CN105931175A - Novel image scrambling method based on chaotic technology - Google Patents
Novel image scrambling method based on chaotic technology Download PDFInfo
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Abstract
The invention discloses a novel image scrambling method based on a chaotic technology, for controlling a cyclic shift and a rotation angle of an image through chaotic sequences after quantification processing. First of all, through combination with feature values of R, G and B different layers of a color image, three initial values of a chaotic system are generated, and three chaotic sequences are generated through the independent chaotic system; according to maximum values of the length and the width of a plaintext image, defining a variable w and performing quantification processing on the chaotic sequences; and finally, through pairwise combination of the three chaotic sequences, cyclic shift bit numbers and rotation angles of different layers and different row pixels are controlled, and finally a scrambled color image is obtained. According to the invention, the scrambled image has quite good randomness, conventional image attacks can be fended off, and the limitation that pixels, at the same positions, of different image layers have quite high correlation after a conventional scrambling image algorithm is encrypted is also broken.
Description
Technical field
The present invention relates to image encryption technical field, be specifically related to a kind of New Image disorder method based on chaos technology.
Background technology
Image scrambling refers to obscure the pixel of image, also makes pixel shuffle.In image encryption technology of today diffusion and
Obscuring is the most relatively common technology.Current most image encryption is all by diffusion and to obscure combined method to image
It is encrypted.Primarily now image is encrypted by image at pixel domain, colourity territory, frequency domain and this four direction of bit plane.
Researcher is mainly processed by optimization diffusion couple image so that it is has certain randomness, carries out hidden to original image information
Hiding, have ignored the importance of Obfuscating Algorithms to a certain extent, these scrambling algorithms are the most similar.As generally adopted in pixel domain
With orthogonal transformation, Knight tour transformation, Arnold Cat maps, traversal battle array algorithm etc..These algorithms are most commonly that Arnold
Cat maps and traversal battle array algorithm, but all there is the weak point of many in both algorithms.
The first Cat maps algorithm, its transformation for mula is as follows.
Wherein (X, Y) is the initial coordinate of image, by being converted to new coordinate (Xn+1, Yn+1), but Cat maps is deposited
In a lot of limitation.Such as Cat maps is by the size limitation of image in plain text, and its size must be the square rule schema of N × N
Picture, if to irregular image, must carry out modularized processing to it, and this just seems sufficiently complex.And for once converting,
The effect of image scrambling is not highly desirable, or can reflect relatively more image informations, and makes the neighbor pixel of image
Dependency is higher.Therefore generally require and just can be had reasonable effect by successive ignition.But meeting after being encrypted by successive ignition
Requirement to deciphering becomes the highest, generally requires and just can be obtained decrypted image by successive ignition, adds difficulty in computation and deciphering
Time.And there is cycle period in Cat maps so that it is scramble result there are sex-limited, is easily cracked.
The second is ergodic algorithm, and this algorithm is to be obtained and image length in plain text and wide two equal traversal sequences by chaos system
Row, are changed the coordinate of pixel.This method is owing to being affected by computer finite accuracy, and the chaos sequence of generation is also
Will not travel through completely, it is therefore desirable to by manual operation, it is carried out traversalization and process.Relatively common is by chaos sequence
While bubble sort, generic sequence is upset and obtain ergodic sequence, or by interpolation method, repeated in chaos sequence
Or the value lacked increases and decreases.Finally with two obtained ergodic sequences, the row and column of image is reset.By above-mentioned
Two kinds of artificial methods carry out traversalization and process the randomness decline that all can make to produce sequence, cause the adjacent picture of the image after scramble
There is higher dependency between element, scrambling effect is undesirable, and needs just can be obtained reasonable effect by repeatedly scramble,
Thus considerably increase the complexity of algorithm and the time of image scrambling.
Summary of the invention
In order to solve above-mentioned existing problem, strengthening the safety of image information, improve the efficiency of encryption, the present invention carries
For a kind of New Image disorder method based on chaos technology.
The New Image disorder method of invention mainly constructs randomizer with chaos system, produces according to the characteristic of image itself
Chaos initial value and quantization parameter, carry out quantification treatment to the chaos sequence generated, and utilizes cyclic shift and the pivoting mechanism of magic square,
Realize the mutual scrambling encryption of image RGB tri-layers, and finally give the image after scramble.
Realization the technical scheme is that
A kind of New Image disorder method based on chaos technology, including image scrambling and two processes of image descrambling；
Described image scrambling process comprises the steps:
1) obtain the percent value of binary number " 1 " in each layer, the initial value of chaos system is set respectively
xR(1), xG(1), xB(1)；
2) comparing length and the width of initial pictures, taking its higher value is parameter w；According to initial value xR(1), xG(1), xB(1),
Iterative chaotic system (1) w time, obtains chaos sequence xR(n), xG(n), xB(n), 1≤n≤w；
Wherein, in formula (1), α (0 ＜ α ＜ 1, and α ≠ 0.5) is the control parameter of tent maps, and i represents the i-th value of sequence,
xR, G, BRepresent and generate and tri-layers of corresponding three group chaos sequence of RGB；Further by following formula (2) by three obtained by above-mentioned
The numerical value of individual sequence carries out the integer sequence x ' quantifying to obtain correspondenceR(n), x 'G(n), x 'B(n)；
x′R, G, B(i)=xR, G, B(i)×1014Modw+1 i ∈ (1, w) (2)
x′R, G, BRepresent by three groups of chaos sequences after quantifying；
3) R, G, B tri-layers being circulated displacement and rotation process, concrete cyclic shift and rotation mode are as follows:
Assuming that the line number of each layer data matrix any time is L during disorder processing, to the scramble step of image R layer it is:
A. set i=1, the even number line less than or equal to L/2 in R layer and the odd-numbered line more than or equal to L/2 are circulated and move to left
x′G(i) position；Other row in R layer is carried out ring shift right x 'B(i) position, as shown in formula (3), wherein i represents the i-th value of sequence,
IRRepresenting the R layer matrix of image, j represents the jth row of image；
B. after a cyclic shift completes, to the new matrix half-twist to the right obtained；
C. make i=i+1, repeat step a and step b；
D., as i ＞ w, R layer shuffle operation completes；
The scramble step of image G layer and B layer is basically identical with the scramble step of R layer, only exists the technicality of process, specifically
For:
1. G layer is in opposite direction from the odd even shift of R layer and shift control parameter is different, as to being less than or equal to L/2 in G layer
Odd-numbered line and the even number line more than or equal to L/2 are circulated and move to left x 'RI () position, carries out ring shift right x ' to other rowB(i) position, tool
Shown in body such as formula (4)；
2. B layer and the direction of rotation of R layer are contrary and shift control parameter is different, as B layer step b is half-twist to the left,
Shift control parameter is respectively x 'R(i) and x 'GI (), specifically as shown in formula (5)；
By above-mentioned, R layer, G layer and the scramble of B layer being finally given the image of scramble, scrambling process terminates；
The descrambling process of described image comprises the steps:
1) with the step 1 of scrambling process), 2), 3) consistent, first obtain three integer chaos sequence x 'R(n), x 'G(n), x 'B(n),
1≤n≤w；
2) in like manner, R, G, B tri-layers is circulated displacement and rotation process, it is assumed that during descrambling, each layer matrix is any
The line number in moment is L, to the decryption step of R layer is:
A. set i=w, the even number line less than or equal to L/2 in R layer and the odd-numbered line more than L/2 are circulated and move to right x 'G(i)
Position, carries out ring shift left x ' to other row in R layerB(i) position；
B. after a cyclic shift completes, to the new matrix half-twist to the left obtained；
C. make i=i-1, repeat step a and step b；
D., when i≤0, R layer descrambling has operated.
Basically identical to the descrambling process of G layer and B layer, detail is distinguished as: the displacement mode of each row of G layer and R layer phase
Instead, and control parameter be respectively x 'R(i) and x 'B(i)；And direction of rotation each during the descrambling of B layer is contrary with R layer, and with
The control parameter of displacement is respectively x 'R(i) and x 'GI the displacement mode of () carries out descrambling.
To stating R layer, G layer and the descrambling of B layer on by, finally giving the image after descrambling, descrambling process terminates.
Present invention New Image based on chaos technology disorder method has the beneficial effect that:
1) initial value of chaos system is that the information characteristics according to plaintext image obtains, by obtaining binary number in each pixel layer
The percent value of " 1 " is as the initial value of chaos system.They are all made up of high-precision fractional fixed point, make whole system have
There is the biggest key space.
2) the Novel magic cube scrambling algorithm of the present invention is adapting to image scrambling algorithm, for the image of arbitrary dimension, can depend on
According to the characteristic of itself, it is carried out scramble.And the value of chaos sequence and number are all subject to this height of image and wide maximum in plain text
Value is strict to be controlled so that it is scramble pixel can the optional position of traversing graph picture.
3) rotation of disorder method Main Basis magic square and shift characteristics, the rotation that the picture element matrix of difference figure layer is used
The most different with shifting function mode, greatly enhance pixel dispersion randomness in the picture.
4) by the method for the image mutual scramble of each interlayer, the dependency of the adjacent pixel values of figure interlayer same position is reduced.
The Novel magic cube scrambling algorithm based on chaos technology of the present invention possesses the function of quick scramble image in plain text, and simultaneity factor is multiple
After miscellaneous degree and scramble, safety of image is high, and can resist normal image and attack.
Accompanying drawing explanation
Fig. 1 is the present invention overall RGB image disorder method flow chart；
Fig. 2 is the flow chart of the scrambling process of image scrambling method of the present invention；
Fig. 3 is the pixel shift figure of the embodiment of the present invention；
Fig. 4 is 10 × 8 image pixel shift maps after 90-degree rotation to the right in the embodiment of the present invention；
Fig. 5 is the flow chart of the descrambling process of image scrambling method of the present invention.
Detailed description of the invention
As depicted in figs. 1 and 2, a kind of New Image disorder method based on chaos technology, its scrambling process is as follows:
1), as a example by RGB image (assume size as M × N), the percentage of binary number " 1 " in each layer is obtained respectively
Ratio, is arranged the initial value x of chaos system respectivelyR(1), xG(1), xB(1)；
2), comparing length and the width of initial pictures, taking its higher value is parameter w；According to initial value xR(1), xG(1), xB(1),
Iterative chaotic system (1) w time, obtains chaos sequence xR(n), xG(n), xB(n), 1≤n≤w；
Wherein, in formula (1), α (0 ＜ α ＜ 1, and α ≠ 0.5) is the control parameter of tent maps, further by formula (2) by upper
The numerical value stating obtained three sequence carries out quantifying to obtain corresponding integer sequence x 'R(n), x 'G(n), x 'B(n)；
x′R, G, B(i)=xR, G, B(i)×1014Modw+1 i ∈ (1, w) (2)
3), R, G, B tri-layers is circulated displacement and rotation process.Wherein, concrete displacement and the rotation of each layer have employed not
Same mode of operation.Specific as follows:
Assuming that the line number of each layer data matrix any time is L during disorder processing, to the scramble step of image R layer it is:
A. set i=1, the even number line less than or equal to L/2 in R layer and the odd-numbered line more than or equal to L/2 are circulated and move to left
x′G(i) position；Other row in R layer is carried out ring shift right x 'B(i) position, as shown in formula (3), wherein i represents the i-th value of sequence,
J represents the jth row of image；
B. after a cyclic shift completes, to the new matrix half-twist to the right obtained；
C. make i=i+1, repeat step a and step b；
D., as i ＞ w, R layer shuffle operation completes.
The scramble step of image G layer and B layer is basically identical with the scramble step of R layer, only exists the technicality of process, specifically
For:
1. G layer is in opposite direction from the odd even shift of R layer and shift control parameter is different, as to being less than or equal to L/2 in G layer
Odd-numbered line and the even number line more than or equal to L/2 are circulated and move to left x 'RI () position, carries out ring shift right x ' to other rowB(i) position, tool
Shown in body such as formula (4).
2. B layer and the direction of rotation of R layer are contrary and shift control parameter is different, as B layer step b is half-twist to the left,
Shift control parameter is respectively x 'R(i) and x 'GI (), specifically as shown in formula (5).
Embodiment
For ease of the explanation present invention, existing as a example by the image of a size of 10 × 8, by Magic Cube Permutation Algorithm, it is carried out scramble.
According to above-mentioned scramble step 1) obtain three original chaotic sequences xR(n), xG(n), xB(n).By step 2) definition w is image
Long and wide maximum 10, and to control three groups of sequence numbers be 10, by formula (2), the value of sequence is carried out quantization and obtains three
Organize new sequence x 'R(n), x 'G(n), x 'B(n)。
Fig. 3 is as a example by the R layer of 10 × 8RGB image, and image has 8 row, and therefore the value of L is equal to 8, here by
x′G(n), x 'B(n) two groups of ordered series of numbers control R tomographic image cyclic shifts:
A. the parity of L/2 row before judging, if less than or equal to L/2 odd-numbered line with more than or equal to L/2 even number line, by x 'B(n)
1st number x ' of sequenceB(1) this row pixel ring shift right x ' is controlledB(1) position.If being less than or equal to L/2 even number line and being more than or equal to
L/2 odd-numbered line, then by x 'GThe 1st number x ' of (n) sequenceG(1) this row pixel ring shift left x ' is controlledG(1) position.
As it is shown on figure 3, the 1st walks to eighth row according to above-mentioned judgment rule, image the 1st, 3,6,8 row ring shift right x 'B(1) position,
2,4,5,7th row ring shift left x 'G(1) position.
B. by image half-twist to the right, obtain new images a size of 10 × 8, as shown in Figure 4, make i=i+1.
C. Fig. 4 is postrotational image pixel shift map, and the line number re-reading image is 10, then variables L assignment again is equal to
10.Same as mentioned above, for less than or equal to L/2 odd-numbered line with more than or equal to L/2 even number line, by x 'BThe of (n) sequence
2 number x 'B(2) this row pixel ring shift right x ' is controlledB(21) position；For less than or equal to L/2 even number line and more than or equal to L/2 strange
Several rows, by x 'GThe 2nd number x ' of (n) sequenceG(2) this row pixel ring shift left x ' is controlledG(2) position；As shown in Figure 4,
1st walks to the 10th row according to above-mentioned judgment rule, image the 1st, 3,5,6,8,10 row ring shift right x 'B(2) position, the
2,4,7,9 row ring shift left x 'G(2) position.
D. image half-twist to the right, repetition step a, to step c, until i ＞ w, obtains R stratification unrest image.
The scramble step of image G layer and B layer is basically identical with the scramble step of R layer, only exists the technicality of process, specifically
For:
1. G layer is in opposite direction from the odd even shift of R layer and shift control parameter is different, and shift control parameter is respectively x 'R(i) and
x′BI (), moves to left x ' as being circulated the odd-numbered line less than or equal to L/2 in G layer and the even number line more than or equal to L/2R(i) position,
Other row is carried out ring shift right x 'BI () position, specifically as shown in formula (4).
2. B layer and the direction of rotation of R layer are contrary and shift control parameter is different, as B layer step b is half-twist to the left,
Shift control parameter is respectively x 'R(i) and x 'GI (), specifically as shown in formula (5).
Fig. 5 is the flow chart of descrambling process in New Image disorder method of the present invention, and descrambling process is the inverse process of scramble,
It specifically comprises the following steps that
1) such as the step 1 of scrambling process), 2) consistent, obtain three integer chaos sequence x 'R(n), x 'G(n), x 'B(n),
1≤n≤w；
2) during assuming to invert disorderly, the line number of each layer matrix any time is L, to the descrambling step of R layer is:
A. set i=w, the even number line less than or equal to L/2 in R layer and the odd-numbered line more than or equal to L/2 are circulated and move to right
x′GI () position, carries out ring shift left x ' to other row in R layerB(i) position；
B. after a cyclic shift completes, to the new matrix half-twist to the left obtained；
C. make i=i-1, repeat step a and step b；
D., when i≤0, R layer descrambling has operated.
Basically identical to the descrambling process of G layer and B layer, detail is distinguished as: the displacement mode of each row of G layer and R
Layer is contrary, is i.e. circulated the odd-numbered line less than or equal to L/2 in R layer and the even number line more than or equal to L/2 and moves to right x 'G(i) position,
Other row in R layer is carried out ring shift left x 'B(i) position, and control parameter be respectively x 'R(i) and x 'B(i)；And during the deciphering of B layer
Each direction of rotation is contrary with R layer, and the control parameter of displacement is respectively x 'R(i) and x 'GI the displacement mode of () carries out solution and puts
Disorderly.
Claims (1)
1. a New Image disorder method based on chaos technology, it is characterised in that include image scrambling and image descrambling two
Individual process；
Described image scrambling process comprises the steps:
1) obtain the percent value of binary number " 1 " in RGB tri-layers respectively, and be set to the initial value of chaos system
xR(1), xG(1), xB(1)；
2) comparing length and the width of initial pictures, taking its higher value is parameter w；According to initial value xR(1), xG(1), xB(1),
Iterative chaotic system (1) w time, obtains three groups of chaos sequence xR(n), xG(n), xB(n), 1≤n≤w；
Wherein, in formula (1), α (0 ＜ α ＜ 1, and α ≠ 0.5) is the control parameter of tent maps, and i represents the i-th value of sequence,
xR, G, BRepresent and generate and tri-layers of corresponding three group chaos sequence of RGB；Further by following formula (2) by three obtained by above-mentioned
The numerical value of individual sequence carries out the integer sequence x ' quantifying to obtain correspondenceR(n), x 'G(n), x 'B(n)；
x′R, G, B(i)=xR, G, B(i)×1014Mod w+1 i ∈ (1, w) (2)
x′R, G, BRepresent by three groups of chaos sequences after quantifying；
3) R, G, B tri-layers being circulated displacement and rotation process, concrete cyclic shift and rotation mode are as follows:
Assuming that the line number of each layer data matrix any time is L during disorder processing, to the scramble step of image R layer it is:
A. set i=1, the even number line less than or equal to L/2 in R layer and the odd-numbered line more than or equal to L/2 are circulated and move to left
x′G(i) position；Other row in R layer is carried out ring shift right x 'B(i) position, as shown in formula (3), wherein i represents the i-th value of sequence,
IRRepresenting the R layer matrix of image, j represents the jth row of image；
B. after a cyclic shift completes, to the new matrix half-twist to the right obtained；
C. make i=i+1, repeat step a and step b；
D., as i ＞ w, R layer shuffle operation completes；
The scramble step of image G layer and B layer is basically identical with the scramble step of R layer, only exists the technicality of process, specifically
For:
1. G layer is in opposite direction from the odd even shift of R layer and shift control parameter is different, as to being less than or equal to L/2 in G layer
Odd-numbered line and the even number line more than or equal to L/2 are circulated and move to left x 'RI () position, carries out ring shift right x ' to other rowB(i) position, tool
Shown in body such as formula (4)；
2. B layer and the direction of rotation of R layer are contrary and shift control parameter is different, as B layer step b is half-twist to the left,
Shift control parameter is respectively x 'R(i) and x 'GI (), specifically as shown in formula (5)；
By above-mentioned, R layer, G layer and the scramble of B layer being finally given the image of scramble, scrambling process terminates；
The descrambling process of described image comprises the steps:
1) with the step 1 of scrambling process), 2), 3) consistent, first obtain three integer chaos sequence x 'R(n), x 'G(n), x 'B(n),
1≤n≤w；
2) in like manner, R, G, B tri-layers is circulated displacement and rotation process, it is assumed that during descrambling, each layer matrix is any
The line number in moment is L, to the descrambling step of R layer is:
A. set i=w, the even number line less than or equal to L/2 in R layer and the odd-numbered line more than L/2 are circulated and move to right x 'G(i)
Position, carries out ring shift left x ' to other row in R layerB(i) position；
B. after a cyclic shift completes, to the new matrix half-twist to the left obtained；
C. make i=i-1, repeat step a and step b；
D., when i≤0, R layer descrambling has operated；
Basically identical to the descrambling process of G layer and B layer, detail is distinguished as: the displacement mode of each row of G layer and R layer phase
Instead, and control parameter be respectively x 'R(i) and x 'B(i)；And direction of rotation each during B layer descrambling is contrary with R layer, and to move
The control parameter of position is respectively x 'R(i) and x 'GI the displacement mode of () carries out descrambling；
By above-mentioned to R layer, G layer and the descrambling of B layer, finally giving the image after descrambling, descrambling process terminates.
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| CN108600575A (en) * | 2018-05-22 | 2018-09-28 | 南京邮电大学 | RGB image encryption method based on incomplete Feistel networks |
| CN109586895B (en) * | 2018-11-30 | 2020-11-03 | 大连理工大学 | Novel color image encryption method |
| CN109586895A (en) * | 2018-11-30 | 2019-04-05 | 大连理工大学 | A kind of new color image encrypting method |
| CN109660695B (en) * | 2018-12-06 | 2020-03-10 | 广西师范大学 | Color image encryption method based on genetic simulated annealing algorithm and chaotic mapping |
| CN109660695A (en) * | 2018-12-06 | 2019-04-19 | 广西师范大学 | A kind of color image encrypting method based on Global Genetic Simulated Annealing Algorithm and chaotic maps |
| CN110473134A (en) * | 2019-07-18 | 2019-11-19 | 广西师范大学 | A kind of quantum image scrambling method based on GNEQR |
| CN110473134B (en) * | 2019-07-18 | 2021-02-19 | 广西师范大学 | Quantum image scrambling method based on GNEQR |
| CN110958106A (en) * | 2019-11-29 | 2020-04-03 | 珠海大横琴科技发展有限公司 | Parallel hybrid chaotic system under precision limited mode |
| CN110958106B (en) * | 2019-11-29 | 2020-10-23 | 珠海大横琴科技发展有限公司 | Parallel hybrid chaotic system under precision limited mode |
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