CA2304041C - Method for image processing to facilitate copy protection - Google Patents

Abstract

A method for mapping a work (e.g., a picture, a document or the like) comprising a large number of bytes into a relatively small bit string to facilitate copy protection. The technique creates a first string from the work with the property that if one modifies the work by some given degree (e.g., through intentional variation or perhaps merely through aging), a second string (generated by the inventive technique) and associated with the modified work is not meaningfully distinct from the first string. When applied through the algorithm, works that are similar result in the same or similar strings. As a result, an owner of the content sought to be protected may apply the algorithm to copies of the work for copy protecti on purposes.

Description

METHOD FOR IMAGE PROCESSING TO FACILITATE COPY PROTECTION
BACKGROUND OF THE INVENTION
Technical Field The present invention relates generally to securing content against wrongful duplication and, more particularly, techniques for processing an image into a digital string so that images with similar features (e.g., illicit or cropped copies) get mapped into a digital string that is close to the original string.
Description of the Related Art The proliferation of digitized media and the ease with which digital files can be copied especially over public computer networks (e.g., the Internet) has created a need for copy and copyright enforcement schemes. Conventional cryptographic systems permit only valid keyholders access to encrypted data, but once such data is decrypted there is no way to track its reproduction or retransmission. Such schemes thus provide insufficient protection against unauthorized reproduction of information. It is known in the prior art to provide a so-called digital "watermark" on a document to address this problem. A "watermark" is a visible or preferably invisible identification code that is permanently embedded in the data and thus remains present within the data after any decryption process. One example of a digital watermark would be a visible "seal" placed over an image to identify the copyright owner.
However, the watermark might also contain additional information, including the identity of the purchaser of a particular copy of the material.
Many schemes have been proposed for watermarking digital data. In a known watermarking procedure, each copy of a document D is varied slightly so as to look the same to the user but also so as to include the identity of the purchaser. The watermark consists of the variations that are unique to each copy. The idea behind such schemes is that the watermark should be hard to remove without destroying the document. Thus, a copy of a watermarked document should be traceable back to the specific version of the original from which it was created. Although certain watermarking techniques provide advantages, there remains a need for a more general approach to the problems associated with content protection.
SUMMARY OF THE INVENTION
It is a primary object of the present invention to provide an improved method for securing content against wrongful duplication.
SUBST1TUZ'E SHEET (RULE 26) It is still another object of this invention to provide improved methods for processing an image (or other work) into a digital string so that images with similar features (e.g., illicit or cropped copies) get mapped into a digital string that is close to the original digital string.
It is another more general object of this invention to protect against the wrongful proliferation of digitized media over public computer networks (e.g., the Internet).
A still further object of this invention is to provide for more efficient and reliable copy and copyright enforcement schemes.
In accordance with one aspect of the present invention there is provided a method for mapping a document comprising a large number of bytes into a bit string b_1, ..., b m to facilitate copy protection of the document, comprising the steps of:
generating m x n N(0,1) random variables Z_(1,1), ..., Z_(m,n) and storing the random variables in an m x n matrix Z*;
processing the document into a digital string y_1, ..., y_n; normalizing the y i values to generate a vector y*; computing a matrix-vector product v* = Z*xy*, where v_1, ..., v m denote the values of v*; selecting first and second thresholds t' and t" where t' is selected so that the probability that y_1 x u_1 + ... + y m x a m < t' is close to about'/a when each a i is an independent N(0,1 ) random variable, and where t" is selected so that the probability that y_1 x u_1 + ... + y m x a m > t" is close to about'/e; and determining if v i < t' or if v i > t"
for each v i from v_1 to v m; and if v_i is less than t' or if v i is greater than t", then set b i = 0; if v i is not less than t' or if v i is not greater than t", set b i = l; wherein the value of i in b i corresponds to the value of i in v_i.
The above as well as additional objects, features, and advantages of the present invention will become apparent in the following detailed written description.
BRIEF DESCRIPTION OF THE DRAWING
The novel features believed characteristic of the invention are set forth in the appended claims. The invention itself however, as well as a preferred mode of use, further objects and advantages thereof, are best understood by reference to the following Detailed Description of an illustrative embodiment when read in conjunction with the accompanying Drawing, therein:
Figure 1 is a flowchart of the inventive method.

2a DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT
The present invention is preferably implemented in software (e.g., a series of program instructions) executed in a computer. It is assumed that the content to be protected is a picture or other image. The invention may be applied to any content (including, without limitation, video, graphics, sound, text, etc.) irrespective of its form, however. For purposes of illustration, the invention will be described in the context of a picture. The picture is digitized in any convenient manner.
According to the invention, once digitized, the picture is run through a hashing algorithm and reduced to approximately thirty (30) bits so that most any other picture that was a small modification of the original gets mapped to the same string (with maybe a couple of bits different). This is useful in watermarking since this string, then, could be used as part of x 1, .. ., x n when one uses H(x-1 ... x n~Do not copy) as an offset watermark.
When this approach is followed, the watermark used for different pictures is different (which makes it harder for the adversary to remove), but it is still possible for someone who knows H to regenerate the watermark. In particular, the watermark used for different pictures is different (which makes it harder for the adversary to remove) but it is still possible for someone who knows H to regenerate the watermark for a correlation test (without access to a database), since even if the adversary changes the picture a little, he cannot change the string x_1, ..., x n very much; so, it is possible to later regenerate the original x I, ..., x n by computing the derived values from the picture and trying all possibilities that are within a few bits.
Such a mapping function is also useful in Web search engines. For example, assume one wants to search for copies of a document/picture on the Web even if such copies are changed a little bit. One could use the present invention and compute the string for every candidate picture on the Web and see which ones were close to the string for the original. From this information, one could check the candidates that match by eye, thereby cutting the search space by a huge factor.
There may also be applications in the domain of organizing pictorial data into similarity classes, which could be done according to the digital string produced by the following algorithm.
Implementation With reference now to the flowchart of Figure 1, the inventive mapping scheme has a number of steps.
Step 1: generate m x n N(0,1 ) random variables Z_( I,1 ), ..., Z (m,n). Store these values in an m x n matrix Z*. These values will be used for all documents and will be kept secret.
This may be done in an off line process.
Step 2: convert the document into a digital string y I, ..., y n using any standard method.
If possible, normalize the y_i values so that over the universe of all documents, y i can be thought of as a N(0,1 ) random variable. (The latter step is not required, but it makes the process work better.) Treat the n values as a vector y*.
Step 3: compute the matrix-vector product v* = Z*xy*. Let v I, ..., v m denote the values of v*. Note that each v i can be thought of as a normal random variable, no matter what the y values are. For example, the mean of each v i is M = (y 1 + ... + y m)/m.
Step 4: compute two thresholds t' and t" as follows. Select t' so that the probability that y I x a 1 + ... + y m x a m <t' is close to about 1 /4 when each a i is an independent N(0,1 ) random variable. Select t" so that the probability that y 1 x a 1 + ... + y m x a m > t" is close to about 1/4. There are many possible variations of this step, e.g., one with just one threshold at the value t =M, or by adjusting the two threshold values.
Step 5: For each of i, if v i <t' or if v i >t", then set b i = 0. Otherwise, set b i = 1.
(Note that each b i will be equally likely to be 0 or l.) The values b_1, ..., b m form the desired bit string for the document.
SUBSZ1TIJTE SHEET (RULE 26) The mapping function reduces the content (to be protected) from a large number of bytes to a string having a small number of bits. Changing just a few values of y* (or all of the values of y* by a little bit), however, does not have a meaningful effect on the values of b* that are computed. For example, in order to change the value of brj, the adversary must change enough of the y_i's by enough so that the corresponding vrj is pushed across a threshold.
Without knowing the Z* values, this is hard for the adversary to do if he is restricted to making small changes in the y_i's (since most of the vrj's are not likely to be very near a threshold in the first place). In fact, it is well supported in the art that the amount by which the adversary is required to change the y i's to effect a significant change in the b_j's is the maximum possible for any scheme.
Thus, the mapping function (when applied to copies of the document) is quite useful for copy protection purposes. Generalizing, the technique described above creates a first string from a picture (or other work) with the property that if one modifies the picture by some given degree (e.g., through intentional variation or perhaps merely through aging), a second string I S (generated by the inventive technique) and associated with the modified picture is not meaningfully distinct from the first string. The invention can be used to reduce a picture (or other work) comprising a large number of bytes into a string having a small number of bits, and thus pictures that are similar result in the same or similar strings. As a result, an owner of the content sought to be protected may apply the algorithm to copies of the work for copy protection purposes.
As described above, aspects of the present invention pertain to specific "method steps"
implementable on one or more computers. In an alternate embodiment, the invention may be implemented as a computer program product for use with a computer system.
Those skilled in the art should readily appreciate that programs defining the functions of the present invention can be delivered to a computer in many forms, which include, but are not limited to: (a) information permanently stored on non-writable storage media (e.g. read only memory devices with a computer such as ROM or optical disks readable by CD-ROM drive); (b) information alterably stored or writable storage media (e.g., floppy disks within a diskette drive or a hard disk drive); or (c) information conveyed to a computer through communication media, such as through a computer or telephone or other network. It should be understood, therefore, that such media, when carrying computer readable instructions that direct the method functions of the present invention, represent alternate embodiments of the present invention.

In addition, although the various methods described are conveniently implemented in a general purpose computer selectively activated or reconfigured by software, one of ordinary skill in the art would also recognize that such methods may be carned out in hardware, in fnmware, or in more specialized apparatus (e.g., a secure chip) constructed to perform the required method steps.
While the invention has been particularly shown and described with reference to a preferred embodiment, it will be understood by those skilled in the art that various changes in form and detail may be made therein without departing from the spirit and scope of the invention.
SUBSTITUTE SHEET (RULE 26)

Claims

1. A method for mapping a document comprising a large number of bytes into a bit string b_1, ..., b_m to facilitate copy protection of the document, comprising the steps of:
generating m x n N(0,1 ) random variables Z_(1,1), ..., Z_(m,n) and storing the random variables in an m x n matrix Z*;
processing the document into a digital string y_1, ..., y_n;
normalizing the y_i values to generate a vector y*;
computing a matrix-vector product v* = Z*xy*, where v_1, ..., v_m denote the values of v*;
selecting first and second thresholds t' and t" where t' is selected so that the probability that y_1 x u_1 + ... + y_m x u_m < t' is close to about 1/4 when each u_i is an independent N(0,1) random variable, and where t" is selected so that the probability that y_1 x u_1 + ... +
y_m x a_m > t" is close to about 1/4; and determining if v_i < t' or if v_i > t" for each v_i from v_1 to v_m; and if v_i is less than t' or if v_i is greater than t", then set b_i = 0;
if v_i is not less than t' or if v_i is not greater than t", set b_i = 1;
wherein the value of i in b_i corresponds to the value of i in v_i.