CN116977150A - Watermark generation method, device, equipment and medium based on conservative hyperchaotic system - Google Patents

Watermark generation method, device, equipment and medium based on conservative hyperchaotic system Download PDF

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CN116977150A
CN116977150A CN202311235844.XA CN202311235844A CN116977150A CN 116977150 A CN116977150 A CN 116977150A CN 202311235844 A CN202311235844 A CN 202311235844A CN 116977150 A CN116977150 A CN 116977150A
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watermark
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CN116977150B (en
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赵中军
杜久龙
邓雷升
唐六华
何映伟
董亚鹏
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CETC 30 Research Institute
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Abstract

The application discloses a watermark generation method, device, equipment and medium based on a conservative hyperchaotic system. The application belongs to the technical field of information security, and can generate a watermark with good invisibility and simultaneously maintain good tamper detection positioning characteristics of the watermark.

Description

Watermark generation method, device, equipment and medium based on conservative hyperchaotic system
Technical Field
The application belongs to the technical field of information security, and particularly relates to a watermark generation method, device, equipment and medium based on a conservative hyperchaotic system.
Background
With the rapid development of multimedia technology, anyone can use software such as Photoshop or photo editor to modify digital media such as audio, video, and images at will, and leave no trace. In the current network age, it is necessary to authenticate digital media content.
As a branch of digital watermarking, fragile watermarking embeds watermark information into digital media files for integrity verification and local tamper detection purposes.
The existing fragile watermarking technology has the defects of insufficient complexity of nonlinear dynamics characteristic, insufficient imperceptibility and insufficient tamper detection precision.
Disclosure of Invention
The application aims to overcome the defects of the prior art and provide a watermark generation method, device, equipment and medium based on a conservative hyperchaotic system, which can increase the random characteristic of the watermark and improve the imperceptibility and tamper detection precision of the watermark.
The aim of the application is achieved by the following technical scheme:
the method is realized based on a five-dimensional conserved hyperchaotic system, and an equation of the five-dimensional conserved hyperchaotic system comprises:
wherein ,for state variables of the system->、/> and />Is a system parameter->Is aboutVariable->The form is as follows:
wherein ,m0 and m1 Is a preset constant;
the method comprises the following steps:
preprocessing an image to be watermarked into a plurality of image blocks required by generating a chaotic sequence;
each image block is represented by a binary sequence, and a chaotic sequence is generated according to the five-dimensional conserved hyperchaotic system;
reconstructing the chaotic sequence into a matrix with a preset size, and obtaining watermark information through transposition convolution calculation;
and splicing the generated watermark information with the image block to generate the image block containing the watermark.
Further, the preprocessing the image to be watermarked into a plurality of image blocks required for generating the chaotic sequence specifically includes:
filling the original image into integer times of the size of the image block;
generating a section of random chaotic sequence for filling the image by using the chaotic system, and carrying out a formulaProcessing to obtain an integer for filling the original image, so that the length and width of the filled image can be divided by r, wherein x is the value in the generated chaotic sequence S,>integer values obtained by rounding down the chaotic sequence S, wherein floor () represents rounding down;
dividing the filled image intoIs included in the image block of (a).
Further, the generating the chaotic sequence by representing each image block in a binary sequence according to the five-dimensional conserved hyperchaotic system specifically includes:
the saidRepresenting the image blocks of the image block with binary sequences consisting of 0 and 1, and splitting and extracting the binary sequences into binary numbers;
converting binary numbers into decimal numbers to serve as initial values and system parameters of the hyper-chaotic system;
obtaining a numerical solution for the chaotic system by using a fourth-order Dragon lattice tower method, and obtaining an iterated system state sequence;
a chaotic sequence is generated from the state sequence.
Further, the determining rules of the initial value and the system parameter of the hyper-chaotic system include:
wherein Dec represents converting binary numbers into decimal numbers, mod represents modulo arithmetic, deNum i Representing the i-th decimal number.
Further, the obtaining watermark information through transpose convolution calculation specifically includes:
generating a sparse matrix by the convolution kernel, and generating a watermark by using the sparse matrix, wherein a calculation formula comprises:
wherein the function isRepresents that the matrix X circularly shifts left (k-1)/2 bits, X is a sparse matrix,(k+1)/2 th column vector of matrix representing the preset size, watermark information of image block->Is a binary vector +.>,/>For watermark values k is an odd number from 1 to 15.
On the other hand, the application also provides a watermark generation device based on the conserved hyperchaotic system, which is realized based on the five-dimensional conserved hyperchaotic system, and the equation of the five-dimensional conserved hyperchaotic system comprises:
wherein ,for state variables of the system->、/> and />Is a system parameter->Is about the variable->The form is as follows:
wherein ,m0 and m1 Is a preset constant;
the device comprises:
the image processing module preprocesses an image to be generated with a watermark into a plurality of image blocks required by generating a chaotic sequence;
the chaotic sequence generation module is used for representing each image block by a binary sequence and generating a chaotic sequence according to the five-dimensional conserved hyperchaotic system;
the watermark calculation module is used for reconstructing the chaotic sequence into a matrix with a preset size, and obtaining watermark information through transposed convolution calculation;
and the watermark adding module is used for splicing the generated watermark information with the image block to generate the image block containing the watermark.
In another aspect, the present application further provides a computer device, where the computer device includes a processor and a memory, where the memory stores a computer program, and the computer program is loaded and executed by the processor to implement any one of the above-mentioned watermark generation methods based on the conservative hyperchaotic system.
In another aspect, the present application further provides a computer readable storage medium, where a computer program is stored, where the computer program is loaded and executed by a processor to implement any one of the above-mentioned watermark generation methods based on a conservative hyperchaotic system.
The application has the beneficial effects that:
(1) The application adopts the five-dimensional chaotic system to generate watermark information, and the chaotic sequence for generating the watermark has better random characteristic.
(2) According to the application, the watermark information associated with the picture is generated through the high-dimensional conservative chaotic system, and the initial value and the system parameter of the chaotic system are generated by utilizing the picture information, so that the watermark information is extremely sensitive to the change of the picture, and the imperceptibility and the tamper detection precision of the watermark are improved.
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Fig. 1 is a flowchart of a watermark generation method based on a conservative hyperchaotic system provided by an embodiment of the application;
FIG. 2 is a block diagram of a chaotic sequence generation process according to an embodiment of the present application;
FIG. 3 is a schematic diagram of a watermark generation flow in accordance with an embodiment of the present application;
FIG. 4 is a block diagram of a watermark extraction and tamper detection flow in accordance with an embodiment of the present application;
fig. 5 is a block diagram of a watermark generating device based on a conservative hyperchaotic system according to an embodiment of the application.
Detailed Description
Other advantages and effects of the present application will become apparent to those skilled in the art from the following disclosure, which describes the embodiments of the present application with reference to specific examples. The application may be practiced or carried out in other embodiments that depart from the specific details, and the details of the present description may be modified or varied from the spirit and scope of the present application. It should be noted that the following embodiments and features in the embodiments may be combined with each other without conflict.
All other embodiments, which can be made by those skilled in the art based on the embodiments of the application without making any inventive effort, are intended to be within the scope of the application.
The existing fragile watermarking technology has the defects of insufficient complexity of nonlinear dynamics characteristic, insufficient imperceptibility and insufficient tamper detection precision.
In order to solve the technical problems, the following embodiments of the watermark generation method, device, equipment and medium based on the conservative hyperchaotic system are provided.
Example 1
The watermark generation method provided in this embodiment is implemented based on a five-dimensional conservative hyperchaotic system, and specifically, the equation of the five-dimensional conservative hyperchaotic system adopted in this embodiment includes:
wherein ,for state variables of the system->、/> and />Is a system parameter->Is about the variable->The form is as follows:
in the present embodiment, m 0=3 and m1 =-0.2。
Referring to fig. 1, as shown in fig. 1, the method for generating a watermark based on a conservative hyperchaotic system according to this embodiment specifically includes the following steps:
step one: the image to be watermarked is preprocessed into a plurality of image blocks required for generating the chaotic sequence.
Specifically, the size of the original image is filled with an integer multiple of the block size r before the image is segmented. r is the size of the image block, and can be generally any integer; the larger the r value is, the smaller the probability of overlapping the water printing information in different image blocks is, and the lower the false alarm rate is. However, tampering of a certain pixel value in a pixel block may cause all pixels in the pixel block to be judged as tampered pixels, and the false alarm rate increases with the increase of r. Therefore, r=4 is adopted in this embodiment to balance the influence of the detection effect of the weight size algorithm.
The chaotic system is utilized to generate a chaotic sequence, and then the chaotic sequence is subjected to a formulaProcessing to obtain an integer for filling the original image so that the length and width of the filled image can be +.>And (5) integer division. The size of the filled image is +.>Divide it into->Is included in the image block of (a).
Step two: and representing each image block by a binary sequence, and generating a chaotic sequence according to the five-dimensional conserved hyperchaotic system. Referring to fig. 2, a flow chart of the chaotic sequence generating method according to the present embodiment is shown in fig. 2.
Specifically, each image block is provided0 and 1 of the bits>. The chaotic sequence is generated by the novel five-dimensional conserved hyperchaotic system, and the flow is shown in figure 2: first, will->Splitting and extracting bit binary sequence into 15 +.>A binary number of bits and converts it into a decimal number +.>Respectively used as an initial value and a system parameter of the hyper-chaotic system; then, a fourth-order Dragon-Gregory tower method is used for solving a numerical solution for the chaotic system, and an iterated system state sequence is obtained; finally, a 128-bit chaotic sequence is generated from the state sequence.
The initial value and the parameters of the five-dimensional conserved hyper-chaotic system are defined byThe 15 decimal numbers generated by the bit signature are determined as follows:
where Dec represents converting a binary number into a decimal number and mod represents modulo arithmetic. And (3) bringing the parameters into a differential equation set of the system to obtain the chaotic sequence.
Step three: reconstructing the chaotic sequence into a matrix with a preset size, and obtaining watermark information through transposition convolution calculation. Referring to fig. 3, a watermark generation flow diagram of the present embodiment is shown in fig. 3.
First reconstruct 128-bit sequence intoMatrix of->, wherein />Is a 16-dimensional column vector. When->When using +.>Sparse matrix of size->Generating watermark->The calculation formula of (2) is as follows:
wherein the function isRepresentation matrix->Circulation left shift->Bit, sparse matrix->By->Is generated by a convolution kernel of (a).
Step four: and splicing the generated watermark information with the image block to generate the image block containing the watermark.
Specifically, watermark information to be generatedGenerating a watermarked image block by stitching with the image block, wherein the pixel block is the firstAnd combining the pixels with the watermark to obtain the pixels containing the watermark.
In order to verify the generated watermark effect, the embodiment also provides a watermark extraction and tamper detection method, and the tampered area of the image block can be deduced through the change area of watermark information. Referring to fig. 4, a block diagram of the watermark extraction and tamper detection flow of the present embodiment is shown in fig. 4.
Step (1): for the image to be detectedExtracting 8 th bit of image pixel value as watermark information +.>And zero the lowest position of the image pixel value to obtain an image +.>. Wherein the watermark information and the size of the image are +.>
Step (2): chaotic sequence filling image generated according to hyper-chaotic systemObtain->Image +.> and />All can be->And (5) integer division.
Step (3): image is formedPerforming block treatment to divide into +.>Is->. Image block->Substitution of the high-dimensional conservative hyperchaotic system to generate +.>Chaotic random sequence->. According to chaos sequence->And sparse matrix->Watermark information corresponding to the image block can be calculated through the formula (5)>
Step (4): watermark information calculated for image to be detectedWatermark information generated by each image block +.>Composition is prepared. Then comparing the extracted watermark information>And calculated watermark information->The values of the two watermarks at the same position are compared. If the extracted watermark and the calculated watermark at a certain position in the image block are different, the whole pixel block is judged to be tampered, and if the extracted watermark and the calculated watermark are not different, the pixel block is judged to be not tampered.
In the embodiment, the five-dimensional chaotic system is adopted to generate watermark information, and the chaotic sequence for generating the watermark has better random characteristic. According to the embodiment, the watermark information associated with the picture is generated through the high-dimensional conservative chaotic system, and the initial value and the system parameter of the chaotic system are generated through the picture information, so that the watermark information is extremely sensitive to the change of the picture, and the imperceptibility and the tamper detection precision of the watermark are improved.
Example 2
Referring to fig. 5, shown in fig. 5 is a structural block diagram of a watermark generating device based on a conservative hyperchaotic system provided in this embodiment, where the device is implemented based on a five-dimensional conservative hyperchaotic system, and an equation of the five-dimensional conservative hyperchaotic system includes:
wherein ,for state variables of the system->、/> and />Is a system parameter->Is about the variable->The form is as follows:
wherein ,m0 and m1 Is a preset constant;
the device comprises:
the image processing module preprocesses an image to be generated with a watermark into a plurality of image blocks required by generating a chaotic sequence;
the chaotic sequence generation module is used for representing each image block by a binary sequence and generating a chaotic sequence according to a five-dimensional conserved hyperchaotic system;
the watermark calculation module reconstructs the chaotic sequence into a matrix with a preset size, and watermark information is obtained through transposed convolution calculation;
and the watermark adding module is used for splicing the generated watermark information with the image block to generate the image block containing the watermark.
Example 3
The preferred embodiment provides a computer device, which can implement the steps in any embodiment of the method for generating a watermark based on a conservative hyperchaotic system provided by the embodiment of the application, so that the beneficial effects of the method for generating a watermark based on a conservative hyperchaotic system provided by the embodiment of the application can be achieved, and detailed descriptions of the previous embodiments are omitted.
Example 4
Those of ordinary skill in the art will appreciate that all or a portion of the steps of the various methods of the above embodiments may be performed by instructions, or by instructions controlling associated hardware, which may be stored in a computer-readable storage medium and loaded and executed by a processor. To this end, an embodiment of the present application provides a storage medium having stored therein a plurality of instructions that can be loaded by a processor to perform the steps of any one of the embodiments of the method for generating a watermark based on a conservative hyperchaotic system provided by the embodiment of the present application.
Wherein the storage medium may include: read Only Memory (ROM), random access Memory (RAM, random Access Memory), magnetic or optical disk, and the like.
Because the instructions stored in the storage medium can execute the steps in any one of the embodiments of the method for generating a watermark based on a conservative hyperchaotic system provided by the embodiments of the present application, the beneficial effects that any one of the embodiments of the method for generating a watermark based on a conservative hyperchaotic system can achieve can be achieved, which are detailed in the previous embodiments and will not be described herein.
The foregoing description of the preferred embodiments of the application is not intended to be limiting, but rather is intended to cover all modifications, equivalents, and alternatives falling within the spirit and principles of the application.

Claims (8)

1. The watermark generation method based on the conserved hyperchaotic system is characterized by being realized based on a five-dimensional conserved hyperchaotic system, and an equation of the five-dimensional conserved hyperchaotic system comprises:
wherein ,for state variables of the system->、/> and />Is a system parameter->Is about the variable->The form is as follows:
wherein ,m0 and m1 Is a preset constant;
the method comprises the following steps:
preprocessing an image to be watermarked into a plurality of image blocks required by generating a chaotic sequence;
each image block is represented by a binary sequence, and a chaotic sequence is generated according to the five-dimensional conserved hyperchaotic system;
reconstructing the chaotic sequence into a matrix with a preset size, and obtaining watermark information through transposition convolution calculation;
and splicing the generated watermark information with the image block to generate the image block containing the watermark.
2. The method for generating a watermark based on a conservative hyperchaotic system according to claim 1, wherein preprocessing the image to be watermarked into a plurality of image blocks required for generating a chaotic sequence specifically comprises:
filling the original image into integer times of the size of the image block;
generating a section of random chaotic sequence for filling the image by using the chaotic system, and carrying out a formulaProcessing to obtain an integer for filling the original image, so that the length and width of the filled image can be divided by r, wherein x is the value in the generated chaotic sequence S,>integer values obtained by rounding down the chaotic sequence S, wherein floor () represents rounding down;
dividing the filled image intoIs included in the image block of (a).
3. The method for generating a watermark based on a conservative hyperchaotic system according to claim 2, wherein said representing each image block in a binary sequence and generating a chaotic sequence according to the five-dimensional conservative hyperchaotic system specifically comprises:
the saidRepresenting the image blocks of the image block with binary sequences consisting of 0 and 1, and splitting and extracting the binary sequences into binary numbers;
converting binary numbers into decimal numbers to serve as initial values and system parameters of the hyper-chaotic system;
obtaining a numerical solution for the chaotic system by using a fourth-order Dragon lattice tower method, and obtaining an iterated system state sequence;
a chaotic sequence is generated from the state sequence.
4. The method for generating a watermark based on a conservative hyperchaotic system according to claim 3, wherein the determination rules of the initial values and system parameters of the hyperchaotic system comprise:
wherein Dec represents converting binary numbers into decimal numbers, mod represents modulo arithmetic, deNum i Representing the i-th decimal number.
5. The method for generating a watermark based on a conservative hyperchaotic system according to claim 4, wherein said obtaining watermark information by transposed convolution calculation comprises:
generating a sparse matrix by the convolution kernel, and generating a watermark by using the sparse matrix, wherein a calculation formula comprises:
wherein the function isX is a sparse matrix and is circularly shifted left by (k-1)/2 bits>(k+1)/2 th column vector of matrix representing the preset size, watermark information of image block->Is a binary vector,/>For watermark values k is an odd number from 1 to 15.
6. The watermark generation device based on the conserved hyperchaotic system is characterized in that the device is realized based on a five-dimensional conserved hyperchaotic system, and an equation of the five-dimensional conserved hyperchaotic system comprises:
wherein ,for state variables of the system->、/> and />Is a system parameter->Is about the variable->The form is as follows:
wherein ,m0 and m1 Is a preset constant;
the device comprises:
the image processing module preprocesses an image to be generated with a watermark into a plurality of image blocks required by generating a chaotic sequence;
the chaotic sequence generation module is used for representing each image block by a binary sequence and generating a chaotic sequence according to the five-dimensional conserved hyperchaotic system;
the watermark calculation module is used for reconstructing the chaotic sequence into a matrix with a preset size, and obtaining watermark information through transposed convolution calculation;
and the watermark adding module is used for splicing the generated watermark information with the image block to generate the image block containing the watermark.
7. A computer device comprising a processor and a memory, wherein the memory has stored therein a computer program that is loaded and executed by the processor to implement the method of generating a watermark based on a conservative hyperchaotic system according to any of claims 1-5.
8. A computer readable storage medium, wherein a computer program is stored in the storage medium, the computer program being loaded and executed by a processor to implement the method for generating a watermark based on a conservative hyperchaotic system according to any of claims 1-5.
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