Patent Grant
8037813
1. Field of the Invention
The invention relates to methods of forming thin edible pieces, and in particular very thin edible pieces having novel contoured surfaces.
2. Description of the Related Art
The manufacture of thin edible pieces imposes significant technical constraints and challenges. Molding techniques and apparatus, such as those conventionally used for making molded chocolate products, place significant limitations on the product that may be obtained. For example, thin chocolate pieces cannot be molded using conventional techniques because demolding requires the mold to be turned over, and sometimes pounded, to release the solidified chocolate. Thin pieces lack the necessary weight relative to surface area to fall out of their own accord, and attempts to extract them from the mold would likely break them.
The constraints of mold design also limit the configuration of the molded products in other ways. Molded products are generally flat-backed, as the molded material must fill, and then sit in, the mold. Further, draft angles of the mold (also called release angles) must be at least about 7 degrees, preferably 8 to 10 degrees or greater to prevent pieces from becoming stuck in the mold. It is also very difficult to obtain a piece having sharp angles using conventional mold design, as air may be trapped in the recesses, making it difficult to remove the piece. See, e.g., P. Harbecke, The Creation and Manufacture of a Chocolate Mould, 39th P.M.C.A. Production Conference (1985).
Working by hand with chocolate (i.e., not in the context of making a manufactured confectionery product) chefs have been able to use the expedient of adding extenders, typically large amounts of corn syrup or other carbohydrate syrup, to allow the chocolate to be worked in a plastic state for a relatively long period of time before it sets. However, these items are intended for display, and are only rarely eaten, as the additives deleteriously effect the taste or texture of the chocolate product, which after initially attaining a fudge-like consistency quickly becomes dry and brittle.
Typically, as much as a third of the so-called ‘modeling chocolate’ is some type of corn or sugar syrup. Typically, SOI chocolates have a very low moisture content, usually below 1.0% by wt. This very low moisture is critical to the chocolate having the expected mouthfeel and flavor profile associated with pure chocolate products. With the introduction of such large amounts of syrups, the moisture contents are raised very significantly, perhaps to 10% or higher. The result is that the texture of the liquid chocolate becomes extremely viscous and fudge-like rather than fluid. Additionally, after the chocolate pieces age for a few days, the chocolate takes on a dry and brittle texture which is completely unsuitable for consumption as a normal chocolate product. Thus, there continues to be a need for techniques and apparatus for forming very thin chocolate products having complex shapes which are made out of pure chocolate without using extenders.
U.S. Pat. No. 6,303,171 B1 describes a method and device for producing thin pieces of chocolate having curved surfaces. The apparatus comprises a flexible forming belt on which slices of chocolate are deposited. The flexible belt is passed through a trough having narrower width than the belt, forcing the sides of the belt to bend upwards and imparting a simple curvature to the slice. The belt and slice are passed through a cooling tunnel in this position, to form solidified curved chocolate slices. A flexible, continuous, forming substrate, like the flexible belt described in U.S. Pat. No. 6,303,171 B1, can hold only a limited number of stable forming positions while it is conveyed through the cooling tunnel. Consequently, the surface contours of the pieces that can be manufactured with that apparatus are limited as a practical matter to simple bends.
Thus, there continues to be a need in the art for processes and apparatus which can be used to form very thin edible pieces, and for methods of forming thin edible pieces into contoured designs. There is a particular need for such processes and apparatus that can be used to manufacture and impart contour to very thin chocolate pieces, even using Standard of Identity chocolate that has not been adulterated with extenders.
In one aspect, the invention is an apparatus for forming an edible piece, comprising a first continuous belt moving on a belt path and having at least one cutout in a cross-sectional surface thereof and a second continuous belt having at least a first portion positioned below the first continuous belt and in an engaging relationship with the cross-sectional surface of the first continuous belt at a first position on the belt path. The first and second continuous belts together define a fill cavity having walls defined by the profile of the cutout. A depositor is adapted to deposit an edible mass in the fill cavity, and a control unit registers the movement of the first and second belt so that the edible mass in the fill cavity moves to a second position where the first and second continuous belts separate from each other.
In another aspect, the invention is a method of forming contoured edible pieces (hereinafter, a “belt forming method”) comprising the steps of:
(a) providing a first continuous belt moving on a belt path and having at least one cutout in a cross-sectional surface thereof and a second continuous belt having a portion positioned below the cross-sectional surface of the first continuous belt in an engaging relationship therewith at a first position on the belt path so as to form a bottom portion of the at least one cutout and create a fill cavity having walls defined by the cutout; (b) adding an edible mass to the fill cavity to form an edible blank; (c) transporting the fill cavity and the edible blank to a second position on the belt path; (d) cooling the edible blank so that it at least partially sets; (e) separating the first continuous belt from the second continuous belt at the second position on the belt path; and (f) releasing the contoured edible blank from the first or second belt.
In still another aspect, the invention constitutes methods and apparatus for forming contoured edible pieces, hereinafter the “forming methods” and “forming apparatus” respectively. The forming methods and apparatus may be combined with the belt forming methods and apparatus, or they may be practiced independently.
A general method of forming contoured edible pieces according to the invention comprises the steps of: conveying an edible blank on a conveyor belt; conditioning the edible blank, contacting the conditioned edible blank with a rigid member having a contoured forming surface to form a contoured edible piece; removing the contoured edible piece from the forming surface, and stabilizing the contoured edible piece.
In the most preferred embodiments, the contoured edible pieces are chocolate. In this context, conditioning refers to the degree of solidification of the edible mass. A conditioned edible blank is one in which a phase change or change in viscosity has been induced to put the edible blank in a malleable state. In the context of chocolate pieces, stabilizing refers to a process to increase the degree of crystallization of the edible piece to a point where the edible piece has stable crystal polymorphs.
In embodiments, the general method for forming contoured edible pieces is practiced with a rotating forming drum as the rigid member (hereinafter, a “roll forming method”). The conditioned edible blank is held against the drum by a backing belt as the drum rotates. The backing belt may be the same belt used to convey edible pieces in the processes described above for forming thin edible blanks, i.e., the second continuous belt.
In other embodiments, the general method for forming contoured edible pieces is practiced by transferring a conditioned edible blank to a first die, followed by pressing the blank between the first die and a second die to impart contour. The forming step imparts the desired contour to the blank without changing its thickness.
The corresponding apparatus for forming contoured edible pieces comprises a continuous conveyor belt adapted to convey conditioned edible blanks along a belt path, the blank having a bottom surface in contact with the conveyor belt and a top surface opposite the bottom surface. The apparatus is provided with a temperature controller adapted to control a temperature to which the conditioned edible blank is exposed on at least a portion of the belt path (if necessary, to condition or maintain the conditioning of the edible blank); a rigid member having a contoured forming surface adapted to support a surface of the conditioned edible blank removed from the conveyor belt; a pressing member contacting a surface of the blank opposite the surface contacted by the rigid member, to press the conditioned edible blank against the rigid member and impart contour to the blank and form a contoured edible piece; and a transfer member adapted to remove the contoured edible piece supported on the rigid forming surface.
In one embodiment of the apparatus (hereinafter, a “roll forming apparatus”) the rigid member is a rotating forming drum contacting the top surface of the conditioned edible blank while the bottom surface contacts the conveyor belt; and the conveyor belt is the pressing member, which presses the conditioned edible blank against the surface of the forming drum held by a backing roller as the forming drum rotates. The forming drum has conduits circulating coolant to and from the drum to control the temperature of the forming surface. The temperature of the forming surface is controlled to improve the release characteristics so that the contoured edible piece can be removed from the forming surface.
Alternatively, the conditioned edible blank is transferred from the conveyor belt to at least one first rigid die and the contoured edible piece is formed by pressing the edible blank between the first die and a second rigid die at a forming station. Preferably, a plurality of dies is used. The dies are transported on a die transport path from the conveyor belt, where the blank is positioned on the first die, to a forming station.
Products according to the invention are very thin chocolate products characterized by (a) having a thickness dimension of less than about 2.0 mm; (b) having a substantially uniform thickness over the entire area of the product; (c) having a smooth and unbroken surface finish; (d) having at least one curve along at least one axis of curvature; and (e) having a moisture content of less than 2.0 percent.
Preferably the moisture content is less than 1.5 percent, more preferably less than 1.2 percent, still more preferably less than 1.0 percent and most preferably less than 0.8 percent. As noted above, these ranges are generally consistent with SOI chocolate, and in any event differ from the moisture content that would be found in a chocolate that had been adulterated to permit shaping.
Preferred products according to the invention may be distinguished from shell molded pieces by the absence of draft angles.
a is a detail of an apparatus according to the invention showing an embodiment of a depositor and fill cavity.
b is a detail of an apparatus according to the invention showing another embodiment of a depositor and fill cavity.
a,
The invention is directed to manufacture of thin and in particular very thin edible pieces. “Thin” is defined as having a thickness of about 2.00 mm to about 4.00 mm “Very thin” is defined as having a thickness in a range of about 1.0 mm up to about 2.00 mm “Ultra thin” is defined as having a thickness less than about 1.0 mm The edible pieces manufactured with the methods and apparatus described herein preferably have a substantially uniform very thin thickness. Preferably the thickness is in a range of 1.00 mm to 2.00 mm More preferably, the thickness is in a range of 1.00 mm to 1.50 mm Still more preferably, the thickness is in a range of about 1.00 mm to 1.25 mm Most preferably, the thickness is in a range of about 1.00 mm to about 1.15 mm.
“Substantially uniform thickness” means that the piece is designed to have a uniform thickness and that the product appears that way to a consumer. It is understood that a piece may have substantially uniform thickness even if there is an unavoidable thickening or thinning at a portion of the product. Likewise, in some instances described hereafter, it will be desired to emboss or engrave the thin edible pieces with a design. Such pieces nevertheless are considered to have a substantially uniform thickness.
Another important aspect of the invention is the formation of three-dimensionally contoured pieces. As used herein, a piece is “contoured” if it bends into the plane perpendicular to the thickness dimension, i.e., the piece bends in three dimensions, as compared to a tablet or a slab. The piece may be curved with respect to a single axis, or it may have a surface with multiple curves, formed with respect to multiple axes.
The “thickness” of an edible piece, as used herein, means the smallest dimension of the edible piece, which is generally a direction perpendicular to the surface on which the edible piece is formed, such as the second continuous belt. In ordinary parlance, length is the longest dimension of an article, and width is the second longest dimension. However, in the present context, it is sometimes necessary to define the “length” of a piece with respect to the transport on the belt or over the gap between two belts. In this context, when an edible piece is transported on a belt, the “length” of the edible piece means the dimension of the piece in a direction of travel on the belt, and “width,” means the dimension of a piece in a direction perpendicular to the direction of travel of the piece, notwithstanding the relative magnitude of these dimensions in the particular case.
The invention has particular application to the manufacture of very thin chocolate or chocolate-like pieces. As used herein, the term “chocolate” refers to all chocolate or chocolate-like compositions with a fat phase or fat-like composition such that the composition can be processed according to the methods and with the apparatus described herein. The term refers, for example, to chocolates with compositions that conform to the U.S. Standards Of Identity (“SOI chocolate”), and compositions that do not conform to the U.S. Standards Of Identity (“non-SOI chocolate”). The standards of identity for different kinds of chocolate are found in Title 21, Part 163 of the Code of Federal Regulations, herein incorporated by reference. “Pure SOI chocolate,” as that term is used herein, is chocolate that meets the Standards Of Identity for chocolate, and that is further substantially free of corn syrups or other carbohydrate syrups used as an extender. Non-SOI chocolates include those in which at least one of the standard ingredients of chocolate (i.e., one or more of the nutritive carbohydrate sweetener, the cocoa butter, and the milk fat) are replaced partially or completely, those in which components that have flavors that imitate milk, butter, or chocolate are added, and those in which other additions or deletions in the formulation are made that are outside FDA standards of identity of chocolate.
As used herein, the term “chocolate” includes dark chocolate, baking chocolate, milk chocolate, sweet chocolate, semi-sweet chocolate, buttermilk chocolate, skim milk chocolate, mixed dairy product chocolate, low fat chocolate, white chocolate, aerated chocolates, compound coatings, and chocolate-like compositions, unless specifically identified otherwise. “Chocolate” also includes crumb solids or solids fully or partially made by a crumb process.
A detailed description of the invention follows with specific reference to the figures. As shown in
The second continuous belt 14 is preferably formed from a highly flexible material having a high thermal conductivity, such that the temperature of the surface of the belt in contact with the edible blank changes rapidly as the belt moves from thermal contact with the heater or the cooler. Most preferably, the belt is a thin belt of TEFLON® (polytetrafluoroethylene) coated KEVLAR® (a para-aramid fiber, where the para-aramid fiber comprises oriented molecular chains of poly-paraphenylene terephthalamide, having inter-chain bonding), or other material with similar performance characteristics that is approved for contact with food. Generally, the thickness required for the conveyor belt is determined by the length of the belt path and the speed of the belt along the path, which, in part, determine the required tensile strength of the belt. Preferably, the belt has a thickness of from about 0.008 inch (0.20 mm) to about 0.03 inch (0.76 mm), more preferably from about 0.01 inch (0.25 mm) to about 0.025 inch (0.635 mm), and, most preferably, from about 0.011 inch (0.25 mm) to about 0.02 inch (0.50 mm) A particularly useful belt for use with a belt forming apparatus has a thickness of from about 0.012 inch (0.30 mm) to about 0.015 inch (0.38 mm) The thermal conductivity of the conveyor belt is preferably from about 130 watts/meter·K to about 160 watts/meter·K, more preferably from about 140 watts/meter·K to about 155 watts/meter·K, and, most preferably, from about 145 watts/meter·K to about 150 watts/meter·K.
Depositor 18 is used to deposit an edible mass in the fill cavity 16. The type of edible mass is not particularly limited provided that it can be made to flow such that the fill cavity is evenly filled. The edible mass must also have a substantial change in viscosity over a usable temperature range. Table 1 below sets forth temperature ranges at which certain edible materials attain fluid, plastic and solid states, and a temperature and period of time for which they must be contacted to achieve a transition from one state to the other. The preferred edible mass is a chocolate or chocolate-like product, however, the process and apparatus described herein may also be used effectively with caramel, fudge, cookie dough, ice cream, pet food, sugar syrup, gels, pectin, pastry dough, pasta dough and batter.
Depositor 18 may be a static depositor, which is essentially a dead-head pipe containing no moving parts, as shown in
In the state that the edible mass is deposited in the fill cavity 16, it is referred to as an “edible mass.” After the edible mass conforms to the outline of the cutout in the first continuous belt, it is referred to as an “edible blank.” Once the edible blank has solidified somewhat, i.e., so that it is no longer fluid but is in a malleable state, it may still be called an edible blank, but is more specifically referred to as a “conditioned edible blank”. Subsequent processing to impart a contoured surface results in the formation of a “contoured edible piece.” The term “edible piece” is understood broadly, and includes both the edible blanks prior to further process steps being performed on them, and the subsequently formed contoured edible pieces. This terminology is used throughout the following process description.
At a first position 21 on the belt path, the edible mass flows to fill the fill cavity 16 and form an edible blank 15 having a substantially uniform thickness (i.e., the thickness of the belt). In some cases it may be desirable to warm the edible mass, either by warming the surrounding atmosphere, or by warming the belt, for example with a heating element 23, so that the temperature of the chocolate is in a range of about 25° C. to about 32° C. In this range, the chocolate will remain flowable and also retain its temper. A vibrator (not shown) may be used, for example, under the belt, to help the edible mass to evenly fill the fill cavity 16.
The atmosphere proximate the belts and the edible blanks, and contacting the entire apparatus, should have a dew point temperature less than the temperature of the equipment and the edible blanks to prevent condensation. Ambient temperature control, including heaters, coolers, humidifiers and dehumidifiers capable of maintaining the dew point temperature at the appropriate level are known to those of ordinary skill in the art.
The first and second belt (10, 14) are moved together with the edible blank to a second position 20, where the second belt separates from the first belt. After the edible mass is deposited, and before the belts separate, the edible mass must be cooled so that it at least partially sets. This may be done with a cooling element 22 in contact with the underside of the second belt 14, for example, a cooling plate having conduits through which a coolant can be circulated. The edible blank may be retained on the second belt at second position 20, as in
Alternatively, returning to
The second continuous belt abruptly changes direction at bull nose 26, and the edible blank is released from the second continuous belt by passing the second continuous belt over the bull nose 26, and the blank is transferred to pick-up belt 30.
The bull nose 26 provides a radius of curvature to the belt path of the second continuous belt that is sufficiently small that the edible blank is released from the conveyor belt as the conveyor belt passes over the bull nose. Typically, the belt path has a change of direction of at least about 90 degrees at the bull nose, preferably, at least about 135 degrees. Most preferably, the belt path has a change of direction of from about 135 degrees to about 150 degrees at the bull nose. The bull nose preferably has a radius of from about 0.125 inch (3.18 mm) to about 1 inch (25.4 mm), although the bull nose may have any radius that is sufficiently small to allow chocolate on the belt to separate from the belt as the belt passes around the bull nose. The belt path of the second continuous belt no longer coincides with the belt path of the first continuous belt after the second position on the belt path where the two belts separate from one another.
Typically the bull nose comprises a roller, but a “knife edge” type of bull nose is also known in the art. In any case, the bull nose provides a change of direction which is effective to release the edible blank from the second continuous belt 14 and allow transfer to pick-up belt 30. In general, the second continuous belt will travel in a first direction approaching the bull nose, and a second direction moving away from the bull nose, and the radius of curvature is measured over the change in direction between the first direction and the second direction. In this context, the “length” of the product is in the direction of travel of the belt. In the typical case where the bull nose is a roller, the radius of curvature will simply be the radius of the roller that the belt travels over to change direction. Generally, the ratio of the bull nose radius of curvature to the length of the edible blanks is less than 2:1 and greater than 0.1:1, preferably greater than 0.3:1. Preferably, the ratio is in a range between 1:1 and 0.5:1. For relatively smaller pieces a sharper bull nose is required to effectively separate the piece from the belt. However, at the low end of piece size and bull nose radius, wear and maintenance of the belt are factors that must be considered. Another consideration is the size of the gap between the point where the belt changes direction over the bull nose 26, and the pick-up belt 30 onto which the edible blanks may be transferred. The gap must be smaller than the length of the piece, and therefore the size of the bull nose 26 and the change of direction must also accommodate positioning the pick-up belt 30.
In an embodiment shown in
A portion of the second continuous belt forming the bottom of the fill cavity may in some instances comprise a raised portion or a depressed portion adapted to create a corresponding embossed or engraved pattern in the edible blank and in the finished piece.
The forming methods and apparatus shall be described in connection with a process of making edible blanks using the belt forming methods and apparatus described above. However, it is understood that the forming methods and apparatus have a distinct mode of operation and separate utility and that they may be used separately. The process of imparting a three dimensional contour to the flat edible blanks according to the invention requires the steps of conveying the blanks on a conveyor belt, conditioning the blanks to a temperature and consistency so that they can be formed properly, contacting the blanks with a forming surface to impart contour, supporting the blanks on the forming surface, and removing the contoured edible pieces from the forming surface. These steps need not be conducted in order, in that conditioning may be conducted while the edible blanks are conveyed or while they are on the forming surface.
In all cases, the edible blanks must be conditioned before they can be contoured. This is the case whether the blanks are adhered onto the second continuous belt 14 as shown in
Two particularly preferred embodiments of the forming station are the forming roller station and the linear die stamping station. In a linear die stamping station, as shown in part of
A preferred embodiment of the invention comprises a plurality of dies 58 which are transported on transport path 70. As shown in
The first and second die preferably have a polymeric forming surface 59 having a Shore A durometer hardness in a range of about 40 to about 80, preferably in a range of about 50 to about 70 and most preferably about 60. The forming surface 59 of the first die 58 is contoured to correspond to a desired contour of the contoured edible piece. The first and second die have complementary contoured surfaces adapted to approach each other to a distance approximately equal to the desired thickness of the contoured edible piece, to press the edible blank between them and form the contoured edible piece. The dies do not displace the chocolate in the thickness direction. Cooling and/or heating elements (not shown) may be provided to maintain the forming surface at a desired temperature; in embodiments the forming surface will be maintained in a range of about −25° C. to about 15° C.
Robotic pick-off arm 86 removes the contoured edible pieces from the forming surfaces 59 of the dies 58. The finished contoured edible pieces are transported away from the apparatus in conveying bins 71 on path 72.
Where the forming station is a roll forming station, the step of contacting an edible blank to impart contour may be conducted by contacting the edible blank with a rotating forming drum 50. As shown in
Forming surface 51 may be contoured in the desired shape of the contoured edible piece. Preferably conduits (not shown) circulate coolant to and from the forming drum 50 effective to maintain the temperature of the forming surface in a range of about −25° C. to about 15° C. Contact of the conditioned edible blank with the rotating forming drum 50 is generally long enough that the conditioned edible blank 15 will retain the contour imparted by the forming surface. For example, the drum may contact the conditioned edible blank for a period of about 2 to about 5 seconds. The surface temperature of the chocolate in contact with the forming surface upon being removed from the forming surface is preferably 15° C. to 16° C.
The forming drum has a generally cylindrical shape, wherein a portion of the radial surface thereof is a forming surface that imparts a three-dimensional contour to the edible blank. Thus, if the drum is a simple cylinder rotating on an axis, and each point on the forming surface is about the same distance from the axis of the drum, the contour imparted to the contoured edible piece is a like curve with respect to the axis of the drum, and this curvature is specified by the diameter of the drum. However, more complex contours may be generated by varying the distance of the forming surface to the axis of the drum at different points and the forming surface may be further contoured to create more complex contours. For example, the distance from the forming surface to the axis of the drum may vary in a direction 87 parallel to the axis of the drum as shown in
Dove Milk Chocolate®, a commercially available milk chocolate, was melted and tempered in a Sollich Mini Tempering System TED 150. The chocolate was cooled from 45° C. to 28° C. to produce cocoa butter crystals of stable and unstable polymorphs. The tempered chocolate was then warmed slightly to 31° C. to melt out unstable crystals. The tempered chocolate was held at 31° C. and had a temper level of 6 CTU (° F.) and 0.5 slope as determined by Tricor Tempermeter Model 501.
A urethane belt material (1.5 mm thick) with a rose petal pattern cut out (41 mm, major axis×31 mm, minor axis) was used in conjunction with a segment of a second belt material (white polyurethane). The two belts were sandwiched together to lay flat such that an open cavity was formed. Approximately 10 cm3 of chocolate, having a temperature of 28-30° C. was poured into the open cavity formed by the top urethane belt. The chocolate was spread and leveled using a putty knife held at 30° off the horizontal. The urethane template was removed, leaving a flat chocolate blank as an oval pattern (to form a rose petal profile). Promptly after removal of the template the chocolate formed on the white polyurethane belt was vibrated for approximately 2 seconds using a low amplitude, high frequency device (FMC Syntron Jogger Model J-50). This vibration step rounded the edges to give a more uniform piece. The belt segment with the chocolate blank was placed into a Sollich cooling tunnel Type MK280. The tunnel was set up with internal conditions of approximately 20° C., 10 cfm air velocity. The chocolate blank was conditioned under these conditions for approximately 2.5 minutes. The belt/chocolate blank exited the tunnel and the belt was pulled over a 5-mm radius edged surface perpendicular to the chocolate blank. This separated the solidified (conditioned) chocolate blank from the belt. The chocolate blank was moved to a shaping station consisting of upper and lower dies. The dies were constructed of an FDA silicone rubber (60 Durometer, Shore A). Each die was contoured with a contoured surface reflecting the shape of a single rose petal. The chocolate blank was placed into the lower die. The upper die was slowly lowered to press the flat chocolate pattern (oval blank) into the shape reflected in the surfaces of the die set (contoured rose petal). The dies were held at a surface temperature of 13° C. The dies and contoured chocolate piece were held in this position for approximately 6 seconds. The moisture content of the edible piece was less than 1.00 percent. The contoured chocolate piece became stable and was transported to a packaging station.
Edible products made according to the invention have varied surface contours.
The three equations for the y coordinates as a function of x, where x varies between 0 and L, where L is equal to the length of the product, along with regression data.
y1=0.000002108067x6−0.000199449936x5+0.007270370913x4−0.129584821630x3+1.209739437447x2−5.277970931901x−24.489867365819[R2=0.9937]
y2=−0.00000056102035x6+0.00007167997404x5−0.00358575427859x4+0.08698817808531x3−1.07422703903911x2+7.01904281974441x−33.99713527451100[R2=0.9848]
y3=0.00000077352x6−0.00006388498x5+0.00184230832x4−0.02129832177x3+0.06775619920x2+0.87053594393x−29.24350132017[R2=0.9935]
z1=−0.0000013699x6+0.0001135834x5−0.0034277567x4+0.0445869705x3−0.2159520665x2+0.3737026822x−30.1826112457[R2=0.9775]
z2=−0.00000089237x6+0.00007996098x5−0.00263083874x4+0.03992789295x3−0.31227790068x2+1.62356002215x−31.41230178491[R2=0.9560]
z3=−0.0000011312x6+0.0000967722x5−0.0030292977x4+0.0422574317x3−0.2641149836x2+0.9986313522x−30.7974565153[R2=0.9810]
In the foregoing example, two sets of sixth order polynomial equations were used to define the outlines of the contoured product and the roughly ‘center-line’ of the product in the x-y and x-z planes, respectively. The equations fit well to the lines as evidenced by the high regression calculation results (all better than 0.95). It is preferred to use more than three equations to define the product contours in each plane. It is also preferred to use sets of polynomial equations that are greater than third order in the x variable to define the y and z coordinates. The more complex the contours of the product, the higher the order of the equations should be to properly define the contoured piece. Equations that are fifth or higher order in the x variable are preferred, seventh or higher order are more preferred, and it is most preferred to use tenth or higher order to characterize a contoured piece according to the invention.
Thus, in a general model, the contoured shape of the chocolate product can be defined in three-dimensional space by sets of polynomial equations of the form
yk=ak,0+ak,1x+ak,2x2+ . . . +ak,nxn
zk=bk,0+bk,1x+bk,2x2+ . . . +bk,nxn
where x varies between 0 and L where L equals the length of the contoured chocolate product.
In preferred embodiments, at least a2 and the x2 term in the equation for y above is not zero. Alternatively, at least b2 and the x2 term in the equation for z above is not zero. In preferred embodiments, both the a2 term and the b2 term and the corresponding x2 terms in both equations are not zero. Still more preferably, the equations for y and z above contain third order or higher terms which are not zero.
In the above general model, at least two equations are used to define the contoured shape in terms of x and y, having the form
y1=a1,0+a1,1x+a1,2x2+ . . . +a1,nxn
y2=a2,0+a2,1x+a2,2x2+ . . . +a2,nxn
Preferably, at least one of a1,2 and a2,2 and the x2 terms in the equations for y1, y2, etc., above are not zero. In preferred embodiments, all of the second order terms for y1, y2, etc., are not zero. More preferably, the equations for y1, y2, etc., above contain third order or higher terms which are not zero.
In the above general model, at least two equations are used to define the contoured shape in terms of x and z, and the equations are of the form
z1=b1,0+b1,1x+b1,2x2+ . . . +b1,nxn
z2=b2,0+b2,1x+b2,2x2+ . . . +b2,nxn
Preferably, at least one of b1,2 and b2,2 and the x2 terms in the equations for z above are not zero. In preferred embodiments, all of the second order terms for z1, z2, etc., are not zero. More preferably, the equations for z above contain third order or higher terms which are not zero.
In a different model, the contoured shape can be defined in three dimensional space by a polynomial equation of the form
z=a0+a1,0x+a0,1y+a1,1xy+a2,1x2y+a1,2xy2+a2,2x2y2+ . . . +an,mxnym
where x varies between 0 and L, where L is equal to the length of the product and y varies between f1(x) and f2(x), where f1 is a function that describes the dependence between y and x for a first edge of the product, and f2 is a function that describes the dependence between y and x for a second edge of the surface.
In this case it is preferred that one of the x2y, xy2 or x2y2 terms is not zero. Preferably, all of the second order terms are not zero. Still more preferably, a contour defined by the invention has third order or higher terms which are not zero.
Whereas prior art molded chocolate products according to the prior art are limited to having a shape of a simple bend, the contoured chocolate product according to the invention may have two or more curves along a single axis of curvature (as in a wave form). Likewise, the product may have at least one curve along two axes of curvature (including certain quadric shapes, such as a saddle), or at least two curves along one axis of curvature and at least one curve along a second axis of curvature. Other models may be used to describe complex contours, including contours described by functions having discontinuities.
The foregoing description of the preferred embodiments shall not be considered to limit the invention, which is defined by the appended claims.
This application claims the benefit of priority of U.S. patent application Ser. No. 11/353,553, filed Feb. 13, 2006, and U.S. Provisional Application No. 60/652,485, filed Feb. 11, 2006, which are both incorporated by reference.
| Number | Name | Date | Kind |
|---|---|---|---|
| 3860057 | Garlick | Jan 1975 | A |
| 4315885 | Lemelson | Feb 1982 | A |
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