WO2016084011A1

WO2016084011A1 - Information bearing devices

Info

Publication number: WO2016084011A1
Application number: PCT/IB2015/059115
Authority: WO
Inventors: Tak Wai LAU; Wing Hong LAM
Original assignee: Lau Tak Wai; Lam Wing Hong
Priority date: 2014-11-25
Filing date: 2015-11-25
Publication date: 2016-06-02
Also published as: US20170262745A1; US10185907B2; EP3224766B1; EP3224766A4; CN107004150B; CN107004150A; EP3224766A1

Abstract

An information bearing device comprising a data bearing pattern, wherein the data bearing pattern comprises a plurality of data defining elements, the data defining elements being spatially distributed to define a set of spatial frequency data, and the set of spatial frequency data comprising a plurality of frequency data elements (F₁, F₂,…, F_n); and wherein each frequency data (F_i) has a data frequency magnitude (f_i) and a data frequency angle (θ_i), the data frequency magnitude being above a first characteristic spatial frequency (f_A) which corresponds to a characteristic frequency of a staple or commonplace image reproduction apparatus, the characteristic frequency representing an image data frequency above which reproduction quality by the staple or commonplace image reproduction apparatus begins to drop substantially.

Description

INFORMATION BEARING DEVICES

Field

[001 ] The present disclosure relates to information bearing devices, and more particularly to information bearing devices comprising copy detection means. This disclosure also relates to articles incorporating information bearing devices.

Background

[002] Information bearing devices comprising an information bearing pattern are widely used in authentication, identification, tracking, telecommunications, verification, and other applications. For example, information bearing devices such as watermarks or data embedded image patterns are frequently incorporated in documents such as identification documents, certificates, authorization permits; articles such as product tags and labels and valuable articles such as credit cards, currency notes and the like. When information bearing devices are so used, the information bearing patterns characteristic of such devices may be formed as a background image pattern, as a foreground image pattern or as a mixture of both.

[003] Information bearing patterns accompanying information bearing devices for authentication, identification, tracking, verification, and like applications often work with an image capture device and an image of the information bearing patterns so captured will then be utilized for their designed objectives.

[004] With the rapid advancement in image capture technologies and other pattern reproduction techniques, there is an increasing risk that information bearing devices are captured, copied and misused.

Disclosure

[005] There is disclosed an information bearing device comprising a data bearing pattern, wherein the data bearing pattern comprises a plurality of data defining elements, the data defining elements being spatially distributed to define a set of spatial frequency data, and the set of spatial frequency data comprising a plurality of frequency data elements {F₁, F₂, - , F_n) and wherein each frequency data (Fj) has a data frequency magnitude ( _έ) and a data frequency angle( ), the data frequency magnitude being above a first characteristic spatial frequency (f_A) which corresponds to a characteristic frequency of a staple or commonplace image reproduction apparatus, the characteristic frequency representing an image data frequency above which reproduction quality by the staple or commonplace image reproduction apparatus begins to drop substantially. [006] The data frequency magnitude^) of a frequency data (F_j) may be at or below a second characteristic spatial frequency (f_B), the second spatial frequency being higher than the first characteristic spatial frequency (f_A) and corresponding to a characteristic image capture frequency of a state-of-the-art image capture apparatus, such as a held-held smart phone having a high resolution image capture apparatus, the characteristic image capture frequency relating to maximum frequency content or maximum spatial resolution of an image that can be captured by the image capture apparatus.

[007] In example embodiments, the set of spatial frequency data comprises a first group of spatial frequency data and a second group of spatial frequency data, the first group of spatial frequency data comprising one or a plurality of spatial frequency data of a first frequency magnitude and the second group of spatial frequency data comprising one or a plurality of spatial frequency data of a second frequency magnitude higher than the first frequency magnitude, and wherein the second frequency magnitude is proximal or below the second characteristic spatial frequency (f_B).

[008] The set of spatial frequency data may comprise a plurality of spatial frequency data of same data frequency magnitude ( and different data frequency angles( θ ).

[009] The second spatial frequency^) may for example be at least 100%, 150%, 200%, 250%, 300%, 350%, 400%, 450%, 500%, 550%, 600%, 650% or 700% or higher and/or there-between than the first spatial frequency (F_A).

[0010] The first spatial frequency (f_A) may for example be at or above 150LPI, at or above 175LPI, at or below 200LPI and/or at or below 250LPI.

[001 1] The second spatial frequency (f_B) may for example be at or above 300LPI, at or above 400LPI, at or above 500LPI, at or above 600LPI, at or above 700LPI, at or above 800LPI, at or above 900LPI, and/or at or above 1000LPI, and/or there-between.

[0012] In some embodiments, the data defining elements are distributed such that there is at least one first frequency data element(F₁) having a first data frequency magnitude^) and one second frequency data element(F₂) having a second data frequency magnitude^), the second data frequency magnitude ( ₂) being higher than the first data frequency magnitude^).

[0013] In some embodiments, the second data frequency magnitude^) is higher than the first data frequency magnitude( ₁)at least by 50LPI, at least by 60LPI, at by 70LP, or by 100LPI and/or there-between.

[0014] The orthogonal separation of adjacent spatial frequency data from or with respect to a radial axis extending from frequency domain origin may be less than or no more than 15LPI, 20LPI, 30LPI, 40 LPI, 50LPI, 60LPI, 70LPI, 80LPI, 90 LPI, 100LPI, 1 10 LPI, 120LPI, 125LPI, or 130LPI and/or there-between.

[0015] The orthogonal separation of adjacent spatial frequency data from or respect to a radial axis extending from frequency domain origin may be higher than 15LPI, 20LPI, 30LPI, 40 LPI, 50LPI, 60LPI, 70LPI, 80LPI, 90 LPI, 100LPI and/or there-between.

[0016] The window width being orthogonal to an axis extending and passing through an origin of a pair of orthogonal frequency axes (u, v) .

[0017] The set of spatial frequency data elements may comprise a plurality of n frequency data ( _{l n}) having a first data frequency magnitude (f^ and different data frequency angles( e_{l i}), where i = 1, 2, 3, or n , and a plurality of n frequency data ( _{2 n}) having a second data frequency magnitude f₂) higher than the first data frequency magnitude (f_t) and different data frequency angles ( θ₂,ί), and wherein ( 0_1>έ) = ( 0₂,i)-

[0018] Adjacent spatial frequency data may be arranged such that the difference in angular orientation is adapted to facilitate detection when an image of the data bearing pattern is to be captured with a handheld device subject to hand tremor of a user.

[0019] There is also disclosed an authentication device comprising an information bearing device according to any preceding claim, wherein the data bearing pattern is encoded with the frequency data elements for use as authentication data.

[0020] An information bearing device having a plurality of data defining elements distributed at different frequency magnitudes is advantageous.

[0021] For example, by disposing the data defining elements such that there is or are spatial frequency data at higher frequencies would provide useful information on whether an information bearing device was copied by an image capturing apparatus having a characteristic frequency lower than the higher frequencies.

[0022] For example, by disposing the data defining elements such that there is or are spatial frequency data at lower frequencies would be useful to help recover information when an information bearing device is copied by an image capturing apparatus subject to hand tremor distortion.

[0023] By disposing the data defining elements such that there are spatial frequency data intermediate the lower and upper frequencies would assist detection of history of copying of information bearing device.

[0024] By disposing the data defining elements at a plurality of angular orientations would assist recovery of information when subject to hand tremor distortion. Figures

[0025] The disclosure will be described by way of example with reference to the accompanying Figures, in which:

Figure 1 shows an example information bearing device,

Figure 1 A shows an enlarged portion of a data bearing pattern of Figure 1 ,

Figure 1 B is a schematic view showing spatial frequency data embedded in the data bearing pattern of Figure 1 ,

Figure 1 D is an enlarged portion of the schematic view of Figure 1 B showing an imaginary radial axis and a plurality of spatial frequency data,

Figure 1 C is an enlarged portion of the schematic view of Figure 1 B showing application of a 'hand-tremor' window and a plurality of spatial frequency data,

Figure 2 shows an example information bearing device,

Figure 2A is a schematic view showing spatial frequency data embedded in the data bearing pattern of Figure 2,

Figure 3 shows an example information bearing device,

Figure 3A is a schematic view showing spatial frequency data embedded in the data bearing pattern of Figure 3, and

Figures 4A, 4B and 4C show various spatial frequency data arrangements. Description

[0026] An example information bearing device 100 depicted in Figure 1 comprises a data bearing pattern 120 and an alignment arrangement. The data bearing pattern is defined by data defining elements 122 which are distributed to define a plurality of spatial frequency data (F_{n m}) . A portion of the data bearing pattern contained in an identification window shown in dotted lines in Figure 1 is enlarged and shown in Figure 1A. For the avoidance of doubt, the dotted window is only for identification and is not present in an actual device. The data defining elements 122 are spatially distributed according to distribution rules to correspond to a plurality of spatial frequency data (F_{n m}) . In this example device, the data defining elements 122 are spatially distributed to correspond to a plurality of twenty eight spatial frequency data arranged into a plurality of four spatial frequency groups of spatial frequencies (fi' fi' ' fa)- As a convenient shorthand, a spatial frequency data (F_{n m}) has the same frequency magnitude as that of f_n. More specifically, there are four spatial frequency data of frequency f_t, six spatial frequency data of frequency f₂ , eight spatial frequency data of frequency f₃ and ten spatial frequency data of frequency f₄, where f_x is 151 LPI, f₂ is 193 LPI, f₃ is 241 LPI and f₄ is 292 LPI.

[0027] The spatial frequency data of the first frequency group f_x have the following coordinate values when represented using a set of orthogonal frequency domain axes (u, v);.

[0028] The spatial frequency data of the second frequency group f₂ have the following (u, v) coordinate values:

[0029] The spatial frequency data of the first frequency group f₃ have the following (u, v) coordinate values:

[0030] The spatial frequency data of the first frequency group f₄ , have the following (u, v) coordinate values:

[0031] In the example (u, v) coordinate system used herein, the u -axis represents corresponds to spatial repetition frequency of the data defining elements 122 in x -direction and the v-ax\s represents or corresponds to spatial repetition frequency of the data defining elements 122 in the y -direction. The spatial frequency unit is in lines-per-inch (LPI). The LPI system is widely used, if not prevailing, in the printing industry and is therefore used. For conversion with the metric system, 100LPI is equal to approximately 39.4 lines- per-cm.

[0032] The spatial frequency data (F_{n m}) are also representable as^ ^ ) in the circular or polar coordinate system, where f_t is the frequency magnitude of the spatial frequency data and θι is the anti-clockwise angular distance in degree (°) from the zero-angle reference axis which overlaps the u -axis.

[0033] The example information bearing device 100 of Figure 1 has a width of 0.39 inch (~1 cm) in the x-direction and a length of 0.39 inch (~1 cm) in the y-direction. There are 944 pixels in the x-direction and 944 pixels in the y-direction so that the information bearing device 100 has a total of 944x944 pixels.

[0034] The alignment arrangement comprises four alignment devices 124a, 124b, 124c, 124d, which are distributed at four corners of the information bearing device 100. Each alignment device comprise visually contrasting elements to assist alignment of the information bearing device 100 with an image capture apparatus to facilitate efficient and expedient capturing of an image of the information bearing device 100. The data defining elements 122 are distributed in the region delineated or contained by the four alignment devices 124a, 124b, 124c, 124d.

[0035] The data bearing pattern 120 comprises spatial frequency data of different frequency magnitudes, as depicted in Figure 1 B. Referring to Figure 1 B, a spatial frequency data which is further away from the origin has a frequency magnitude which is higher than the frequency magnitude of a spatial frequency data which is closer to the origin and a spatial frequency data which is closer to the origin has a frequency magnitude which is lower than the frequency magnitude of a spatial frequency data which is further away from the origin. For example, the spatial frequency data ( _4>5) has a frequency magnitude (292 LPI) of about 51 LPI higher than the frequency magnitude (241 LPI) of spatial frequency data ( _3>4) , the spatial frequency data ( _3>4) has a frequency magnitude (241 LPI) of about 48 LPI higher than the frequency magnitude (193 LPI) of spatial frequency data ( _2>3) , and the spatial frequency data ( _1>2) has a frequency magnitude (193 LPI) of about 42 LPI higher than the frequency magnitude (151 LPI) of spatial frequency data ( _1>2). The spatial frequency data (F_{4 5}) has a frequency magnitude of about 100 LPI higher than the frequency magnitude of spatial frequency data ( _2>3) and about 150 LPI higher than the frequency magnitude of spatial frequency data ( _1>2) . Likewise, spatial frequency data ( _3>4) has a frequency magnitude of about 100 LPI higher than the frequency magnitude of spatial frequency data(F_1>2).

[0036] The frequency magnitudes of the spatial frequency data (F_{n m}) are set or selected to be between frequency limits, f_A) and f_B), as depicted in Figure 2. In this example, f_A is 150 LPI and f_B is 300 LPI . The value of f_A is selected since this is a typical characteristic frequency of a staple or commonplace image reproduction apparatus such as a thermal printer. The characteristic frequency of a staple or commonplace image reproduction apparatus corresponds to an image content frequency at which the quality of reproduction by the staple or commonplace image reproduction apparatus begins to drop, and degradation is more noticeable if the image content frequency is substantially higher than the characteristic frequency.

[0037] It is noted that a spatial frequency data having a higher frequency may be more prone or more vulnerable to degradation due to copying than one having lower frequency. It is also noted that a spatial frequency data having a specific frequency may be more prone or more vulnerable to degradation due to copying than one having another frequency due to property of the copier. By setting the frequency magnitudes of the spatial frequency data (F_{n m}) at several discrete frequency magnitudes above (f_A) , degradation or differences in degradation can be utilised to detect copying and can be useful as an anti-counterfeiting measure. While 150 LPI is a typical characteristic frequency, the characteristic frequency may range from 100 LPI to 200 LPI and (f_A) may be set according to a target characteristic frequency without loss of generality.

[0038] In this example, a spatial frequency difference of approximately 50 LPI between adjacent frequency groups has been selected so that four frequency groups can be distributed quite evenly or at quite uniform spacing between a frequency range of about 150 LPI between two frequency limits, namely, (f_A) and (f_B). This spatial frequency difference has been found to provide useful information for detection of copying or reproduction. For applications, the frequency differences between adjacent frequency groups of spatial frequency data may be set to be higher or lower than 50 LPI , for example, about 20 LPI , 25 LPI , 30 LPI, 35 LPI , 40 LPI , 50LPI , 60LPI , 70LPI , 80LPI , 90LPI , 100 LPI or above, or any values there-between, depending on the range of frequency defined by the frequency limits (f_A) and (f_B) and/or the number of spatial frequency data to be devised in the data bearing pattern 120.

[0039] The upper frequency limit f_B)\s selected to be set at a characteristic frequency of a high-fidelity image capture device, such as a smart phone, so that an image of the data bearing pattern 120 can be captured for analyses. In order that the high-fidelity image capture device can detect copying by a staple or commonplace image reproduction apparatus, the characteristic frequency of the high-fidelity image capture device must be substantially higher than that of staple or commonplace image reproduction apparatus. For example, a state-of-the-art high-fidelity image capture device such as a smart phone or other handheld device has a characteristic frequency of between 300 LPI to 1000 LPI. For example, an iPhone™ 5S having 8 million pixels when taking an image of an information bearing pattern of dimensions 1 inch x 1 inch at a minimum focusing distance of 12 cm would produce an image of about 300LPI, a Samsung™ S4 smartphone having 13 million pixels when taking an image of an information bearing pattern of dimensions 1 inch x 1 inch at a minimum focusing distance of 5.5 cm would produce an image of about 1000LPI. The actual value of f_B may be selected accordingly and as appropriate without loss of generality. A staple or commonplace image capture device is also referred to as a 'low-fidelity' or 'lower fidelity' image capture device herein in contrast to a 'high-fidelity' or 'higher fidelity' image capture device having a characteristic frequency around or above f_B.

[0040] In the iPhone5S™ example, the example smart phone has a camera resolution of 3264*2448 = 8*10⁶ pixels and at a 12cm focus-distance it can capture an image of an object of size no larger than 5.35inch*4.06inch. As 2448/4.06 ~ 3264/5.35 ~ 600 pixels-per-inch and a visible line comprises at least a line of black pixels and an adjacent parallel line of white pixels. Therefore, this example smart phone can capture images at 600/2=300 LPI at a 12cm focus-distance.

[0041] In the Samsung™ S4 example, the example smart phone has a camera resolution of 4128*3096 = 13*10⁶ pixels and at a 5.5cm focus-distance it can capture an image of an object of size no larger than 2.17inch*1.61 inch. As 3096/1.61 ~ 4128/2.17 ~ 1910 pixels-per- inch and a visible line comprises at least a line of black pixels and an adjacent parallel line of white pixels. Therefore, this example smart phone can capture images at 1910/2*1000 LPI at a 5.5cm focus-distance.

[0042] In some embodiments, the data bearing pattern may include spatial frequency data corresponding to characteristic frequencies of a plurality of staple or commonplace image reproduction apparatus. For example, a common type of staple copier may have a first characteristic frequency of 150LPI and a common type of low-resolution thermal printer may have a second characteristic frequency 200LPI.

[0043] By setting the spatial frequency data such that there are first spatial frequency data at or about the first characteristic frequency, second spatial frequency data at or about the second characteristic frequency, third spatial frequency data having a frequency intermediate the first and second characteristic frequencies, and/or fourth spatial frequency data having a frequency above the second characteristic frequency, the spatial frequency data recovered from a copied image would provide useful information on what type of apparatus was used to copy the data bearing pattern. [0044] While a data bearing pattern 120 containing spatial frequency data (F_{n m}) components having a frequency above or higher than the characteristic frequency of a staple or commonplace image reproduction apparatus is useful for copying detection or for use as an anti-copying device, the higher frequency spatial frequency data components are more susceptible or prone to distortion when the information bearing device 100 is reproduced by a staple or commonplace image reproduction apparatus. Furthermore, the higher frequency spatial frequency data components are more susceptible or prone to distortion when the information bearing device 100 is captured by using a handheld image capturing apparatus under hand-tremor. Image distortion due to hand tremor typically appears as blurring, (i.e. motion blur), both in the captured image and in spatial frequency data of the captured image.

[0045] In devising a data bearing pattern according to the present disclosure, it would be beneficial to have at least one frequency group having an upper frequency f₄ which is close or proximal to the upper frequency limit (f_B) and at least one frequency group having a lower frequency f_t which is close or proximal to the lower frequency limit (f_A). The frequency difference or separation between the upper frequency group or upper frequency data (the "upper frequency group")and the lower frequency group or lower frequency data (the "lower frequency group") can be several hundred LPI or above a thousand LPI , for example, can be 100 LPI , 150 LPI , 200 LPI , 250 LPI, 350 LPI, 400 LPI , 500 LPI , 600 LPI , 700 LPI , 800 LPI , 900 LPI , etc. or above, or any values there-between, depending on the characteristic frequencies of the target image reproduction apparatus. In some embodiments, a frequency difference or separation of about 50 LPI between the upper frequency group (or upper frequency data) and the lower frequency group (or lower frequency data) has shown to produce useful and advantageous information and effect.

[0046] To mitigate adverse effects due to motion blurring, the spatial frequency data are devised or distributed such that there is at least one spatial frequency data within a 'hand- tremor' window. An example 'hand-tremor' window is set with reference to planar hand tremor motion of a user which occurs while taking an image by using a hand-held image capture device and by hand holding the hand-held device.

[0047] Assuming that there is a planar shift of a distance of AX due to planar hand-tremor while taking an image of an object of size X x X and the captured image has a total of M x M pixels, there would be a planar shift of AM pixels in the image such that— =— . In general, AX≤ 0.05cm for a normal user. A window which extends radially from and passes through origin (0, 0) of the (u, v) coordinate system, and having a width W in a direction transverse to the radial direction such that W = ^-j- is set, as depicted in Figure 1C. By distributing the spatial frequency data such that there is at least one complete spatial frequency data which is within boundary of a 'hand-tremor' window ("WindoW) irrespective or regardless of the angular orientation of the Window, at least one spatial frequency data can be recovered even if an image is taken with distortion caused by planar hand-tremor motion of a user. In an example where X x X = lcm x 1cm and M x M = 512 x 512 pixels, AX = 0.05cm , AM can be taken as approximately 20 pixels practically and an example window width is W «50 pixels, corresponding to 50 lines-per-cm or 127 LPI.

[0048] Where an example captured image has a total of M x N pixels respectively in the x- and y- directions, and AX represents a normal spatial shift in the x-direction during hand-held image capturing by a normal user, the amount of spatial shift in pixel terms AM of the pattern in a captured image and the amount of spatial shift in distance terms are related by the expression E ₌ L _anc| the window width W = -ii-L. Where shift is in the y-direction, the r M X ΔΜ+1 ³

expression is — =— and the window width W = -^— without loss of generality.

r N Y AN+l ^{a 3}

[0049] Referring to Figure 1 D, spatial frequency data (F_{2 5}) has an orthogonal separation or projection distance of c^fram a radial axis (r) extending from original of the (u, v) axes, and spatial frequency data ( _1>4) has an orthogonal separation or projection distance of d₂from the radial axis, where d_t, d₂ are in LPI. By having r such that c^ = d₂ = d and determining whether d is larger than (>) or smaller or equal to (≤)V /2, it can be determined whether there is at least one spatial frequency data that falls within the hand-tremor window. Specifically, there is at least one spatial frequency data that falls within the hand-tremor window if d is smaller or equal to y. The sum of d_t + d₂ is referred to herein as the "projective-sum" distance between spatial frequency data ( _2j5) and spatial frequency data ( _1j4) . Therefore, in devising spatial frequency data, it would be advantageous to distribute or dispose the spatial frequency data such that the "projective-sum" distance between some pairs of spatial frequency data is less than the window width W and for windows at all angular orientations. In this example, d₁ + d₂ has a projective sum of 46LPI. Other pairs of spatial frequency data can also have their angular orientation separation quantified in terms of their projective-sum distance. By having a least one or a plurality of pairs of spatial frequency data having a projective sum distance less than the window width W , at least one spatial frequency data can be recovered from a blurred image even though the captured image is planar-motion blurred due to hand-tremor of a normal user. The projective sum distances of pairs of spatial frequency data are set to correspond to the hand- tremor window which is set with reference to planar hand tremor motion amplitude of a normal user without loss of generality.

[0050] In devising a data bearing pattern, spatial frequency data are disposed and distributed on the(u, v)axes with the lower frequency limitC k) . upper frequency limit (f_B), frequency magnitude of the upper frequency group( ₄), frequency magnitude of the lower frequency group (/^"J, number of frequency groups between the upper and lower frequency groups, width (W) of the hand-tremor window, and/or overall number of spatial frequency data in consideration. After the number and disposition of the spatial frequency data have been determined, the spatial frequency data are converted into a data bearing pattern, for example by application of reverse Fourier Transform.

[0051] To analyse a data bearing pattern according to the present disclosure, an image of the data bearing pattern is captured. The captured pattern is then processed to extract the spatial frequency data from spatial domain information obtained from the captured image, for example, by Fourier transform, and the extracted spatial frequency data can be examined in the spatial frequency domain with reference to the (u, v) coordinate based on spatial repetition frequency.

[0052] An example information bearing device 200 depicted in Figure 2 comprises a data bearing pattern 220 and an alignment arrangement. The data bearing pattern 220 is defined by data defining elements which are distributed to define a plurality of spatial frequency data (F_{n rn}). The data defining elements are spatially disposed or distributed in a manner substantially identical to those of the information bearing device 100 and the description herein relating to the information bearing device 100 is incorporated herein mutatis mutandis. In this example device, the data defining elements are spatially distributed to correspond to a plurality of spatial frequency data arranged into a plurality of six spatial frequency groups of spatial frequencies (f₁, f2_> f3_> h_> fs_> fe)^aiS depicted in Figure 2A and as below: h h h h h

150 175 205 232 262 293

Δι 143

Δ₂ 30 30

Δ₃ 25 27 31

Table 5 [0053] In the above table 5, is the frequency difference between the upper ( ₆) and lower (f_t) frequency group, and Δ₂ and Δ₃ are the frequency differences between adjacent frequency groups (Ji,f₂>h>U> >f₆ . In the example of Figure 2A, the projective-sum distance between the circled spatial frequency data is equal to 14LPI.

[0054] An example information bearing device 300 depicted in Figure 3 comprises a data bearing pattern 320 and an alignment arrangement. The data bearing pattern 320 is defined by data defining elements which are distributed to define a plurality of spatial frequency data (F_{n m}). The data defining elements are spatially disposed or distributed in a manner substantially identical to those of the information bearing device 200 except that the spatial frequency data of the same frequency group are distributed with substantially uniform separation and the description herein relating to the information bearing device 200 is incorporated herein mutatis mutandis.

[0055] In this example device, the data defining elements are spatially distributed to correspond to a plurality of spatial frequency data arranged into a plurality of six spatial frequency groups of spatial frequencies {Jx.h.h.f^.U.fe)^ depicted in Figure 3A and as below:

[0056] In the above table 6, is the frequency difference between the upper ( ₆) and lower (f_t) frequency group, and Δ₂ and Δ₃ are the frequency differences between adjacent frequency groups (Ji,f₂>h>U> >f₆ . In the example of Figure 3A, the projective-sum distance between the circled spatial frequency data is within 127 LPI.

[0057] Referring to Figure 3A, the spatial frequency data of the same frequency group are evenly distributed such that the separation between adjacent spatial frequency data is substantially identical.

[0058] A plurality of spatial frequency data forming a spatial frequency group f_t of a data bearing pattern comprising a plurality of spatial frequency groups f_lr ...,f_n) is depicted in Figure 4A, in which f_t can be any one of (f_lr ...,f_n). In this example, the spatial frequency data are distributed such that the angular adjacent spatial frequency data of the same group is separated by a projective-sum distance less than the width of hand-tremor window. For example, the spatial frequency group /has a frequency magnitude of 150 LPI and d=127 LPI.

[0059] A plurality of spatial frequency data forming a spatial frequency group / of a data bearing pattern comprising a plurality of spatial frequency groups (f_lr ... , /_n) is depicted in Figure 4B, in which / can be any one of (f_lr ... , /_n). In this example, the spatial frequency data are distributed such that the angular adjacent spatial frequency data of the same group is separated by a projective-sum distance less than the width of hand-tremor window. For example, the spatial frequency group /has a frequency magnitude of 300 LPI and d=127 LPI.

[0060] A plurality of spatial frequency data forming two spatial frequency groups f_s , f_t of a data bearing pattern comprising a plurality of spatial frequency groups f_lr ...,f_n) is depicted in Figure 4c, in which f_s , /_tcan be any one of (f_lr ... , /_n) and f_s < f_t. Angularly adjacent pairs of spatial frequency data have d=127LPI.

[0061] While the disclosure has been described herein with reference to examples, the examples are not intended and should not be used to limit the scope of disclosure.

Claims

An information bearing device comprising a data bearing pattern, wherein the data bearing pattern comprises a plurality of data defining elements, the data defining elements being spatially distributed to define a set of spatial frequency data, and the set of spatial frequency data comprising a plurality of frequency data elements {F₁, F₂, - , F_n) and wherein each frequency data (F_j) has a data frequency magnitude ( fi) and a data frequency angle( ), the data frequency magnitude being above a first characteristic spatial frequency (f_A) which corresponds to a characteristic frequency of a staple or commonplace image reproduction apparatus, the characteristic frequency representing an image data frequency above which reproduction quality by the staple or commonplace image reproduction apparatus begins to drop substantially.

An information bearing device according to Claim 1 , wherein the data frequency magnitude( _έ) of a frequency data (F_j) is at or below a second characteristic spatial frequency (f_B), the second spatial frequency being higher than the first characteristic spatial frequency (f_A) and corresponding to a characteristic image capture frequency of a state-of-the-art image capture apparatus, such as a held-held smart phone having a high resolution image capture apparatus, the characteristic image capture frequency relating to maximum frequency content or maximum spatial resolution of an image that can be captured by the image capture apparatus . 3. An information bearing device according to Claims 1 or 2, wherein the set of spatial frequency data comprises a first group of spatial frequency data and a second group of spatial frequency data, the first group of spatial frequency data comprising one or a plurality of spatial frequency data of a first frequency magnitude and the second group of spatial frequency data comprising one or a plurality of spatial frequency data of a second frequency magnitude higher than the first frequency magnitude, and wherein the second frequency magnitude is proximal or below the second characteristic spatial frequency (f_B) .

An information bearing device according to Claim 3, wherein the first frequency magnitude is at, proximal or above the first characteristic spatial frequency^).

An information bearing device according to Claims 3 or 4, wherein the second frequency magnitude is higher than the first frequency magnitude by at least 40LPI, at least 50LPI , at least 60LPI , at least 70LPI , at least 80LPI, at least 90LPI , or at least 100 LPI .

6. An information bearing device according to Claims 3 or 4, wherein the second frequency magnitude is higher than the first frequency magnitude by at least 100 LPI, at least 150LPI, at least 200LPI, at least 250LPI, at least 300LPI, at least 350LPI, at least 400 LPI, at least 450LPI, at least 500LPI, at least 550 LPI, at least 600LPI, at least 700 LPI, at least 800 LPI, or more and/or there-between.

7. An information bearing device according to any of Claims 3, 4 or 6, wherein the set of spatial frequency data comprises a third group of spatial frequency data, the third group of spatial frequency data comprising one or a plurality of spatial frequency data of a third frequency magnitude, the third frequency magnitude being intermediate the first frequency magnitude and the second frequency magnitude.

8. An information bearing device according to Claim 7, wherein third frequency magnitude is lower than the second frequency magnitude by at least 20LPI, 25LPI, 30LPI, 35LPI, 40LPI, 45LPI, 50LPI, 60LPI, 70LPI, 80LPI, 90LPI, 100LPI, 125LPI, 150LPI, 200LPI, 250LPI or more and/or there-between. 9. An information bearing device according to Claims 7 or 8, wherein the third frequency magnitude is higher than the first frequency magnitude by at least 20LPI, 25LPI, 30LPI, 35LPI, 40LPI, 45LPI, 50LPI, 60LPI, 70LPI, 80LPI, 90LPI, 100LPI, 125LPI, 150LPI, 200LPI, 250LPI or more and/or there-between.

10. An information bearing device according to any of Claims 7 to 9, wherein the set of spatial frequency data comprises a fourth group of spatial frequency data, the fourth group of spatial frequency data comprising one or a plurality of spatial frequency data of a fourth frequency magnitude, the fourth frequency magnitude being intermediate the third frequency magnitude and the second frequency magnitude or being intermediate the third frequency magnitude and the first frequency magnitude. 1 1. An information bearing device according to Claim 10, wherein the fourth frequency magnitude is lower than or higher than the third frequency magnitude by at least 20LPI, 25LPI, 30LPI, 35LPI, 40LPI, 45LPI, 50LPI, 60LPI, 70LPI, 80LPI, 90LPI, 100LPI, 125LPI, 150LPI, 200LPI, 250LPI or more and/or there-between.

12. An information bearing device according to Claims 10 or 1 1 , wherein the fourth frequency magnitude is lower than the second frequency magnitude or higher than the first frequency magnitude at least 20LPI, 25LPI, 30LPI, 35LPI, 40LPI, 45LPI, 50LPI, 60LPI, 70LPI, 80LPI, 90LPI, 100LPI, 125LPI, 150LPI, 200LPI, 250LPI or more and/or there-between.

13. An information bearing device according to any preceding Claim, wherein the spatial frequency data elements comprises a plurality of spatial frequency data of same frequency magnitude ( _έ) and a plurality of different data frequency angles( ).

14. An information bearing device according to Claim 13, wherein the plurality of different data frequency angles( θ ) comprises more than 2, more than 3, more than 4, more than 5, more than 6, more than 7, more than 8, more than 9, or more than 10 different data frequency angles( ) and/or there-between.

15. An information bearing device according to Claims 13 or 14, wherein the plurality of spatial frequency data of same frequency magnitude ( /^";) and different data frequency angles( ^comprises spatial frequency data separated by more than 10°, more than

15°, more than 20°, more than 25°, or more than 30°and/or there-between.

16. An information bearing device according to any preceding Claims, wherein the data defining elements are distributed such that there is at least one frequency data element which is located within a hand-tremor window, the hand-tremor window being a frequency window which is set and/or determined with reference to typical hand tremor motion of a normal user when capturing an image of said data bearing pattern using a mobile or handheld image capturing device.

17. An information bearing device according to Claim 16, wherein the separation of frequency data elements is set and/or determined with reference to amplitude of likely or potential hand tremor motion of a user when capturing an image of said data bearing pattern using a mobile or handheld image capturing device.

18. An information bearing device according to Claims 16 or 17, wherein the separation of frequency data elements is of or less than 20LPI, 30LPI, 40LPI, 50LPI, 60LPI, 80LPI, 100LPI, 110LPI, 120LPI, less than 125LPI, or less than 130LPI, wherein the window width being orthogonal to an axis extending and passing through an origin of a pair of orthogonal frequency axes (u, v).

19. An information bearing device according to any preceding Claim, wherein pairs of spatial frequency data are arranged such that the difference in angular orientation separation is adapted to facilitate detection when an image of the data bearing pattern is to be captured with a handheld device subject to hand tremor of a user.

20. An authentication device comprising an information bearing device according to any preceding claim, wherein the data bearing pattern is encoded with the frequency data elements for use as authentication data.