer according to the present invention, the band moiré patterns that will be generated with a revealing transparent line grating will closely approximate the color of this base layer. If several different colored layers are used for the base band according to the present invention, they will generate when superposed with a revealing transparent line grating a band moiré pattern approximating the color resulting from the superposition of these different colored layers.
Another possible way of using colored bands in the present invention is by using a base layer whose individual bands are composed of patterns comprising sub-elements of different colors. Color images with subelements of different colors printed side by side may be generated according to the multicolor dithering method described in U.S. patent application Ser. No. 09/477,544 filed Jan. 4, 2000 (Ostromoukhov, Hersch) and in the paper “Multi-color and artistic dithering” by V. Ostromoukhov and R. D. Hersch, SIGGRAPH Annual Conference, 1999, pp. 425-432. An important advantage of this method as an anticounterfeiting means is gained from the extreme difficulty in printing perfectly juxtaposed sub-elements of patterns, due to the high required precision in the alignment of the different colors (registration precision). Only the best high-performance security printing equipment which is used for printing security documents such as banknotes is capable of offering such a registration precision. Registration errors which are unavoidable when counterfeiting the document on lower-performance equipment will cause small shifts between the different colored sub-elements of the base layer elements; such registration errors will be largely magnified by the band moiré, and they will significantly corrupt the shape and the color of the band moiré image obtained by the revealing line grating layer.
The document protection by microstructure patterns is not limited to documents printed with black-white or standard color inks (cyan, magenta, yellow and possibly black). According to pending U.S. patent application Ser. No. 09/477,544 (Method an apparatus for generating digital half-tone images by multi-color dithering, inventors V. Ostromoukhov, R. D. Hersch, filed Jan. 4, 2000), it is possible, with multicolor dithering, to use special inks such as non-standard color inks, inks visible under UV light, metallic inks, fluorescent or iridescent inks (variable color inks) for generating the patterns within the bands of the base layer. In the case of a metallic ink (see U.S. patent application Ser. No. 10/440,355, Hersch, Emmel, Collaud), for example, when seen at a certain viewing angle, the band moiré patterns appear as if they would have been printed with normal inks and at another viewing angle (specular observation angle), due to specular reflection, they appear much more strongly. A similar variation of the appearance of the band moiré patterns can be attained with iridescent inks. Such variations in the appearance of the band moiré patterns completely disappear when the original document is scanned and reproduced or photocopied.
Using special inks visible under ultra-violet light (hereinafter called UV inks) for printing the base layer allows to reveal moiré images under UV light, but may either hide them completely or partially under normal viewing conditions. If UV inks which are partly visible under day light are combined with standard inks, for example by applying the multicolor dithering method cited above, photocopiers will not be able to extract the region where the UV ink is applied and therefore potential counterfeiters will not be able to generate the base layer, even with expensive printing equipment (offset). In the resulting forgered document, under UV light, no moiré image will appear.
Another advantage of the multichromatic case is obtained when non-standard inks are used to create the pattern in the bands of the base layer. Non-standard inks are often inks whose colors are located out the gamut of standard cyan magenta and yellow inks. Due to the high frequency of the colored patterns located in the bands of the base layer and printed with non-standard inks, standard cyan, magenta, yellow and black reproduction systems will need to halftone the original color thereby destroying the original color patterns. Due to the destruction of the patterns within the bands of the base layer, the revealing layer will not be able to yield the original band moiré patterns. This provides an additional protection against counterfeiting.
The base layer with one or several base band gratings and the revealing layer made of a revealing line grating may be embodied with a variety of technologies. Important embodiments for the base layer are offset printing, ink-jet printing, dye sublimation printing and foil stamping.
It should be noted that the layers (the base layer, the revealing layer, or both) may be also obtained by perforation instead of by applying ink. In a typical case, a strong laser beam with a microscopic dot size (say, 50 microns or even less) scans the document pixel by pixel, while being modulated on and off, in order to perforate the substrate in predetermined pixel locations. A revealing line grating may be created for example as partially perforated lines made of perforated segments of length l and unperforated segments of length m, with pairs of perforated and unperforated parts (l,m) repeated over the whole line length. For example, one may choose l= 8/10 mm and m= 2/10 mm. Successive lines may have their perforated segments at the same or at different phases. Different parameters for the values l and m may be chosen for different successive lines in order to ensure a high resistance against tearing attempts. Different laser microperforation systems for security documents have been described, for example, in “Application of laser technology to introduce security features on security documents in order to reduce counterfeiting” by W. Hospel, SPIE Vol. 3314, 1998, pp. 254-259.
In yet another category of methods, the layers (the base layer, the revealing layer, or both) may be obtained by a complete or partial removal of matter, for example by laser or chemical etching.
To vary the color of band moiré patterns, one may also chose to have the revealing line grating made of a set of colored lines instead of transparent lines (see article by I. Amidror, R. D. Hersch, Quantitative analysis of multichromatic moiré effects in the superposition of coloured periodic layers, Journal of Modern Optics, Vol. 44, No. 5, 1997, 883-899).
Although the revealing layer (line grating) will generally be embodied by a film or plastic support incorporating a set of transparent lines, it may also be embodied by a line grating made of cylindric microlenses. Cylindric microlenses offer a higher light intensity compared with corresponding partly transparent line gratings. When the period of the base band layer is small (e.g. less than ⅓ mm), cylindric microlenses as revealing layer may also offer a higher precision. One can also use as revealing layer curvilinear cylindric microlenses. One may also use instead of cylindric microlenses a diffractive device emulating the behavior of cylindric microlenses, in the same manner as it is possible to emulate a microlens array with a diffractive device made of Fresnel Zone Plates (see B. Saleh, M. C. Teich, Fundamentals of Photonics, John Wiley, 1991, p. 116).
In the case that the base layer is incorporated into an optically variable surface pattern, such as a diffractive device, the image forming the base layer needs to be further processed to yield for each of its pattern image pixels or at least for its active pixels (e.g. black or white pixels) a relief structure made for example of periodic function profiles (line gratings) having an orientation, a period, a relief and a surface ratio according to the desired incident and diffracted light angles, according to the desired diffracted light intensity and possibly according to the desired variation in color of the diffracted light in respect to the diffracted color of neighbouring areas (see U.S. Pat. Nos. 5,032,003 inventor Antes and 4,984,824 Antes and Saxer). This relief structure is reproduced on a master structure used for creating an embossing die. The embossing die is then used to emboss the relief structure incorporating the base layer on the optical device substrate (further information can be found in U.S. Pat. No. 4,761,253 inventor Antes, as well as in the article by J. F. Moser, Document Protection by Optically Variable Graphics (Kinegram), in Optical Document Security, Ed. R. L. Van Renesse, Artech House, London, 1998, pp. 247-266).
It should be noted that in general the base and the revealing layers need not be complete: they may be masked by additional layers or by random shapes. Nevertheless, the moiré patterns will still become apparent.
In a further embodiment, in a similar manner as disclosed in U.S. patent application Ser. No. 11/149,017, filed on the 10 Jun. 2005, by the same inventors as the present application, the base layer and the revealing layer are fixed one in respect to the other, separated by a thin, at least partly transparent layer, i.e. a layer which does not scatter light and which transmits a fraction of light at least in part of the wavelength range of interest (e.g. the visible wavelength range). When moving the eyes across the revealing layer line grating, due to the parallax effect (see [VanRenesse98], section 9.3.2), an apparent displacement between base layer and revealing layer is generated which yields the dynamic moiré effects shown in the examples above, especially in cases where the revealing layer line grating comprises straight lines or curved lines having a predominant orientation (e.g. cosinusoidal revealing layer of small amplitude and large period, elliptic revealing layer with relatively flat ellipses, or a small section of a circular line grating). In a general setup, the composed layer (fixed setup) comprising base layer and revealing layer can be observed at angles varying between −α (e.g. −45 degrees) and α (e.g. +45 degrees) in respect to the composed layer's normal vector. The corresponding part d of the base layer viewed through the revealing layer transparent lines or respectively sampled by the revealing layer lenticular lenses when varying the observation angle is therefore
d=2h tan α (36)
i.e. twice the distance h (also called gap) between base band layer and revealing layer multiplied by tan α, e.g. in the case of α=π/4 (45 degrees), we have d=2*h. In order to see the apparent displacement of a full moiré period by tilting the composed layer from −α (e.g. −45 degrees) to α (e.g. +45 degrees), the base band width w should not be larger than 2 h tan α, i.e. not larger than twice the distance between base band layer and revealing layer multiplied by tan α. If the base band width is made equal to the distance between base band layer and revealing layer multiplied by tan α, two moiré displacement periods may be observable when tilting the composed layer from −α to α in respect to the composed layer's normal. In order to create a composed layer with a very small distance h between base band layer and revealing layer (e.g. between h=5 μm to h=100 μm), the base bands should have a width w<2 h tan α, i.e a width smaller than the space that is scanned by the eyes when tilting the composed layer from −α to α in respect to the composed layer's normal. The base band patterns may be produced by very fine imaging technologies, such as laser engraving (see [VanRenesse98], section 9.3). A simple and cheap assembly of a composed layer consists in taking as revealing layer lenticular lenses located on a support having the desired thickness h and of fixing the base layer on the back face of the lenticular lense support. Note that the base layer can be diffusely reflecting, in order to be viewed in reflection mode, or partially transparent, in order to be viewed in transmission mode.
In a yet further embodiment, in a similar manner as disclosed in U.S. patent application Ser. No. 11/149,017, filed on the 10 Jun. 2005 by the same inventors as the present application, a security device may comprise as base layer, as revealing layer or for both layers an electronic display working in transmissive mode, e.g. a liquid crystal display. In
An authentication device may comprise as revealing layer an electronic display working in transmissive mode, e.g. a liquid crystal display (e.g.
ρ=√{square root over ((xt−cx)2+(yt−cy)2)}{square root over ((xt−cx)2+(yt−cy)2)} (9)
In this transformation, the original non-transformed base band grating is transformed into a circular base band grating and the revealing layer's original non-transformed revealing line grating is also transformed into a circular line grating. The revealing layer display software module may generate the circularly transformed revealing line grating moving concentrically in and out at different relative phases, thereby yielding a moiré image moving inwards and outwards in respect to the center (cx, cy) of the circular moiré layout (center of the corresponding geometric transformation of the moiré bands). The circular revealing layer grating is moved from one relative phase of a circular revealing layer grating into a second relative phase (defined as a phase transformation) by a simple increase of the radial coordinates of the circular lines of the revealing line grating, i.e.
The present invention presents improved methods for authenticating documents and valuable products, which are based on band moiré patterns produced by base and revealing layers computed according to a band moire layout model. Several embodiments of particular interest are given here by way of example, without limiting the scope of the invention to these particular embodiments.
In one embodiment of the present invention, the band moiré image can be visualized by superposing the base layer and the revealing layer which both appear on two different areas of the same document or article (banknote, check, etc.). In addition, the document may incorporate, for comparison purposes, in a third area of the document a reference image showing the band moiré image layout produced when base layer and revealing layer are placed one on top of the other according to a preferred orientation and possibly according to a preferred relative position. Furthermore, the band moiré image can be partitioned into different portions, each corresponding base layer portion and a revealing layer portion being laid out differently according to corresponding pairs of matching geometric transformations. Nevertheless, the band moiré image resulting from the superposition of base and revealing layers should be continuous, i.e. without breaks at the boundaries between band moire image portions and have the same layout as the reference band moiré image. When moving the revealing layer on top of the base layer, or, respectively when tilting a composed layer, the moiré image may remain continuous or on the contrary, one portion of the moiré image may become strongly deformed, possibly in a periodic manner.
In a second embodiment of the present invention, only the base layer appears on the document itself, and the revealing layer is superposed on it by a human operator or an apparatus which visually or optically validates the authenticity of the document. For comparison purposes, the reference band moiré image may be represented as an image on the document or on a separate device, for example on the revealing device. As in the first embodiment, the band moiré image can be partitioned into different portions, each corresponding base layer portion and revealing layer portion being laid out differently according to corresponding pairs of matching geometric transformations. And as in the first embodiment, upon displacing of one layer on top of the other, or respectively when tilting a composed layer, different portions of the moiré image may behave differently, by either remaining without deformation or by being deformed.
In a further embodiment, document authentication is carried out by observing the dynamic band moiré image variations produced when displacing or rotating the revealing layer on top of the base layer (or vice-versa) or respectively, by tilting a composed layer. Thanks to the comprehensive band moiré image layout model, geometric transformations of the base and/or revealing layers may be computed so as to yield given predetermined dynamic moiré image variations, for example no deformation of the band moiré image patterns when displacing the revealing layer vertically on top of the base layer (respectively when tilting the composed layer vertically) and a strong periodic deformation of the band moiré image patterns when displacing the revealing layer horizontally on top of the base layer (respectively when tilting the composed layer horizontally). Examples of dynamic band moiré image variations have been described in the preceding sections. Such dynamic band moiré image variations comprise moiré patterns moving along different orientations and according to different relative speeds, concentrically laid out moiré patterns moving in a radial manner, moiré which circularly rotate and moiré patterns which deform themselves periodically upon displacement of the revealing layer on top of the base layer. This enumeration is given only by way of example. Different transformations of the base and/or revealing layers yield different types of dynamic moiré patterns.
Any attempt to falsify a document produced in accordance with the present invention by photocopying, by means of a desk-top publishing system, by a photographic process, or by any other counterfeiting method, be it digital or analog, will inevitably influence (even if slightly) the layout, shape or patterns of the base band layer incorporated in the document. Factors which may be responsible for an inaccurate reproduction of the base band layer are the following:
Since the band moiré image is very sensitive to any microscopic variations in the base or the revealing layers, any document protected according to the present invention becomes very difficult to counterfeit, and serves as a means to distinguish between a real document and a falsified one.
When the base band layer is printed on the document with a standard printing process, high security is offered without requiring additional costs in the document production. Even if the base band layer is imaged into the document by other means, for example by generating the base layer on an optically variable device (e.g. a kinegram) and by embedding this optically variable device into the document or article to be protected, no additional costs incur due to the incorporation of the base band layer into the optically variable device.
In the same way as described in U.S. patent application Ser. No. 10/270,546, various embodiments of the present invention can be also used as security devices for the protection and authentication of industrial packages, such as boxes for pharmaceutics, cosmetics, etc. However, since the base band layer and revealing line layer are computed according to a band moire layout model, their respective layouts can be exactly computed in order to produce a band moiré image with the same layout and appearance as a reference moiré image. Furthermore, the possibility of partitioning the base and revealing layers into portions having different layouts but generating a same band moiré image offers a much stronger protection than the band moiré images produced according to U.S. patent application Ser. No. 10/270,546. In addition, thanks to the band moire layout model, it is possible to create specific dynamic variations of the band moiré images (see section “Authentication of documents with static and dynamically varying band moiré images”), which can serve as an authentication reference.
Let us enumerate examples of security documents protected according to the previously disclosed methods. Packages that include a transparent part or a transparent window are very often used for selling a large variety of products, including, for example, audio and video cables, connectors, integrated circuits (e.g flash memories), perfumes, etc., where the transparent part of the package may be also used for authentication and anticounterfeiting of the products, by using a part of the transparent window as the revealing layer (where the base layer is located on the product itself). The base layer and the revealing layer can be also printed on separate security labels or stickers that are affixed or otherwise attached to the product itself or to the package. A few possible embodiments of packages which can be protected by the present invention are illustrated below, and are similar to the examples described in U.S. Pat. No. 6,819,775 (Amidror and Hersch) in
Thanks to the comprehensive band moiré image layout model, a large number of possible transformations as well as many different transformation and positioning constants can be used to automatically generate base band grating layers and revealing line grating layers yielding a large number of rectilinear or curvilinear static band moiré images or dynamic band moiré images exhibiting specific properties when moving one layer on top of the other. The large number of possible band moiré images which can be automatically generated provides the means to create individualized security documents and corresponding authentication means. Different classes or instances of documents may have individualized base layer layouts, individualized revealing layer layouts and either the same or different band moiré image layouts.
A correspondence can be established between document content information and band moiré image synthesizing information, i.e. information about the respective layouts of base band grating, revealing line grating and band moiré image layers. For example, on a travel ticket, the information may comprise a ticket number, the name of the ticket holder, the travel date, and the departure and arrival locations. On a business contract, the information may incorporate the title of the document, the names of the contracting parties, the signature date, and reference numbers. On a diploma, the information may comprise the issuing institution, the name of the document holder and the document delivery date. On a bank check, the information may comprise the number printed on the check as well as the name of the person or the company which emits the check. On a banknote, the information may simply comprise the number printed on a banknote.
One may easily create for a given document content information a corresponding band moiré image layout information, i.e. one transformation and one set of constants for the band moiré image layer layout and one transformation and one set of constants for the revealing line grating layer layout, said transformations and constants being selected from a large set of available transformations and transformation constants, for example stored within a transformation library.
Individualized security documents comprising individualized base layers and corresponding revealing layers as authentication means may be created and distributed via a document security computing and delivery system (see
Within the server system, the repository module 376, i.e. the module creating associations between document content information and corresponding band moiré image synthesizing information is operable for computing from document information a key to access the corresponding document entry in the repository. The base band grating layer and revealing line grating layer synthesizing module 375 is operable, when given corresponding band moiré image synthesis information, for synthesizing the base band grating layer and the revealing line grating layer. Band moiré image synthesizing information comprises:
The base band grating layer and revealing line grating layer synthesizing module is operable for synthesizing the base layer and the revealing layer from band moiré image synthesizing information either provided within the request from the client system or provided by the repository module. According to the band moiré image synthesizing information, the base band period replication vector t is computed and the base band layer is created in the original space. The module is also operable for computing from the transformation m1(xt,yt), m2(xt,yt) defining the band moiré image layout in the transformed space the corresponding transformation h1(xt,yt), h2(xt,yt) defining the base band layer layout in the transformed space.
The server system's interface module 377 may receive from client systems
(a) a request comprising document content information for creating a new document entry;
(b) a request to register in a document entry band moiré image synthesis information delivered within the request message;
(c) a request to generate band moiré image synthesis information associated to a given document and to register it into the corresponding document entry;
(d) a request to issue a base layer for a given document;
(c) a request to issue a revealing layer for a given document;
Upon receiving a request 373, the server system's interface module interacts with the repository module in order to execute the corresponding request. In the cases of requests to issue a base or a revealing layer, the server system's interface module 377 transmits the request first to the repository module 376 which reads from the document entry the corresponding band moiré image synthesis information and forwards it to the base and revealing grating layer synthesizing module 375 for synthesizing the requested base or revealing layer. The interface module 377 delivers the requested base or revealing layer to the client system. The client system may print the corresponding layer or display it on a computer. Generally, for creating a new document, the interface module will deliver the printable base layer which comprises the base band grating. For authenticating a document, the interface module will deliver the revealing layer which comprises the line grating.
As an alternative, the server system may further offer two (or more) levels of protection, one offered to the large public and one reserved to authorized personal, by providing for one document at least two different revealing layers, generating each one a different type of static or dynamic band moiré image.
Thanks to the document security computing and delivery system, one may create sophisticated security document delivery services, for example the delivery of remotely printed (or issued) security documents, the delivery of remotely printed (or issued) authenticating devices (i.e. revealing layers), and the delivery of reference band moiré images, being possibly personalized according to information related to the security document to be issued or authenticated.
The advantages of the new authentication and anticounterfeiting methods disclosed in the present invention are numerous.
1. The comprehensive band moiré layout model disclosed in the present invention enables computing the exact layout of a band moiré image generated by the superposition of a base band grating and of a revealing line grating to which known geometric transformations are applied. The comprehensive band moiré layout model also allows specifying a given revealing line grating layout and computing a base band grating layout yielding, when superposed with the revealing line grating, a desired reference band moiré image layout.
2. An unlimited number of geometric transformations being available, a large number of base band grating and revealing line grating designs can be created according to different criteria. For example, the triplet formed by base band grating layout, revealing line grating layout and band moiré image layout may be different for each individual document, for each class of documents or for documents issued within different time intervals. The immense number of variations in base band grating layout, revealing line grating layout and band moiré image layout makes it very difficult for potential counterfeiters to forger documents whose layouts may vary according to information located within the document or according to time.
3. Since the same band moiré image may be generated when superposing different revealing layers on top of correspondingly computed base layers, base and revealing layers may be divided into several portions, each yielding the same band moiré image layout, but with different layouts of base and revealing layers. Since the shape of the masks determining the different portions within the base and revealing layers may be freely chosen, one may create revealing line and base band layers having a complex interlaced structure. Furthermore, the number of different portions may be freely chosen, thereby enabling the generation of very complex base layer and revealing layer layouts, which are extremely hard to forger.
4. Since the comprehensive band moiré layout model allows, for a given band moiré image layout, to freely chose the layout of the revealing line grating, one may optimize the layouts of the base and the revealing layers so as to reveal details which are only printable at the high resolution and with the possibly non-standard inks of the original printing device. Lower resolution devices or devices which do not print with the same inks as the original printing device will not be able to print these details and therefore no valid band moire image will be generated when superposing the revealing layer on top of a counterfeited base layer.
5. The band moiré layout model also allows predicting how displacing the revealing layer on top of the base layer or vice-versa affects the resulting band moiré image. Depending on the respective layouts of a pair of base band grating and revealing line grating layers and on the orientation of the base band replication vector t, the following situations may occur when displacing the revealing layer on top of the base layer (or vice-versa), or when tilting a composed layer in respect to an observer:
6. The comprehensive band moiré layout model also allows to conceive base band grating and revealing line grating layouts, which generate, when displacing the revealing layer on top of the base layer, or, equivalently, when tilting the composed layer, a desired reference dynamic transformation of the resulting band moiré image. Example C shows that a rectilinear revealing layer superposed on top of a correspondingly computed base layer yields a circularly laid out band moiré image. When displacing the rectilinear revealing layer on top of the base layer, or, equivalently, when tilting the composed layer, the moiré image patterns move radially toward the exterior or the interior of the circular moiré image layout and may possibly be subject to a smooth deformation of its width to height ratio. Example E shows another example, where rotating the revealing layer on top of the base layer, at the coordinate system origin, yields moiré image patterns which move toward the exterior or the interior of the circular moiré image layout, depending on the rotation direction. And Example F shows a last example where upon displacement of the revealing layer, or, equivalently, when tilting the composed layer, a moiré image moves tangentially to the moiré layout, i.e. in the case of a circular moiré layout, perperdicularly to the radial displacement shown in Example E. In that specific example, the moiré movement is a circular rotation.
7. A curvilinear band moiré image having the same layout as a reference band moiré image can be generated by deducing according to the band moiré layout model the geometric transformations to be applied to the base layer and to the revealing layer. Since one of the two layer transformations can be freely chosen, the curvilinear base band layer may be conceived to incorporate orientations and frequencies, which have a high probability of generating undesired secondary moirés when scanned by a scanning device (color photocopier, desktop scanner). Such orientations are the horizontal, vertical and 45 degrees orientations, as well as the frequencies close to the frequencies of scanning devices (300 dpi, 600 dpi, 1200 dpi).
8. The base band layer generated according to the band moiré layout model may be populated with opaque color patterns printed side by side at a high registration accuracy, for example with the method described in U.S. patent application Ser. No. 09/477,544 (Ostromoukhov, Hersch). Since the band moiré patterns generated by the superposition of the base grating and of the revealing line grating are very sensitive to any microscopic variations of the pattern residing in the base bands of the base layer, any document protected according to the present invention is very difficult to counterfeit. The revealed band moiré patterns serve as a means to easily distinguish between a real document and a falsified one.
9. A further important advantage of the present invention is that it can be used for authenticating documents by having the base band or the revealing line layer placed on any kind of support, including paper, plastic materials, diffractive devices (holograms, kinegrams) etc., which may be opaque, semi-transparent or transparent. Furthermore, the present invented method can be incorporated into the background of security documents (for example by placing the base layer in the background and by allowing to write or print on top of it). Because it can be produced using standard original document printing processes, the present method offers high security without additional cost.
10. A further advantage is the possibility of generating the described diversity of moiré effects, both static and dynamic, with a fixed setup, i.e. with a base band grating layer and a revealing line grating layer separated by a gap, as described in the section “Embodiments of base and revealing layers”.
11. A further advantage of the proposed model-based band moiré generation relies on the fact that modifying the relative superposition phase of the revealing layer in respect to the base layer may require a non-rigid relative superposition phase transformation of the revealing layer, i.e. a transformation different from a translation and/or a rotation. Such a non-rigid relative superposition phase transformation can be performed with a revealing layer embodied by an electronic transmissive display driven by a revealing layer display software module. Since its functionalities, i.e. mainly the geometric transformation and the relative superposition phase transformation that are carried out by the display software module in order to generate on the display a transformed revealing layer line grating whose relative superposition phase varies dynamically, are not known to potential counterfeiters, they will not be able to create the corresponding matching base layer.
12. A further advantage relies on the fact that model-based synthesis of band moiré images enables generating a huge number of base layer variants, and revealing layer variants and band moiré image variants. Many different base layer and revealing layer layout pairs may be conceived so as to generated, upon superposition of base and revealing layer, the same band moiré image layout. A same band moiré image layout may however behave completely differently upon displacement of the revealing layer on top of the base layer. The band moiré image patterns may either remain as they are, undergo a smooth attractive transformation or be subject to a deformation which seems to destroy them, possibly in a periodic manner. Both the properties of static band moiré images (no revealing layer movement) or/and the properties of dynamic band moiré images may serve as authentication means.
13. A further advantage lies on the fact that both the base layer and the revealing layer can be automatically generated by a computer. A computer program generating automatically the base and revealing layers needs as input an original desired reference band moiré image, parameters of the base band grating and of the revealing line grating in the original space as well as geometric transformations and related constants enabling to create the base band grating layer and the revealing line grating layer in the transformed space. It is therefore possible to create a computer server operable for delivering both base layers and revealing layers. The computer server may be located within the computer of the authenticating personal or at a remote site. The delivery of the base and revealing layers may occur either locally, or remotely over computer networks.
14. Based on the computer server described in the section “Computing server for the synthesis of base and/or revealing layers” one may create sophisticated security document delivery services, for example the delivery of remotely printed (or issued) security documents and the delivery of remotely printed (or issued) authenticating devices, being possibly personalized according to information related to the security document to be issued or authentified.
U.S. Patent Documents
The present invention is a continuation in part of patent application Ser. No. 10/879,218, filed 30 Jun. 2004. The newly disclosed embodiments comprise a fixed setup of base band layer and revealing line grating layer forming a composed layer, where, thanks to the well-known parallax effect, by tilting the composed layer in respect to the eyes or to an observer, an apparent displacement between base band layer and revealing layer is generated, which yields the dynamic moiré effects described in the parent patent application Ser. No. 10/879,218. The present invention also discloses new, non-trivial moiré image effects, such as circular or elliptic rotations of moiré patterns.
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| Number | Date | Country | |
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| Number | Date | Country | |
|---|---|---|---|
| Parent | 10879218 | Jun 2004 | US |
| Child | 11349992 | US |
