CN105279729B - A kind of three-dimensional information encryption method based on integration imaging and multi-chaos system - Google Patents
A kind of three-dimensional information encryption method based on integration imaging and multi-chaos system Download PDFInfo
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Abstract
The present invention proposes a kind of three-dimensional information encryption method based on integration imaging and multi-chaos system.This method includes the record of three-dimensional scenic and two processes of encryption of micro- pattern matrix, this method is shot using integration imaging principle using camera array to three-dimensional scenic, obtain image primitive, and then synthesize micro- pattern matrix, multi-chaos system is formed using Logistic chaos systems, Henon chaos systems and Chen chaos systems, micro- pattern matrix is encrypted, obtains the micro- pattern matrix of ciphertext, realizes the three-dimensional information cipher round results with compared with strong anti-interference and attacking ability.
Description
Technical field
It is more specifically, more particularly to a kind of to be based on integration imaging and more chaos systems the present invention relates to information security field
The three-dimensional information encryption method of system.
Background technology
Integration imaging is a kind of 3 D stereo technology for being recorded using microlens array and reproducing three-dimensional scenic, and it includes clapping
Take the photograph and show two processes.Shooting process obtains the steric information of three-dimensional scenic using microlens array, generates micro- pattern matrix；
Microlens array of the display process by micro- pattern matrix by identical parameters, reconstructs three-dimensional scenic at a certain distance from.Chaos
System is a kind of nonlinear system, and it shows the pseudo-randomness of complexity, and extremely sensitive to primary condition and control parameter, can
For fields such as information encryptions.But exist when being encrypted using chaos system causes chaos because Computer Precision is limited
The problems such as sequence randomness is bad, therefore only limited anti-interference and attacking ability, so as to limit chaos system in information
Application in encryption.
The content of the invention
The present invention proposes a kind of three-dimensional information encryption method based on integration imaging and multi-chaos system, and this method utilizes collection
Three-dimensional scenic is recorded into image-forming principle, and is encrypted using multi-chaos system, realizing has compared with strong anti-interference and attack
Hit the three-dimensional information cipher round results of ability.This method includes the record of three-dimensional scenic and two processes of encryption of micro- pattern matrix.
Idiographic flow is as shown in Figure 1.The recording process of three-dimensional scenic, according to integration imaging principle, using camera（Containing video camera and photograph
Camera）Array is shot to three-dimensional scenic, obtains image primitive, and then synthesize micro- pattern matrix；Micro- pattern matrix it is encrypted
Journey, image encryption is carried out using multi-chaos system to micro- pattern matrix, the micro- pattern matrix of ciphertext is obtained, for decrypting and being integrated into
As reproducing.
The recording process of the three-dimensional scenic, according to integration imaging principle, three-dimensional scenic is clapped using camera array
Take the photograph, obtain the three-dimensional information of three-dimensional scenic, image primitive is obtained on CCD, and then synthesize micro- pattern matrix, as shown in Figure 2.M
×NIndividual camera parallel arranged in the vertical and horizontal directions（The camera number that wherein horizontal direction includes isM, vertical direction bag
The camera number contained isN）, it is assumed that between adjacent cameras equidistantly, integration imaging shoots central depths plane to camera array
Distance isl, thenlMeet：
（1）
Wherein,gFor the distance between camera lens and CCD,fFor the focal length of camera lens.
Using the information of diverse location cameras record three-dimensional scenic different angle, obtained on CCDM×NWidth image, to every
The unnecessary pixel of width image cropping, so as to obtainM×NWidth image primitive.Assuming that index isi,jCamera shooting three-dimensional scenic processing
Obtained image primitive isI i, j (p, q), therefore micro- pattern matrix is expressed as：
（2）
Wherein,hThe number of pixels included for each image member horizontal direction,vIncluded for each image member vertical direction
Number of pixels,p,qFor image primitive pixel coordinate,p = 0, 1, ..., h- 1,q = 0, 1, ..., v-1。
The ciphering process of micro- pattern matrix, utilize Logistic chaos systems, Henon chaos systems and Chen chaos
System forms multi-chaos system, and micro- pattern matrix is encrypted, obtains the micro- pattern matrix of ciphertext.Assuming that micro- pattern matrix by R,
Tri- component compositions of G and B, wherein R component is expressed asF r , G representation in components isF g , B component is expressed asF b , and R, G and B component are big
It is small to beP×Q.R component is encrypted using Logistic chaos systems.Two Logistic chaos systems are specified, respectively
It is expressed as：
（3）
（4）
Wherein,t = 1, 2, ..., P×Q,aWithbFor systematic parameter.Assuming thatF r Middle all pixels gray value sum isSumFr, it is rightSumFrHandled to obtain auxiliary keyr, thenrMeet：
（5）
WhereinkFor imageF r Number of bits.To selecting initial conditionx11Withx21Enter line translation to obtainx1′ 1Withx2′ 1, it is full
Foot：
（6）
（7）
Willx1′ 1Withx2′ 1As the final primary condition of Logistic chaos systems, it is iterated using formula (3), (4),
Generating two groups of long degree isP×QReal number chaos sequencex1′ t Andx2′ t }.Tox1′ t Andx2′ t Enter line translation, generate
Two groups of improved real number chaos sequencesy1 t Andy2 t , it meets：
（8）
（9）
WillF r It is transformed to one-dimensional sequenceB r (t), using chaos sequencey1 t Andy2 t RightB r (t) handled, generation is new
SequenceB r ′(t), it meets：
（10）
Preferably, in order to avoid the mistake that ciphering process occurs, parameteru 1Value is taken as 12.
To micro- pattern matrix G componentsF g It is encrypted using Henon chaos systems, wherein Henon chaos systems are expressed as：
（11）
Wherein,t = 1, 2, ..., P×Q,cWithdFor systematic parameter,m 1Withn 1For system initial value.Utilize formula (11)
Two groups of long degree of grey iterative generation areP×QSequencem t Andn t , willm t Subsetm floor(P×Q/3)+2, m floor(P×Q/3)+3,
…, m 2floor(P×Q/3)+2Withn t Subsetn 1, n 2, …, n floor(P×Q/3) +1Swap, generate two groups of sequences
{m t ′Andn t ′}.WillF g It is converted into one-dimensional sequenceB g (t), using chaos sequencem t ′Andn t ′RightB g (t) handled, it is raw
Cheng Xin sequenceB g ′(t), it meets：
（12）
Preferably, in order to avoid the mistake that ciphering process occurs, parameteru 2Value is taken as 12.
To micro- pattern matrix B componentF b It is encrypted using Chen chaos systems, wherein the dynamics of Chen chaos systems
Equation is expressed as：
（13）
Wherein,u 4、u 5、u 6For systematic parameter.Appointing system initial valuex 1、y 1Withz 1, three groups are obtained using Chen chaos systems
Chaos sequencex t }、{y t Andz t } (t = 1, 2, ..., P×Q).WillF b It is converted into one-dimensional sequenceB b (t), utilize chaos
Sequencex t Andy t RightB b (t) handled, generate new sequenceB b ′(t), it is represented by：
（14）
Preferably, in order to avoid the mistake that ciphering process occurs, parameteru 3Value is taken as 12.
By three one-dimensional sequencesB r ′(t)、B g ′(t) andB b ′(t) be transformed to respectivelyP×QMatrixF i ′(x, y) (i=1,
2,3), the micro- pattern matrix of combination producing ciphertextF′(x, y), it is represented by：
（15）
Wherein,m = 1, 2, ..., P,n = 1, 2, ..., Q。
The present invention is adopted by the record of three-dimensional scenic and two processes of encryption of micro- pattern matrix according to integration imaging principle
Three-dimensional scenic is shot with camera array, obtains image primitive, and then synthesizes micro- pattern matrix, micro- pattern matrix is used more
Chaos system carries out image encryption, realizes the encryption of three-dimensional information.
Brief description of the drawings
Accompanying drawing 1 is a kind of three-dimensional information encryption method flow based on integration imaging and multi-chaos system proposed by the present invention
Figure
Accompanying drawing 2 is three-dimensional scenic recording process schematic diagram
Accompanying drawing 3 is micro- pattern matrix encrypted result schematic diagram, and the wherein lower right corner is partial enlarged drawing
Shown by reference numeral in above-mentioned accompanying drawing is：
1 three-dimensional scenic, 2 integration imagings shooting central depths plane, 3 microlens arrays, 4 micro- pattern matrixs.
It should be appreciated that above-mentioned accompanying drawing is simply schematical, it is not drawn to draw.
Embodiment
The following detailed description of a kind of three-dimensional information encryption method based on integration imaging and multi-chaos system of the invention
One exemplary embodiments, the present invention is further described specifically.It is necessarily pointed out that following examples are only used
It is described further in the present invention, it is impossible to be interpreted as limiting the scope of the invention, art skilled person's root
Some nonessential modifications and adaptations are made to the present invention according to the invention described above content, still fall within protection scope of the present invention.
The recording process of the three-dimensional scenic, according to integration imaging principle, three-dimensional scenic is clapped using camera array
Take the photograph, obtain the three-dimensional information of three-dimensional scenic, image primitive is obtained on CCD, and then synthesize micro- pattern matrix, as shown in Figure 2.M
×N=25 × 22 cameras parallel arranged in the vertical and horizontal directions（The camera number that wherein horizontal direction includes is 25,
The camera number that vertical direction includes is 22）, it is assumed that between adjacent cameras equidistantly, integration imaging shooting central depths plane arrives
The distance of camera array isl, thenlMeet：
（1）
Wherein,g =73.4mm is the distance between camera lens and CCD,f =50.0mm is the focal length of camera lens,
Can be in the hope ofl = 157mm。
Using the information of diverse location cameras record three-dimensional scenic different angle, 25 × 22 width images are obtained on CCD, it is right
Each image cuts unnecessary pixel, so as to obtain 25 × 22 width image primitives.Assuming that index isi,jCamera shooting three-dimensional scenic
Handling obtained image primitive isI i, j (p, q), therefore micro- pattern matrix is expressed as：
（2）
Wherein,h =400 be the number of pixels that each image member horizontal direction includes,v =400 be that each image member is hung down
Nogata to comprising number of pixels,p,qFor image primitive pixel coordinate,p=0,1 ..., 399,q = 0, 1, ...,
399.Shown in micro- pattern matrix such as accompanying drawing 3 (a).
The ciphering process of micro- pattern matrix, utilize Logistic chaos systems, Henon chaos systems and Chen chaos
System forms multi-chaos system, and micro- pattern matrix is encrypted, obtains the micro- pattern matrix of ciphertext.Assuming that micro- pattern matrix by R,
Tri- component compositions of G and B, wherein R component is expressed asF r , G representation in components isF g , B component is expressed asF b , and R, G and B component are big
It is small to beP×Q= 10000×8800.R component is encrypted using Logistic chaos systems.Specify two Logistic
Chaos system, it is expressed as：
（3）
（4）
Wherein,t=1,2 ..., 10000 × 8800,a =3.96 Hesb =3.85 be systematic parameter.Initial valuex11
= 0.2、x21= 0.7.Assuming thatF r Middle all pixels gray value sum isSumFr, it is rightSumFrHandled to obtain auxiliary keyr, thenrMeet：
（5）
Whereink=8 be imageF r Number of bits.To selecting initial conditionx11Withx21Enter line translation to obtainx1′ 1Withx2′ 1,
It meets：
（6）
（7）
Willx1′ 1Withx2′ 1As the final primary condition of Logistic chaos systems, it is iterated using formula (3), (4),
Generate two groups of long degree be 10000 × 8800 real number chaos sequencex1′ t Andx2′ t }.Tox1′ t Andx2′ t Become
Change, the improved real number chaos sequence of two groups of generationy1 t Andy2 t , it meets：
（8）
（9）
WillF r It is transformed to one-dimensional sequenceB r (t), using chaos sequencey1 t Andy2 t RightB r (t) handled, generation is new
SequenceB r ′(t), it meets：
（10）
Preferably, in order to avoid the mistake that ciphering process occurs, parameteru 1Value is taken as 12.
To micro- pattern matrix G componentsF g It is encrypted using Henon chaos systems, wherein Henon chaos systems are expressed as：
（11）
Wherein,t=1,2 ..., 10000 × 8800,c =1.4 Hesd =0.3 is systematic parameter.m 1=0 Hen 1=
0 is system initial value.Using two groups of long degree of formula (11) grey iterative generation be 10000 × 8800 sequencem t Andn t , willm t
Subsetm floor(P×Q/3)+2, m floor(P×Q/3)+3, …, m 2floor(P×Q/3)+2Withn t Subsetn 1, n 2, …,n floor(P×Q/3) +1Swap, two groups of sequences of generationm t ′Andn t ′}.WillF g It is converted into one-dimensional sequenceB g (t), utilize chaos
Sequencem t ′Andn t ′RightB g (t) handled, generate new sequenceB g ′(t), it meets：
（12）
Preferably, in order to avoid the mistake that ciphering process occurs, parameteru 2Value is taken as 12.
To micro- pattern matrix B componentF b It is encrypted using Chen chaos systems, wherein the dynamics of Chen chaos systems
Equation is expressed as：
（13）
Wherein,u 4 = 35、u 5 = 3、u 6=28 be systematic parameter.Appointing system initial valuex 1 = 0、y 1=0 Hez 1 =
0, using Chen chaos systems obtain three groups of chaos sequencesx t }、{y t Andz t } (t = 1, 2, ..., 10000×
8800).WillF b It is converted into one-dimensional sequenceB b (t), using chaos sequencex t Andy t RightB b (t) handled, generate new sequence
RowB b ′(t), it is represented by：
（14）
Preferably, in order to avoid the mistake that ciphering process occurs, parameteru 3Value is taken as 12.
By three one-dimensional sequencesB r ′(t)、B g ′(t) andB b ′(t) 10000 × 8800 matrixes are transformed to respectivelyF i ′(x, y)
(i=1,2,3) R, G, the micro- pattern matrix of B component ciphertext, are corresponded to respectively, and as shown in accompanying drawing 3 (b)-(e), combination producing is close
The micro- pattern matrix of textF′(x, y), it is represented by：
（15）
Wherein,m = 1, 2, ..., 10000, n = 1, 2, ..., 8800。
The present invention is adopted by the record of three-dimensional scenic and two processes of encryption of micro- pattern matrix according to integration imaging principle
Three-dimensional scenic is shot with camera array, obtains image primitive, and then synthesizes micro- pattern matrix, micro- pattern matrix is used more
Chaos system carries out image encryption, realizes the encryption of three-dimensional information.
Claims (3)
1. a kind of three-dimensional information encryption method based on integration imaging and multi-chaos system, it is characterised in that this method utilizes collection
Three-dimensional scenic is recorded into image-forming principle, and the three-dimensional information of acquisition is encrypted using multi-chaos system, this method
Two processes of encryption of record and micro- pattern matrix including three-dimensional scenic：The recording process of three-dimensional scenic, according to integration imaging
Principle, three-dimensional scenic is shot using camera array, obtain image primitive, and then synthesize micro- pattern matrix；Micro- pattern matrix
Ciphering process, using Logistic chaos systems, Henon chaos systems and Chen chaos systems form multi-chaos system, point
Other R, G, B component to micro- pattern matrix is encrypted, and the micro- pattern matrix of ciphertext is obtained, for decrypting.
2. a kind of three-dimensional information encryption method based on integration imaging and multi-chaos system according to claim 1, it is special
Sign is, the recording process of three-dimensional scenic, according to integration imaging principle, three-dimensional scenic is shot using camera array, obtained
Take the three-dimensional information of three-dimensional scenic, obtain image primitive on CCD, and then synthesize micro- pattern matrix, M × N number of camera it is horizontal with
The camera number that parallel arranged in vertical direction, wherein horizontal direction include is M, and the camera number that vertical direction includes is N, false
If between adjacent cameras equidistantly, the distance of integration imaging shooting central depths plane to camera array is l, then l meetsWherein, g is the distance between camera lens and CCD, and f is the focal length of camera lens, is remembered using diverse location camera
The information of three-dimensional scenic different angle is recorded, M × N width images are obtained on CCD, unnecessary pixel is cut to each image, so as to
Obtain M × N width image primitives, it is assumed that micro- pattern matrix of generation is F (x, y), and F (x, y) is expressed as：Wherein, Ii,j(p, q) represents (i, j) individual camera shooting three
Pth arranges the Pixel Information of q rows on the obtained image primitive of dimension scene process, i=0, and 1 ..., M-1, j=0,1 ..., N-1, p
=0,1 ..., h-1, q=0,1 ..., v-1, h be number of pixels that each image member horizontal direction includes, v is each image
The number of pixels that first vertical direction includes, δ (x, y) represent two-dimensional impulse function.
3. a kind of three-dimensional information encryption method based on integration imaging and multi-chaos system according to claim 1, it is special
Sign is, the ciphering process of micro- pattern matrix, utilizes Logistic chaos systems, Henon chaos systems and Chen chaos systems
Multi-chaos system is formed, micro- pattern matrix is encrypted, obtains the micro- pattern matrix of ciphertext, it is assumed that micro- pattern matrix is by R, G and B
Three component compositions, wherein R component is expressed as Fr, G representation in components is Fg, B component is expressed as Fb, and R, G and B component size are equal
For P × Q, R component is encrypted using Logistic chaos systems, two Logistic chaos systems is specified, represents respectively
For x1t+1=ax1t(1-x1t), x2t+1=bx2t(1-x2t), wherein, t=1,2 ..., P × Q, a and b be systematic parameter, it is assumed that
FrMiddle all pixels gray value sum is SumFr, obtains auxiliary key r to SumFr processing, then r meets r=mod
(SumFr,2k)/(2k- 1), wherein k is image FrNumber of bits, to selecting initial condition x11And x21Enter line translation and obtain x1 '1
With x2 '1, it meets x1 '1=(x11+ r)/2, x2 '1=(x21+ r)/2, by x1 '1With x2 '1As Logistic chaos systems most
Whole primary condition, is iterated, and two groups of long degree of generation are P × Q real number chaos sequence { x1 'tAnd { x2 't, to { x1 't}
{ x2 'tEnter line translation, generate two groups of improved real number chaos sequence { y1tAnd { y2t, it meetsBy FrIt is transformed to one-dimensional sequence
Arrange Br(t) chaos sequence { y1, is utilizedtAnd { y2tTo Br(t) handled, generate new sequence Br' (t), it meetsTo micro- pattern matrix G component FsgUtilize Henon
Chaos system is encrypted, and wherein Henon chaos systems are expressed asWherein, t=1,2 ..., P ×
Q, c and d are systematic parameter, m1And n1For system initial value, the sequence that two groups of long degree of Henon chaos systems grey iterative generation are P × Q is utilized
Arrange { mtAnd { nt, by { mtSubset { mfloor(P×Q/3)+2,mfloor(P×Q/3)+3,…,m2floor(P×Q/3)+2And { ntSubset
{n1,n2,…,nfloor(P×Q/3)+1Swap, generate two groups of sequence { mt' and { nt', by FgIt is converted into one-dimensional sequence Bg
(t) chaos sequence { m, is utilizedt' and { nt' to Bg(t) handled, generate new sequence Bg' (t), it meets, to micro- pattern matrix B component FbUtilize Chen
Chaos system is encrypted, and the kinetics equation of wherein Chen chaos systems is expressed as
Wherein, u4、u5、u6For systematic parameter, appointing system initial value x1、y1And z1, obtain three groups using Chen chaos systems and mix
Ignorant sequence { xt}、{ytAnd { zt, wherein t=1,2 ..., P × Q, by FbIt is converted into one-dimensional sequence Bb(t), utilize
Chaos sequence { xtAnd { ytTo Bb(t) handled, generate new sequence Bb' (t), it is represented byBy three one-dimensional sequence Br′(t)、Bg' (t) and
Bb' (t) is transformed to P × Q matrix Fs respectivelyi' (x, y), wherein i=1,2,3, the micro- pattern matrix F ' (x, y) of combination producing ciphertext can
It is expressed asWherein, m=1,2 ..., P, n=1,2 ..., Q, δ
(x, y) represents two-dimensional impulse function.
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| CN107274458B (en) * | 2017-06-15 | 2021-04-23 | 东北林业大学 | Quantum color image encryption algorithm based on chaotic system |
| CN108596989B (en) * | 2018-04-28 | 2019-03-08 | 四川大学 | A kind of optical image encryption method based on detour cylinder diffraction and compressed sensing |
| CN110110539B (en) * | 2019-05-10 | 2022-10-11 | 四川大学 | Two-dimensional code-based integrated imaging three-dimensional information encryption method |
| CN110139132A (en) * | 2019-06-21 | 2019-08-16 | 广东工业大学 | A kind of video information transmission method, apparatus and relevant device |
| CN112804049B (en) * | 2021-04-14 | 2021-07-06 | 南京信息工程大学 | Hexagonal CAP optical transmission method based on dynamic compression and multi-chaos encryption |
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