CN109635580B - Image encryption method and device, electronic equipment and computer storage medium - Google Patents
Image encryption method and device, electronic equipment and computer storage medium Download PDFInfo
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Abstract
The embodiment of the invention discloses an image encryption method, an image encryption device, electronic equipment and a computer readable storage medium. The method comprises the following steps: the method comprises the steps of obtaining a generating matrix and a fractional order matrix, wherein the generating matrix and the fractional order matrix are two-dimensional matrixes, and taking the generating matrix and the fractional order matrix as parameters of a random fractional order discrete cosine transform kernel matrix corresponding to a plaintext image to be encrypted so as to perform random fractional order discrete cosine transform encryption operation on the plaintext image and generate a first encryption result of the plaintext image corresponding to the random fractional order discrete cosine transform encryption operation. The security and the efficiency of image encryption are improved.
Description
Technical Field
The present invention relates to the field of image processing and information security technologies, and in particular, to an image encryption method and apparatus, an electronic device, and a computer-readable storage medium.
Background
With the advent of the internet era, people are increasingly faced with information security issues while enjoying the convenience of mass media and network technologies. The image, as a typical information carrier, may carry private data or commercial secrets and therefore needs to be properly protected during transmission and storage.
Today, numerous image encryption schemes are in force. Common image encryption methods include an image encryption method based on chaotic mapping, an image encryption method based on random fractional order discrete cosine transform and the like. However, there is a certain drawback in safety.
Such as: aiming at the image encryption method based on chaotic mapping, as the single scrambling can not change the statistical characteristics of a plaintext image, the method is easy to be attacked based on a histogram and information entropy analysis; if scrambling and diffusion are combined, the encryption speed is relatively slow and often requires multiple loop iterations. In addition, some chaotic mappings including Arnold mappings have periodic regularity, so that brute force cracking is possible. Aiming at the image encryption method based on random fractional order discrete cosine transform, because the generation sequence and the fractional order sequence are both one-dimensional sequences, the encryption of two-dimensional images has limitation, the chaos of the algorithm is low, and in addition, the method is not enough to resist the attack based on the plain text and the differential attack.
Disclosure of Invention
The embodiment of the invention provides an image encryption method, an image encryption device, electronic equipment and a computer readable storage medium, solves the technical problem that the existing image encryption method is low in safety, and improves the safety and the high efficiency of image encryption.
In a first aspect, an embodiment of the present invention provides an image encryption method, where the method includes:
acquiring a generator matrix and a fractional order matrix, wherein the generator matrix and the fractional order matrix are two-dimensional matrixes;
taking the generated matrix and the fractional order matrix as parameters of a random fractional order discrete cosine transform kernel matrix corresponding to a plaintext image to be encrypted so as to perform random fractional order discrete cosine transform encryption operation on the plaintext image;
and generating a first encryption result of the plaintext image corresponding to the random fractional order discrete cosine transform encryption operation.
In a second aspect, an embodiment of the present invention further provides an image encryption apparatus, where the apparatus includes:
the device comprises a matrix generation module, a fractional order generation module and a fractional order generation module, wherein the matrix generation module is used for acquiring a generation matrix and a fractional order matrix, and the generation matrix and the fractional order matrix are two-dimensional matrixes;
the first encryption module is used for taking the generating matrix and the fractional order matrix as parameters of a random fractional order discrete cosine transform kernel matrix corresponding to a plaintext image to be encrypted so as to carry out random fractional order discrete cosine transform encryption operation on the plaintext image;
and the first encryption result generation module is used for generating a first encryption result of the plaintext image corresponding to the random fractional discrete cosine transform encryption operation.
In a third aspect, an embodiment of the present invention further provides a computer-readable storage medium, on which a computer program is stored, where the computer program, when executed by a processor, implements the image encryption method provided in the embodiment of the present invention.
In a fourth aspect, an embodiment of the present invention further provides an electronic device, which includes a memory, a processor, and a computer program stored on the memory and executable by the processor, where the processor executes the computer program to implement the image encryption method according to the embodiment of the present invention.
In the embodiment of the invention, a generation matrix and a fractional order matrix are obtained, wherein the generation matrix and the fractional order matrix are two-dimensional matrixes, and the generation matrix and the fractional order matrix are used as parameters of a random fractional order discrete cosine transform kernel matrix corresponding to a plaintext image to be encrypted so as to perform random fractional order discrete cosine transform encryption operation on the plaintext image and generate a first encryption result of the plaintext image corresponding to the random fractional order discrete cosine transform encryption operation. The security and the efficiency of image encryption are improved.
Drawings
Fig. 1 is a schematic flowchart of an image encryption method according to an embodiment of the present invention;
FIG. 2 is a flow chart of an encryption/decryption process provided by an embodiment of the invention;
FIG. 3 is a flow chart of another image encryption method provided by the embodiment of the invention;
FIG. 4 is a flow chart of another image encryption method provided by the embodiment of the invention;
fig. 5 is a schematic diagram of a sample picture of an encryption-decryption process according to an embodiment of the present invention;
fig. 6 is a schematic structural diagram of an image encryption apparatus according to an embodiment of the present invention;
fig. 7 is a schematic structural diagram of an electronic device according to an embodiment of the present invention.
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings and examples. It is to be understood that the specific embodiments described herein are merely illustrative of the invention and are not limiting of the invention. It should be further noted that, for the convenience of description, only some of the structures related to the present invention are shown in the drawings, not all of the structures.
Fig. 1 is a schematic flowchart of an image encryption method according to an embodiment of the present invention, where the method may be executed by an electronic device according to an embodiment of the present invention, and the electronic device may be implemented in a software and/or hardware manner, and the method specifically includes the following steps:
the generation method of the generator matrix and the fractional order matrix is as follows:
s1: acquiring a preset key parameter and a disturbance parameter of the plaintext image, wherein the disturbance parameter is calculated by the plaintext image and a preset formula, and the preset key parameter comprises a first preset key parameter and a second preset key parameter;
in this embodiment, the preset key parameter is x0′、y0′、z0', μ', upsilon ', γ'. Further, x is0′、y0', mu' as a first preset key parameter, z0', v ', and gamma ' as second preset key parameters. The method adopts the disturbance parameters related to the plaintext image to enhance the nonlinearity of the encryption system so as to resist the attack and the differential attack based on the plaintext, and the preset formula for calculating the disturbance parameters delta of the plaintext image I is as follows:
wherein the content of the first and second substances,
to be well knownThe mean value of the text image(s),
is a lower integer function.
Furthermore, the invention presets a key parameter x0′、y0′、z0Accuracy of 'mu', upsilon 'and gamma' are all 10-15Thus, the key space is 1090>>2298The key space is large enough to resist brute force. If a key parameter deviates 10-15And decrypting the image under the condition that other key parameters are not changed, wherein the decrypted image does not expose any information of the plaintext image. The key of the invention is thus proven to be sufficiently sensitive.
S2: obtaining a first encryption parameter of the plaintext image according to the first preset key parameter and the disturbance parameter;
in this embodiment, the parameters related to the plaintext image are obtained according to the preset key parameter and the disturbance parameter δ of the plaintext image, and a specific calculation formula is as follows:
wherein x is0、y0Mu is a first encryption parameter, z0And upsilon and gamma are second encryption parameters.
S3: and obtaining the generator matrix and the fractional order matrix according to the first encryption parameter and a preset two-dimensional adjustment logistic sine mapping function.
In this embodiment, a two-dimensional adjusted Logistic-adjusted sine map (2D Logistic-adjusted sine map) function is preset as follows:
wherein, mu ═ mu' + delta ∈ [0.44,0.93 ∈]To control the parameter, x0＝x0′+δ∈(0,1)，y0＝y0' + δ ∈ (0,1) is an initial value. For theThe generation method of the N × N plaintext image, the generation matrix and the fractional order matrix is as follows:
1. iteration (1) formula K1+N2-1 time, K before discarding1The term is used to increase the chaos degree to obtain the sequence
Wherein, K1Used as a key, is a known value in an encryption operation.
2. The first N of the sequence x2The/2 terms are rearranged into a fractional order matrix A of NxN/2, then N2The/2 terms are uniformly mapped to integers 0,1, 2, 3, and rearranged into a generator matrix P of NxN/2.
3. The fractional order matrix B and the generator matrix Q of N/2 XN are derived in a similar manner from the sequence y.
this step may include two substeps as follows:
s4: generating an intermediate image according to the row elements of the plaintext image and the corresponding row elements of the random fractional order discrete cosine transform kernel matrix;
s5: and carrying out random fractional order discrete cosine transform encryption operation on the plaintext image according to the column elements of the intermediate image and the corresponding column elements of the random fractional order discrete cosine transform kernel matrix.
The corresponding principles of the above S4 and S5 are as follows:
after obtaining the fractional order matrices a and B and generating the matrices P and Q, for the plaintext image I, if G represents an intermediate image, then performing a random fractional order discrete cosine transform encryption operation on the plaintext image may be described as:
correspondingly, the inverse operation can be described as:
where i denotes the ith row and j denotes the jth column.
It should be noted that, for simplifying the operation, N is an integer multiple of 4 corresponding to the N × N plaintext image I, and the random fractional order discrete cosine transform kernel matrix corresponding to the ith row of the plaintext image I is taken
Can be expressed as:
random fractional order discrete cosine transform kernel matrix corresponding to j row of plaintext image
Can be expressed as:
wherein the content of the first and second substances,
is a unitary matrix of unThe nth eigenvector of the standard N × N DCT (discrete cosine transform) matrix of class II. A and B are fractional order matrices, P and Q are generation matrices, A and P are of size N/2, B and Q are of size N/2N, and size is described in terms of number of rows x number of columns.
Is unThe characteristic angle of the corresponding characteristic root is in the value range of [0, pi]。
And step 130, generating a first encryption result of the plaintext image corresponding to the random fractional discrete cosine transform encryption operation.
Fig. 2 is a flowchart of the encryption/decryption process, in which E denotes a first encryption result.
Correspondingly, in FIG. 2
The decryption process is the inverse of the encryption process described above for the images generated in the decryption process.
According to the technical scheme of the embodiment, a generation matrix and a fractional order matrix are obtained, wherein the generation matrix and the fractional order matrix are two-dimensional matrixes, the generation matrix and the fractional order matrix are used as parameters of a random fractional order discrete cosine transform kernel matrix corresponding to a plaintext image to be encrypted, so that random fractional order discrete cosine transform encryption operation is performed on the plaintext image, and a first encryption result of the plaintext image corresponding to the random fractional order discrete cosine transform encryption operation is generated. The security and the efficiency of image encryption are improved.
Fig. 3 is a schematic flow chart of another image encryption method according to an embodiment of the present invention, and referring to fig. 3, the method further includes the following steps:
and 310, scrambling the first encryption result of the plaintext image to generate a second encryption result of the plaintext image.
In this embodiment, the first encryption result E is quantized to obtain E1The corresponding quantization formula is:
then, the quantized image E is1And carrying out scrambling processing to obtain a second encryption result of the plaintext image.
It should be noted that the quantization is to limit the range of the first encryption result E to be between 0 and 255, so as to facilitate the subsequent diffusion operation, because in the diffusion operation, the pixel value of the image to be processed is required to be an integer between 0 and 255. The quantization process corresponds to a mapping, such as uniformly mapping values between 0 and 100 to values between 0 and 1, 100 to 1, 99 to 0.99.
Specifically, step 310 includes the following substeps:
s6: obtaining a second encryption parameter of the plaintext image according to the second preset key parameter and the disturbance parameter;
second encryption parameter z0υ, γ have been obtained from step 110 of the above example.
S7: obtaining a life game primary matrix and a random matrix according to the second encryption parameter and a preset chaotic mapping function;
s8: performing iterative operation on the life game primary matrix by adopting a preset life game algorithm to obtain a plurality of life game matrixes;
s9: and traversing the first encryption result of the plurality of life game matrixes respectively by adopting the row-column priority order to obtain a second encryption result of the plaintext image.
The preset chaotic map (1D Chaos map) function is as follows:
wherein υ ═ υ' + δ ∈ (0, 10)]，γ＝γ′+δ∈[8,20]To control the parameter, z0＝z0' + delta E (0,1) is an initial value, upsilon ', gamma ' and z0' is used as a key.
The preset life game algorithm is as follows:
wherein S is a binary matrix of NxN, St(i, j) represents the state of the element at time (i, j) t. 1 indicates "raw", 0 indicates "dead", and sum is the number of elements whose state is "raw" in the neighborhood of (i, j). The Moore neighborhood and periodic boundary conditions are used in the algorithm to obtain maximum degree of chaos.
Based on the above two formulas (a preset Chaos mapping (1D Chaos map) function and a preset life game algorithm), assuming that the scrambling output is M, the process of scrambling is described as follows:
1. iteration (3) formula K2+2N2-1 time, K before discarding2The term is used to increase the chaos degree to obtain the sequence
Wherein, K2Used as a key, is a known value in an encryption operation.
2. For the first N of the sequence z2The terms are binarized by taking 0.5 as a threshold value and rearranged into an NxN life game primary matrix D0(ii) a The last N of the sequence z2The entries are uniformly mapped to integers 0,1, …, 255 and rearranged as an N × N random matrix C.
3. To D0Iterating for h times by the formula (2) to obtain D1，D2，…，Dh。
4. Traverse D in row-first order1If D is an element of1When (i, j) is 1, M (i, j) is E (i, j).
5. For m 2, …, h, n 1, …, m-1, D is traversed in row-first ordermAnd DnIf D is an element ofm(i, j) ═ 1, and DnWhen (i, j) is 0, M (i, j) is E (i, j).
6. For m-1, …, h, traverse D in row-first ordermIf D is an element ofmWhen (i, j) is 0, M (i, j) is E (i, j).
7. Let E be M, re-execute the above steps 4, 5, 6 in the order of column priority.
In summary, M is the second encryption result. Correspondingly, the scrambling process also has a decryption process, the principle of the decryption process is the same as the encryption principle of the scrambling process, and the specific process is shown in fig. 2, and fig. 2
The decryption process is the inverse of the encryption process described above for the images generated in the decryption process.
According to the technical scheme of the embodiment, scrambling processing is further performed on the basis of random fractional order discrete cosine transform encryption operation, the scrambling processing adopts a life game algorithm based on chaotic mapping, the statistical characteristic of a first encryption result is changed, and therefore the security of image encryption is improved.
Fig. 4 is a schematic flowchart of another image encryption method according to an embodiment of the present invention, and referring to fig. 4, the method further includes the following steps:
and step 410, performing diffusion processing on the second encryption result of the plaintext image by using exclusive-or operation to obtain a ciphertext image of the plaintext image.
Specifically, step 410 includes the following 2 sub-steps:
s10, passing the second encryption result and the random matrix through a preset exclusive OR function to obtain diffusion output;
and S11, outputting the diffusion as the ciphertext image.
In this embodiment, the result of scrambling is further diffused by using an exclusive or operation, so that the histogram of the diffused image is approximately uniformly distributed, the information entropy is close to an ideal value, and the result is output as a final ciphertext image. The preset exclusive-or function employed by the diffusion process is as follows:
the corresponding inverse operation can be described as:
wherein C is the random matrix described above,
and R is a diffusion output, namely a final ciphertext image. The diffusion process also has a decryption process, a principle of the decryption process and an encryption of the diffusion processThe principle is the same, and the specific process is shown in figure 2. In addition, referring to fig. 5, the first column is three plaintext images; the second column is a corresponding random fractional order discrete cosine transform encrypted image; the third column is the corresponding scrambled and diffused image; the fourth column is the corresponding decrypted image.
It should be noted that the image encryption method provided by the invention can resist attacks based on adjacent pixel correlation coefficient analysis, can resist differential attacks, can resist certain noise attacks and clipping attacks, and has certain robustness.
According to the technical scheme of the embodiment, on the basis of the second encryption result M obtained through scrambling processing, diffusion processing is further performed, so that the histogram of the diffused image is approximately uniformly distributed, the information entropy is close to an ideal value, therefore, attacks based on information entropy analysis and attacks of histogram analysis can be resisted, and the security of image encryption is further improved.
Fig. 6 is a schematic structural diagram of an image encryption apparatus according to an embodiment of the present invention, which is suitable for executing an image encryption method according to any embodiment of the present invention, and as shown in fig. 6, the apparatus includes: a matrix generation module 610, a first encryption module 620 and a first encryption result generation module 630.
The matrix generating module 610 is configured to obtain a generator matrix and a fractional order matrix, where the generator matrix and the fractional order matrix are both two-dimensional matrices;
the first encryption module 620 is configured to use the generated matrix and the fractional order matrix as parameters of a random fractional order discrete cosine transform kernel matrix corresponding to a plaintext image to be encrypted, so as to perform random fractional order discrete cosine transform encryption operation on the plaintext image;
a first encryption result generating module 630, configured to generate a first encryption result of a plaintext image corresponding to the random fractional discrete cosine transform encryption operation.
On the basis of the above embodiment, the first encryption module 620 includes:
generating an intermediate image according to the row elements of the plaintext image and the corresponding row elements of the random fractional order discrete cosine transform kernel matrix;
and carrying out random fractional order discrete cosine transform encryption operation on the plaintext image according to the column elements of the intermediate image and the corresponding column elements of the random fractional order discrete cosine transform kernel matrix.
On the basis of the above embodiment, the matrix generation module 610 includes:
acquiring a preset key parameter and a disturbance parameter of the plaintext image, wherein the disturbance parameter is calculated by the plaintext image and a preset formula, and the preset key parameter comprises a first preset key parameter and a second preset key parameter;
obtaining a first encryption parameter of the plaintext image according to the first preset key parameter and the disturbance parameter;
and obtaining the generator matrix and the fractional order matrix according to the first encryption parameter and a preset two-dimensional adjustment logistic sine mapping function.
On the basis of the above embodiment, the method further includes:
and the second encryption result generation module is used for scrambling the first encryption result of the plaintext image to generate a second encryption result of the plaintext image.
On the basis of the above embodiment, the second encryption result generation module includes:
obtaining a second encryption parameter of the plaintext image according to the second preset key parameter and the disturbance parameter;
obtaining a life game primary matrix and a random matrix according to the second encryption parameter and a preset chaotic mapping function;
performing iterative operation on the life game primary matrix by adopting a preset life game algorithm to obtain a plurality of life game matrixes;
and traversing the first encryption result of the plurality of life game matrixes respectively by adopting the row-column priority order to obtain a second encryption result of the plaintext image.
On the basis of the above embodiment, the method further includes:
and the third encryption result generation module is used for performing diffusion processing on the second encryption result of the plaintext image by adopting XOR operation to obtain a ciphertext image of the plaintext image.
On the basis of the above embodiment, the third encryption result generation module includes:
the second encryption result and the random matrix pass through a preset exclusive OR function to obtain diffusion output;
and outputting the diffusion as the ciphertext image.
The image encryption device provided in this embodiment obtains a generator matrix and a fractional order matrix, where the generator matrix and the fractional order matrix are both two-dimensional matrices, and the generator matrix and the fractional order matrix are used as parameters of a random fractional order discrete cosine transform kernel matrix corresponding to a plaintext image to be encrypted, so as to perform random fractional order discrete cosine transform encryption operation on the plaintext image, and generate a first encryption result of the plaintext image corresponding to the random fractional order discrete cosine transform encryption operation. The security and the efficiency of image encryption are improved.
Embodiments of the present invention provide a computer-readable storage medium on which a computer program is stored, which when executed by a processor implements an image encryption method as provided in all embodiments of the present invention: that is, the program when executed by the processor implements: the method comprises the steps of obtaining a generating matrix and a fractional order matrix, wherein the generating matrix and the fractional order matrix are two-dimensional matrixes, and taking the generating matrix and the fractional order matrix as parameters of a random fractional order discrete cosine transform kernel matrix corresponding to a plaintext image to be encrypted so as to perform random fractional order discrete cosine transform encryption operation on the plaintext image and generate a first encryption result of the plaintext image corresponding to the random fractional order discrete cosine transform encryption operation.
Any combination of one or at least two computer readable media may be employed. The computer readable medium may be a computer readable signal medium or a computer readable storage medium. A computer readable storage medium may be, for example, but not limited to, an electronic, magnetic, optical, electromagnetic, infrared, or semiconductor system, apparatus, or device, or any combination of the foregoing. More specific examples (a non-exhaustive list) of the computer readable storage medium would include the following: an electrical connection having one or at least two wires, a portable computer diskette, a hard disk, a Random Access Memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber, a portable compact disc read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the foregoing. In the context of this document, a computer readable storage medium may be any tangible medium that can contain, or store a program for use by or in connection with an instruction execution system, apparatus, or device.
A computer readable signal medium may include a propagated data signal with computer readable program code embodied therein, for example, in baseband or as part of a carrier wave. Such a propagated data signal may take any of a variety of forms, including, but not limited to, electro-magnetic, optical, or any suitable combination thereof. A computer readable signal medium may also be any computer readable medium that is not a computer readable storage medium and that can communicate, propagate, or transport a program for use by or in connection with an instruction execution system, apparatus, or device.
Program code embodied on a computer readable medium may be transmitted using any appropriate medium, including but not limited to wireless, wireline, optical fiber cable, RF, etc., or any suitable combination of the foregoing.
Computer program code for carrying out operations for aspects of the present invention may be written in any combination of one or more programming languages, including an object oriented programming language such as Java, Smalltalk, C + + or the like and conventional procedural programming languages, such as the "C" programming language or similar programming languages. The program code may execute entirely on the user's computer, partly on the user's computer, as a stand-alone software package, partly on the user's computer and partly on a remote computer or entirely on the remote computer or electronic device. In the case of a remote computer, the remote computer may be connected to the user's computer through any type of network, including a Local Area Network (LAN) or a Wide Area Network (WAN), or the connection may be made to an external computer (for example, through the Internet using an Internet service provider).
Fig. 7 is a schematic structural diagram of an electronic device according to an embodiment of the present invention, where the electronic device may be integrated with the image encryption apparatus according to the embodiment of the present invention. Referring to fig. 7, an electronic device 700 may include: the image encryption device comprises a memory 710, a processor 720 and a computer program which is stored on the memory 710 and can be run by the processor 720, wherein the processor 720 executes the computer program to realize the image encryption method according to the embodiment of the invention.
The electronic device provided by the embodiment of the invention obtains a generator matrix and a fractional order matrix, wherein the generator matrix and the fractional order matrix are two-dimensional matrices, and the generator matrix and the fractional order matrix are used as parameters of a random fractional order discrete cosine transform kernel matrix corresponding to a plaintext image to be encrypted so as to perform random fractional order discrete cosine transform encryption operation on the plaintext image and generate a first encryption result of the plaintext image corresponding to the random fractional order discrete cosine transform encryption operation. The security and the efficiency of image encryption are improved.
It is to be noted that the foregoing is only illustrative of the preferred embodiments of the present invention and the technical principles employed. It will be understood by those skilled in the art that the present invention is not limited to the particular embodiments described herein, but is capable of various obvious changes, rearrangements and substitutions as will now become apparent to those skilled in the art without departing from the scope of the invention. Therefore, although the present invention has been described in greater detail by the above embodiments, the present invention is not limited to the above embodiments, and may include other equivalent embodiments without departing from the spirit of the present invention, and the scope of the present invention is determined by the scope of the appended claims.
Claims (8)
1. An image encryption method, comprising:
acquiring a generator matrix and a fractional order matrix, wherein the generator matrix and the fractional order matrix are two-dimensional matrixes;
taking the generated matrix and the fractional order matrix as parameters of a random fractional order discrete cosine transform kernel matrix corresponding to a plaintext image to be encrypted so as to perform random fractional order discrete cosine transform encryption operation on the plaintext image;
generating a first encryption result of a plaintext image corresponding to the random fractional order discrete cosine transform encryption operation;
after the first encryption result of the plaintext image corresponding to the random fractional discrete cosine transform encryption operation is generated, the image encryption method further includes:
scrambling the first encryption result of the plaintext image to generate a second encryption result of the plaintext image, which specifically includes:
obtaining a second encryption parameter of the plaintext image according to a second preset key parameter and the disturbance parameter;
obtaining a life game primary matrix and a random matrix according to the second encryption parameter and a preset chaotic mapping function;
performing iterative operation on the life game primary matrix by adopting a preset life game algorithm to obtain a plurality of life game matrixes;
traversing the first encryption result of the plurality of life game matrixes respectively by adopting a row-column priority order to obtain a second encryption result of the plaintext image;
wherein the disturbance parameter is:
wherein the content of the first and second substances,
is the mean value of the plaintext image,
is a lower integer function;
the preset chaotic mapping parameters are as follows:
wherein υ ═ υ' + δ ∈ (0, 10)]，γ＝γ′+δ∈[8,20]To control the parameter, z0＝z0' + delta E (0,1) is an initial value, upsilon ', gamma ' and z0' used as a key;
the life game algorithm is as follows:
wherein S is a binary matrix of NxN, St(i, j) represents the state of the element at time (i, j) t, 1 is "living", 0 is "dead", sum is the number of elements whose state is "living" in the neighborhood of (i, j), and the algorithm uses a Moore neighborhood and periodic boundary conditions.
2. The method according to claim 1, wherein the step of taking the generator matrix and the fractional order matrix as parameters of a random fractional order discrete cosine transform kernel matrix corresponding to a plaintext image to be encrypted to perform a random fractional order discrete cosine transform encryption operation on the plaintext image comprises:
generating an intermediate image according to the row elements of the plaintext image and the corresponding row elements of the random fractional order discrete cosine transform kernel matrix;
and carrying out random fractional order discrete cosine transform encryption operation on the plaintext image according to the column elements of the intermediate image and the corresponding column elements of the random fractional order discrete cosine transform kernel matrix.
3. The method of claim 1, wherein obtaining a generator matrix and a fractional order matrix comprises:
acquiring a preset key parameter and a disturbance parameter of the plaintext image, wherein the disturbance parameter is calculated by the plaintext image and a preset formula, and the preset key parameter comprises a first preset key parameter and a second preset key parameter;
obtaining a first encryption parameter of the plaintext image according to the first preset key parameter and the disturbance parameter;
and obtaining the generator matrix and the fractional order matrix according to the first encryption parameter and a preset two-dimensional adjustment logistic sine mapping function.
4. The method of claim 1, wherein after performing a row-first traversal of the plurality of life game matrices to obtain a second encryption result of the plaintext image, the image encryption method further comprises:
and performing diffusion processing on the second encryption result of the plaintext image by adopting XOR operation to obtain a ciphertext image of the plaintext image.
5. The method according to claim 4, wherein performing a diffusion process on the second encryption result of the plaintext image by using an exclusive-or operation to obtain a ciphertext image of the plaintext image comprises:
the second encryption result and the random matrix pass through a preset exclusive OR function to obtain diffusion output;
and outputting the diffusion as the ciphertext image.
6. An image encryption apparatus characterized by comprising:
the device comprises a matrix generation module, a fractional order generation module and a fractional order generation module, wherein the matrix generation module is used for acquiring a generation matrix and a fractional order matrix, and the generation matrix and the fractional order matrix are two-dimensional matrixes;
the first encryption module is used for taking the generating matrix and the fractional order matrix as parameters of a random fractional order discrete cosine transform kernel matrix corresponding to a plaintext image to be encrypted so as to carry out random fractional order discrete cosine transform encryption operation on the plaintext image;
the first encryption result generation module is used for generating a first encryption result of a plaintext image corresponding to the random fractional discrete cosine transform encryption operation;
a second encryption result generation module, configured to perform scrambling processing on the first encryption result of the plaintext image to generate a second encryption result of the plaintext image, and specifically includes:
obtaining a second encryption parameter of the plaintext image according to a second preset key parameter and the disturbance parameter;
obtaining a life game primary matrix and a random matrix according to the second encryption parameter and a preset chaotic mapping function;
performing iterative operation on the life game primary matrix by adopting a preset life game algorithm to obtain a plurality of life game matrixes;
traversing the first encryption result of the plurality of life game matrixes respectively by adopting a row-column priority order to obtain a second encryption result of the plaintext image;
wherein the disturbance parameter is:
wherein the content of the first and second substances,
is the mean value of the plaintext image,
is a lower integer function;
the preset chaotic mapping parameters are as follows:
wherein υ ═ υ' + δ ∈ (0, 10)]，γ＝γ′+δ∈[8,20]To control the parameter, z0＝z0' + delta E (0,1) is an initial value, upsilon ', gamma ' and z0' used as a key;
the life game algorithm is as follows:
wherein S is a binary matrix of NxN, St(i, j) represents the state of the element at time (i, j) t, 1 is "living", 0 is "dead", sum is the number of elements whose state is "living" in the neighborhood of (i, j), and the algorithm uses a Moore neighborhood and periodic boundary conditions.
7. A computer storage medium having a computer program stored thereon, wherein the program, when executed by a processor, implements the image encryption method of any one of claims 1-5.
8. An electronic device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, the processor implementing the image encryption method according to any one of claims 1 to 5 when executing the computer program.
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