The field of the invention relates to interrogation by THz radiation for materials of interest enabled by principle components analysis.
The following summary is not intended to be a complete recitation or summary of all the claimed inventive content of this patent but rather as a helpful introduction to the description that follows.
The invention in one embodiment resides in an apparatus for detecting a material of a designated group in which a signature set of frequencies is constructed which is characteristic of the members of the group, that signature set being stored; a beam of terahertz radiation is directed at a subject which beam includes the signature set and the reflection of the beam is compared with the signature set. The beam may be pulsed. The pre-established group of materials comprises one or more explosives such as RDX, TNT, PETN and HMX.
In one embodiment the invention is a method of interrogating a subject for presence of any material that is a member of a designated group of materials and for distinguishing from other materials.
In another embodiment the invention resides in a method of determining whether or not a suspect material is a member of a designated group of materials which has been characterized by a signature frequency set of absorption spectra for which a PCA classification has been designated. This embodiment comprises the steps of exposing the suspect material to terahertz radiation comprising the signature set of frequencies; detecting reflected terahertz absorption spectra at the signature set of absorption spectral frequencies from the suspect material; carrying out a principle component analysis on the reflected spectra for constructing a PCA classification characterizing the suspect material and comparing the PCA classification characterizing the suspect material with the PCA classification characterizing the members of the designated group in a manner to determine whether or not there is a match therebetween.
In another embodiment the invention resides in a method for establishing criteria for determining whether a material is a member of a designated group of materials comprising; exposing each material considered for membership to the class to terahertz radiation; detecting reflected radiation from each prospective member; selecting frequencies in the reflected radiation at which two or more prospective members share an identifiable absorbance characteristic and carrying out a PCA classification fore the designated group of materials and storing the signature set.
In another embodiment the invention resides in an apparatus for detecting the presence of a material as belonging to a designated group of materials comprising a source of a beam of terahertz radiation comprising a set of frequencies having been previously determined to permit PCA classification data that is distinguishable from that of non-target materials in which the apparatus includes means for storing the PCA classification data; and means responsive to reflected terahertz radiation to determine PCA classification data for the suspect material and means for comparison of the PCA classification data of the suspect material with the previously stored PCA classification data of the target and determining a threat level based on analysis of the closeness of match of the PCA classification data of the suspect material to that of the target material.
In another embodiment the invention resides in a method of determining whether or not a suspect material is a member of a predefined class of members each characterized by a frequency signature set constructed by PCA at each of a plurality of frequencies at which members share an identifiable absorbance feature comprising exposing the suspect material to terahertz radiation comprising the plurality of frequencies; detecting reflected terahertz radiation from the suspect material; carrying out a PCA on the reflected radiation for determining PCA classification data for the suspect material and comparing the PCA classification data of the suspect material with the PCA classification data of the members of the predefined class in a manner to determine a threat level from the suspect material.
In another embodiment the invention resides in a method for establishing criteria for determining whether a material is a member of a designated group of materials comprising exposing each material of the designated group to terahertz radiation, detecting reflected radiation from each prospective member, selecting frequencies in the reflected radiation at which a plurality of members of the group share an identifiable absorbance characteristic, carrying out a PCA on the selected frequencies for obtaining PCA classification data for the class and storing the PCA classification data
a and 13b show plots representative of spectral data from explosives after processing using principles of principle component analysis as described in
The invention is based on the recognition that principle component analysis permits the determination of a THz signature frequency set for absorption spectra, which can be used to determine if a material that is interrogated by THz radiation belongs to a designated group of materials whose presence is of interest. The signature frequency set is a set of THz frequencies selected from absorption spectra from the materials that make up the designated group. The signature frequency set is determined by subjecting selected frequencies of the absorption spectra to PCA and varying the selected set until satisfactory PCA classification data is acquired. Satisfactory data is based on the closeness of z scores in selected coordinate axes such that the spectra for the members of the group are sufficiently close together such that other materials when interrogated with THz radiation will provide absorption spectra that when converted to PCA classification data can be differentiated from the PCA classification data for the designated materials. The differentiation is based on location in N-space of the materials of interest being sufficiently different from that of other materials. The term designated materials means a group of materials whose presence is under inquiry; it can also mean a condition of a group of materials where presence of the condition is under inquiry. In the first step the signature frequency set is determined by sequentially subjecting selected sets of frequencies from the absorption spectra of the designated group of materials and, using PCA, obtaining classification data until a set of frequencies is found that is satisfactory. In a related step, PCA classification is obtained for materials that are desired to be excluded from detection and the PCA classification for the designated group is sufficiently distant in N-space coordinates that detected absorption spectra for the designated group is distinguishable from the presence of the other group (the excluded group).
In a surveillance context any suspect material exposed to a beam of terahertz radiation comprising the signature frequency set exhibits a reflection spectrum from which the signature frequency set spectra (reflected spectra) are extracted. The reflected spectra are processed by principle component analysis to obtain classification data and that data is compared with the classification data for the signature frequency set. If a match occurs, the suspect material is determined to be a member of the designated group. A match is based on statistical analysis to determine some level of probability that a member of the designated group is present.
Explosives represent one such designated group established by a signature frequency set based on optical absorbance observed at as few as four or five frequencies. The following description refers to methods and apparatus for detection of hidden explosives in a context where the interrogating THz radiation will also cause absorption spectra from innocent materials, and the need is to be able to distinguish probable explosive materials from the innocent materials. The use of THz radiation allows sufficient standoff distance that interrogation or surveillance can be accomplished without closely approaching the suspected individual holding explosives or a suspected package with explosives.
The discovery that, through THz spectroscopy along with PCA, of absorption spectra, a set of signature frequencies could be identified that have PCA classification characteristics that are sufficiently different from the PCA classification data for common innocent materials was a key to the present invention.
A detailed discussion of the invention in the aspect of hidden explosive detection is contained in the attached document to the provisional application from which priority attaches, Attachment A, entitled Polychromic Imaging for Standoff Detection of Explosives and Weapons the content of which is incorporated by reference into this description. The method is to distinguish innocent materials from explosive materials by use of a predetermined THz signature set, to measure the relative intensities of the reflected signal from a subject under interrogation, the absorption spectrum at each of the frequencies; then to examine and treat the intensity data to PCA analysis to obtain PCA classification; and then to compare that result with the previously obtained PCA classification data for the explosives.
Absorption was measured using both transmission and diffuse reflection modes. The set-up for the THz-TDS system schematically shown in
Experimentally acquired absorbance spectra, obtained via transmittance without coverings, for the actual explosives TNT, HMX, RDX, and PETN, were analyzed to establish signature frequencies that can be used to identify absorbance spectra that originate from explosives. Frequencies were chosen over the range of 0.5 to 2.5 THz. This range corresponds to the region where common coverings and the atmosphere are most transparent to THz radiation. Table 1 lists the signature frequencies chosen from analysis of the experimentally acquired spectra. None of these frequencies coincide with the narrow water absorption bands observed in the atmosphere.
Absorbances at these five frequencies observed for the four explosives were used to create a training set for principal component analysis classification of all absorbance spectra. In this approach, the spectra containing many points over the frequency region of 0.5 to 2.5 THz were reduced to spectra containing only 5 points at the selected signature frequencies for classification purposes. Table 2 contains the data of the reduced spectra from the explosives used for training the classification scheme.
The data in Table 2 represent the coordinates of a unique point in 5-dimensional space for each of the listed compounds. In this form, the points representing the four explosive compounds do not fall near each other in the 5-dimensional space. To achieve classification of explosive versus non-explosive spectra, these data must be transformed so that new coordinates of the explosive compounds fall together in a newly defined N-dimensional space, while the coordinates from non-explosive compounds fall away from the cluster of explosive compounds.
Data transformation for classification was achieved by applying principal components analysis (PCA) to the reduced spectra for the four explosive compounds. The PCA classification procedure defines new coordinate axes (principal components) and new coordinates along the axes for each compound (z-scores) by a multivariate regression method that minimizes the variation of the coordinate values along the new coordinate axes. Essentially, a transformation matrix is created that converts the experimental coordinates of absorption versus frequency to the new coordinate system of z score versus principal component.
This procedure causes the new coordinates of the training set (the compounds used in the PCA calculations) to cluster within small volumes in N-space. This effect is most easily visualized when coordinates along three of the new coordinate axes (principal components that represent low variability) are plotted in three dimensions.
Table 3 contains the transformation matrix obtained by performing PCA on the training set data (from the four explosive compounds only).
The coefficients in the transformation matrix are the weighting factors used at each frequency to convert absorbance to z scores for every principal component.
When the training set absorbance data of Table 3 are transformed to principal components, the resulting z score versus principal component data can be visualized by plotting z score versus two or three of the principal components for the four explosive compounds. Such plots are shown in
To test to see if classification could be achieved using the principal components analysis performed on the training set, the trained transformation matrix in Table 3 was used to transform absorbance vs frequency data to z score vs principal component data for eight additional spectra, the four spectra of explosives covered with different materials (shown in
As designed, the z score points corresponding to the explosive spectra of the original training set all fall at the same location, as first shown in
This clustering of the points representing the explosive spectra demonstrates that classification between explosive compounds and non-explosive compounds can be achieved using THz spectroscopy and principal components analysis.
This classification was achieved by first reducing the experimental THz spectra to a plot of absorbance versus only five frequencies, thus preparing for very rapid signal analysis. The five frequencies were chosen from inspection of the spectra and could possibly be further optimized.
To determine if fewer signature frequencies could be used to properly classify explosive and non-explosive compounds, the same PCA classification protocol described above was repeated using only four of the original five signature frequencies listed in Table 1. Three different four-signature frequency classification training sets were generated by eliminating three different signature frequencies (1.62, 1.79 and 2.50 THz) from the data set shown in Table 2. The transformation matrices derived from these three data sets were then used to transform the test data into three different four dimensional principal component spaces. Scatterplots such as the one shown in
The first step, 102, is to collect terahertz absorption spectra for the compounds of interest (target materials) and for compounds to be excluded (non-target materials). It is understood, in the context of detection of explosives hidden on an individual or in a package, that certain common materials must be excluded from detection, these are the non-target materials (see attachment A). The target materials in this example are the explosives TNT, PETN, RDX, and HMX.
The next step, 104, was to select an initial set of training frequencies. The criteria for the initial set was to select a set that are strong absorption reflections for each of the four explosives, plus a fifth that is additively strong for more than one of them. Also the selected frequencies must exclude absorption spectra for atmospheric effects, namely water. As will be appreciated this step had to be repeated iteratively to obtain good and possibly optimum results.
The next step, 106 is to apply PCA to the selected target frequencies to obtain a set of N-space coordinates, which are stored at 108 in a storage medium 110. An analysis is made to determine if the N-space coordinates for the target set is sufficiently different from that of the excluded or non-target set. The goal is to find a set of frequencies in the absorption spectral range that includes spectra of all of the target materials, that after PCA provides N-space coordinates that are sufficiently different from that of the group of non-target materials, and also excludes reflection from the ambient environment, namely water such that a decision can be made that one of the explosives is or is not present.
Although it is possible that the initial frequency set will provide a useful result, it is expected that the initial frequency selected set will have to be varied in order to obtain a good result. The variation technique begins with varying a single frequency and re-running the PCA. The criteria for iterative selection of training sets is intuitive (from the perspective of a person learned in this technology) and learned based on prior results. In that repetition frequencies should be chosen so that there is significant but not necessarily maximum absorption, and for each selected signature frequency significant absorption should exist for at least two compounds. The frequencies must not correspond to water absorption lines.
The stored N-space coordinates are accessed at 112 and analyzed at 114 to determine whether compounds of interest cluster in a region in N-space separated from compounds of no interest. A decision is made at 116, whether or not the locations are sufficiently different. If not the process is repeated with a new selection of frequency set. If the decision is yes, then at 118 the PCA weighting factors and N-space coordinates for the compounds of interest are outputted to B.
When a set of target frequencies has been identified, the N-space coordinates and weighting factors for that set is stored to be used in field applications of the invention.
There are a number of alternative embodiments for transmitting the interrogating THz radiation and for processing the reflected signal. The interrogating THz beam may be continuous wave (cw), pulsed or modulated. All three types of THz beams made be stepped or scanned through specific signature frequencies. Both pulsed and modulated beams may be used to isolate the signal of interest from unwanted background signals.
In an alternate embodiment, the interrogating beam may also be broadband, i.e. contain a broad range of THz frequencies simultaneously. Broadband beams may be cw, pulsed, or modulated. In this embodiment, if a broadband interrogating beam is used, the reflected THz radiation must be detected at individual specific signature frequencies. Detection at specific frequencies may be achieved by placing narrow band filters in front of multiple detectors.
Passive detection of reflected THz radiation is also possible. In this case, reflections of ambient broadband THz radiation (from the sun or other sources) can be detected at multiple specific signature frequencies using filters and multiple detectors.
In a further implementation of the invention, it is considered that target (designated) materials may not be clustered in a single cluster of n-space coordinates, but might be clustered in a plurality of such clusters such as if the target materials are a large family of materials such as explosives or drugs. Therefore a more statistically significant distinction may be available between materials of interest and those of no interest if multiple clusters are available for materials of interest.
While the invention is described in terms of a specific embodiment, other embodiments could readily be adapted by one skilled in the art. Accordingly, the scope of the invention is limited only by the following claims.
The foregoing Detailed Description of exemplary and preferred embodiments is presented for purposes of illustration and disclosure in accordance with the requirements of the law. It is not intended to be exhaustive nor to limit the invention to the precise form(s) described, but only to enable others skilled in the art to understand how the invention may be suited for a particular use or implementation. The possibility of modifications and variations will be apparent to practitioners skilled in the art. No limitation is intended by the description of exemplary embodiments which may have included tolerances, feature dimensions, specific operating conditions, engineering specifications, or the like, and which may vary between implementations or with changes to the state of the art, and no limitation should be implied therefrom. This disclosure has been made with respect to the current state of the art, but also contemplates advancements and that adaptations in the future may take into consideration of those advancements, namely in accordance with the then current state of the art. It is intended that the scope of the invention be defined by the Claims as written and equivalents as applicable. Reference to a claim element in the singular is not intended to mean “one and only one” unless explicitly so stated. Moreover, no element, component, nor method or process step in this disclosure is intended to be dedicated to the public regardless of whether the element, component, or step is explicitly recited in the Claims. No claim element herein is to be construed under the provisions of 35 U.S.C. Sec. 112, sixth paragraph, unless the element is expressly recited using the phrase “means for . . . ” and no method or process step herein is to be construed under those provisions unless the step, or steps, are expressly recited using the phrase “step(s) for . . . ”
This application is a divisional of application Ser. No. 11/512,963 filed on Aug. 29, 2006 which claims priority from provisional application Ser. No. 60/712,213 filed on Aug. 29, 2005 the content of which is incorporated by reference herein.
This invention was made with government support under grant No. NBCHC050019, awarded by the U.S. Department of Homeland Security. The Government has certain rights in the invention.
Number | Date | Country | |
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60712213 | Aug 2005 | US |
Number | Date | Country | |
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Parent | 11512963 | Aug 2006 | US |
Child | 12624364 | US |