CN105279729A - Three-dimensional information encryption method based on integral imaging and multi-chaotic system - Google Patents
Three-dimensional information encryption method based on integral imaging and multi-chaotic system Download PDFInfo
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- CN105279729A CN105279729A CN201510712155.2A CN201510712155A CN105279729A CN 105279729 A CN105279729 A CN 105279729A CN 201510712155 A CN201510712155 A CN 201510712155A CN 105279729 A CN105279729 A CN 105279729A
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Abstract
The invention proposes a three-dimensional information encryption method based on integral imaging and a multi-chaotic system. The method comprises two processes, that is, recording a three-dimensional scene and encrypting a micro-image array. According to the method, the three-dimensional scene is shot by using an integral imaging principle and a camera array, to obtain image primitive, and then the micro-image array is synthesized; the multi-chaotic system is formed by using a Logistic chaotic system, a Henon chaotic system, and a Chen chaotic system; and the micro-image array is encrypted, to obtain a ciphertext micro-image array. A three-dimensional information encryption effect with a high anti-interference and anti-attack capability is implemented.
Description
Technical field
The present invention relates to information security field, more particularly, particularly a kind of three-dimensional information encryption method based on integration imaging and multi-chaos system.
Background technology
Integration imaging is a kind of 3 D stereo technology utilizing microlens array recording and reconstruction three-dimensional scenic, and it comprises shooting and display two processes.Shooting process utilizes microlens array to obtain the steric information of three-dimensional scenic, generates micro-pattern matrix; Procedure for displaying, by the microlens array of micro-pattern matrix by identical parameters, reconstructs three-dimensional scenic in a distance.Chaos system is a kind of nonlinear system, and it shows complicated pseudo-randomness, and to starting condition and controling parameters extremely responsive, may be used for the fields such as information encryption.But there is problems such as causing chaos sequence randomness not good because Computer Precision is limited when utilizing chaos system to be encrypted, therefore only limited anti-interference and attacking ability, thus limit the application of chaos system in information encryption.
Summary of the invention
The present invention proposes a kind of three-dimensional information encryption method based on integration imaging and multi-chaos system, the method utilizes integration imaging principle to carry out record to three-dimensional scenic, and utilize multi-chaos system to be encrypted, realize the three-dimensional information cipher round results had compared with strong anti-interference and attacking ability.The method comprises the record of three-dimensional scenic and encryption two processes of micro-pattern matrix.Idiographic flow as shown in Figure 1.The recording process of three-dimensional scenic, according to integration imaging principle, adopts camera (containing video camera and camera) array to take three-dimensional scenic, obtains image primitive, and then synthesize micro-pattern matrix; The ciphering process of micro-pattern matrix, adopts multi-chaos system to carry out image encryption to micro-pattern matrix, obtains the micro-pattern matrix of ciphertext, reproduces for deciphering and integration imaging.
The recording process of described three-dimensional scenic, according to integration imaging principle, adopts camera array to take three-dimensional scenic, obtains the three-dimensional information of three-dimensional scenic, CCD obtains image primitive, and then synthesizes micro-pattern matrix, as shown in Figure 2.
m×
nindividual camera in the vertical and horizontal directions parallel arranged (the camera number that wherein horizontal direction comprises is
m, the camera number that vertical direction comprises is
n), suppose between adjacent cameras equidistant, integration imaging shooting central depths plane to the distance of camera array is
l, then
lmeet:
(1)
Wherein,
gfor the distance between camera lens and CCD,
ffor the focal length of camera lens.
Utilize the information of diverse location cameras record three-dimensional scenic different angles, CCD obtains
m×
nwidth image, the pixel unnecessary to every width image cropping, thus obtain
m×
nwidth image primitive.Suppose that index is
i,
jthe image primitive that obtains of camera shooting three-dimensional scenic process be
i i,j (
p,
q), therefore micro-pattern matrix is expressed as:
(2)
Wherein,
hfor the number of pixels that every width image primitive horizontal direction comprises,
vfor the number of pixels that every width image primitive vertical direction comprises,
p,
qfor image primitive pixel coordinate,
p=0,1 ...,
h-1,
q=0,1 ...,
v-1.
The ciphering process of described micro-pattern matrix, utilizes Logistic chaos system, Henon chaos system and Chen chaos system to form multi-chaos system, is encrypted, obtains the micro-pattern matrix of ciphertext to micro-pattern matrix.Suppose that micro-pattern matrix is made up of R, G and B tri-components, wherein R component is expressed as
f r , G representation in components is
f g , B representation in components is
f b , and R, G and B component size is
p×
q.Logistic chaos system is utilized to be encrypted to R component.Specify two Logistic chaos systems, be expressed as:
(3)
(4)
Wherein,
t=1,2 ...,
p×
q,
awith
bfor systematic parameter.Suppose
f r in all grey scale pixel value sums be
sumFr, right
sumFrcarry out process and obtain auxiliary key
r, then
rmeet:
(5)
Wherein
kfor image
f r number of bits.To selected initial condition
x1
1with
x2
1carry out conversion to obtain
x1
' 1with
x2
' 1, it meets:
(6)
(7)
Will
x1
' 1with
x2
' 1as the final starting condition of Logistic chaos system, utilize formula (3), (4) carry out iteration, generate two groups of length and be
p×
qreal number chaos sequence
x1
' t and
x2
' t .To
x1
' t and
x2
' t convert, generate two groups improve real number chaos sequences
y1
t and
y2
t , it meets:
(8)
(9)
Will
f r be transformed to one-dimensional sequence
b r (
t), utilize chaos sequence
y1
t and
y2
t right
b r (
t) process, generate new sequence
b r '(
t), it meets:
(10)
Preferably, in order to avoid the mistake that ciphering process occurs, parameter
u 1value is taken as 12.
To micro-pattern matrix G component
f g utilize Henon chaos system to be encrypted, wherein Henon chaos system is expressed as:
(11)
Wherein,
t=1,2 ...,
p×
q,
cwith
dfor systematic parameter,
m 1with
n 1for system initial value.Formula (11) grey iterative generation two groups of length are utilized to be
p×
qsequence
m t and
n t , will
m t subset
m floor(
p×
q/ 3)+2
,
m floor(
p×
q/ 3)+3
...,
m 2floor(
p×
q/ 3)+2
with
n t subset
n 1,
n 2...,
n floor(
p×
q/ 3)+1
exchange, generate two groups of sequences
m t 'and
n t '.Will
f g be converted into one-dimensional sequence
b g (
t), utilize chaos sequence
m t 'and
n t 'right
b g (
t) process, generate new sequence
b g '(
t), it meets:
(12)
Preferably, in order to avoid the mistake that ciphering process occurs, parameter
u 2value is taken as 12.
To micro-pattern matrix B component
f b utilize Chen chaos system to be encrypted, wherein the kinetics equation of Chen chaos system is expressed as:
(13)
Wherein,
u 4,
u 5,
u 6for systematic parameter.Appointing system initial value
x 1,
y 1with
z 1, utilize Chen chaos system obtain three groups of chaos sequences
x t ,
y t and
z t (
t=1,2 ...,
p×
q).Will
f b be converted into one-dimensional sequence
b b (
t), utilize chaos sequence
x t and
y t right
b b (
t) process, generate new sequence
b b '(
t), can be expressed as:
(14)
Preferably, in order to avoid the mistake that ciphering process occurs, parameter
u 3value is taken as 12.
By three one-dimensional sequence
b r '(
t),
b g '(
t) and
b b '(
t) be transformed to respectively
p×
qmatrix
f i '(
x,
y) (
i=1,2,3), the micro-pattern matrix of combination producing ciphertext
f '(
x,
y), can be expressed as:
(15)
Wherein,
m=1,2 ...,
p,
n=1,2 ...,
q.
The present invention is by the record of three-dimensional scenic and encryption two processes of micro-pattern matrix, camera array is adopted to take three-dimensional scenic according to integration imaging principle, obtain image primitive, and then synthesize micro-pattern matrix, adopt multi-chaos system to carry out image encryption to micro-pattern matrix, realize the encryption of three-dimensional information.
Accompanying drawing explanation
A kind of three-dimensional information encryption method process flow diagram based on integration imaging and multi-chaos system that accompanying drawing 1 proposes for the present invention
Accompanying drawing 2 is three-dimensional scenic recording process schematic diagram
Accompanying drawing 3 is micro-pattern matrix encrypted result schematic diagram, and wherein the lower right corner is partial enlarged drawing
Shown by reference numeral in above-mentioned accompanying drawing is:
1 three-dimensional scenic, 2 integration imaging shooting central depths planes, 3 microlens arrays, 4 micro-pattern matrixs.
Should be appreciated that above-mentioned accompanying drawing just schematically, do not draw in proportion.
Embodiment
The following detailed description of an exemplary embodiments of a kind of three-dimensional information encryption method based on integration imaging and multi-chaos system of the present invention, the present invention is further described specifically.What be necessary to herein means out is; following examples are only described further for the present invention; limiting the scope of the invention can not be interpreted as; this art skilled person makes some nonessential improvement and adjustment according to the invention described above content to the present invention, still belongs to protection scope of the present invention.
The recording process of described three-dimensional scenic, according to integration imaging principle, adopts camera array to take three-dimensional scenic, obtains the three-dimensional information of three-dimensional scenic, CCD obtains image primitive, and then synthesizes micro-pattern matrix, as shown in Figure 2.
m×
n=25 × 22 cameras in the vertical and horizontal directions parallel arranged (the camera number that wherein horizontal direction comprises is 25, the camera number that vertical direction comprises is 22), suppose between adjacent cameras equidistant, integration imaging shooting central depths plane to the distance of camera array is
l, then
lmeet:
(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 of
l=157mm.
Utilize the information of diverse location cameras record three-dimensional scenic different angles, CCD obtains 25 × 22 width images, the pixel unnecessary to every width image cropping, thus obtain 25 × 22 width image primitives.Suppose that index is
i,
jthe image primitive that obtains of camera shooting three-dimensional scenic process be
i i,j (
p,
q), therefore micro-pattern matrix is expressed as:
(2)
Wherein,
h=400 number of pixels comprised for every width image primitive horizontal direction,
v=400 number of pixels comprised for every width image primitive vertical direction,
p,
qfor image primitive pixel coordinate,
p=0,1 ..., 399,
q=0,1 ..., 399.Micro-pattern matrix is as shown in accompanying drawing 3 (a).
The ciphering process of described micro-pattern matrix, utilizes Logistic chaos system, Henon chaos system and Chen chaos system to form multi-chaos system, is encrypted, obtains the micro-pattern matrix of ciphertext to micro-pattern matrix.Suppose that micro-pattern matrix is made up of R, G and B tri-components, wherein R component is expressed as
f r , G representation in components is
f g , B representation in components is
f b , and R, G and B component size is
p×
q=10000 × 8800.Logistic chaos system is utilized to be encrypted to R component.Specify two Logistic chaos systems, be expressed as:
(3)
(4)
Wherein,
t=1,2 ..., 10000 × 8800,
a=3.96 Hes
b=3.85 is systematic parameter.Initial value
x1
1=0.2,
x2
1=0.7.Suppose
f r in all grey scale pixel value sums be
sumFr, right
sumFrcarry out process and obtain auxiliary key
r, then
rmeet:
(5)
Wherein
k=8 is image
f r number of bits.To selected initial condition
x1
1with
x2
1carry out conversion to obtain
x1
' 1with
x2
' 1, it meets:
(6)
(7)
Will
x1
' 1with
x2
' 1as the final starting condition of Logistic chaos system, utilize formula (3), (4) carry out iteration, generate two groups of length be 10000 × 8800 real number chaos sequence
x1
' t and
x2
' t .To
x1
' t and
x2
' t convert, generate two groups improve real number chaos sequences
y1
t and
y2
t , it meets:
(8)
(9)
Will
f r be transformed to one-dimensional sequence
b r (
t), utilize chaos sequence
y1
t and
y2
t right
b r (
t) process, generate new sequence
b r '(
t), it meets:
(10)
Preferably, in order to avoid the mistake that ciphering process occurs, parameter
u 1value is taken as 12.
To micro-pattern matrix G component
f g utilize Henon chaos system to be encrypted, wherein Henon chaos system is expressed as:
(11)
Wherein,
t=1,2 ..., 10000 × 8800,
c=1.4 Hes
d=0.3 is systematic parameter.
m 1=0 He
n 1=0 is system initial value.Utilize formula (11) grey iterative generation two groups of length be 10000 × 8800 sequence
m t and
n t , will
m t subset
m floor(
p×
q/ 3)+2
,
m floor(
p×
q/ 3)+3
...,
m 2floor(
p×
q/ 3)+2
with
n t subset
n 1,
n 2...,
n floor(
p×
q/ 3)+1
exchange, generate two groups of sequences
m t 'and
n t '.Will
f g be converted into one-dimensional sequence
b g (
t), utilize chaos sequence
m t 'and
n t 'right
b g (
t) process, generate new sequence
b g '(
t), it meets:
(12)
Preferably, in order to avoid the mistake that ciphering process occurs, parameter
u 2value is taken as 12.
To micro-pattern matrix B component
f b utilize Chen chaos system to be encrypted, wherein the kinetics equation of Chen chaos system is expressed as:
(13)
Wherein,
u 4=35,
u 5=3,
u 6=28 is systematic parameter.Appointing system initial value
x 1=0,
y 1=0 He
z 1=0, utilize Chen chaos system obtain three groups of chaos sequences
x t ,
y t and
z t (
t=1,2 ..., 10000 × 8800).Will
f b be converted into one-dimensional sequence
b b (
t), utilize chaos sequence
x t and
y t right
b b (
t) process, generate new sequence
b b '(
t), can be expressed as:
(14)
Preferably, in order to avoid the mistake that ciphering process occurs, parameter
u 3value is taken as 12.
By three one-dimensional sequence
b r '(
t),
b g '(
t) and
b b '(
t) be transformed to 10000 × 8800 matrixes respectively
f i '(
x,
y) (
i=1,2,3), the micro-pattern matrix of corresponding R, G, B component ciphertext respectively, as shown in accompanying drawing 3 (b)-(e), the micro-pattern matrix of combination producing ciphertext
f '(
x,
y), can be expressed as:
(15)
Wherein,
m=1,2 ..., 10000
, n=1,2 ..., 8800.
The present invention is by the record of three-dimensional scenic and encryption two processes of micro-pattern matrix, camera array is adopted to take three-dimensional scenic according to integration imaging principle, obtain image primitive, and then synthesize micro-pattern matrix, adopt multi-chaos system to carry out image encryption to micro-pattern matrix, realize the encryption of three-dimensional information.
Claims (8)
1. the three-dimensional information encryption method based on integration imaging and multi-chaos system, it is characterized in that, the method utilizes integration imaging principle to carry out record to three-dimensional scenic, and utilizing multi-chaos system to be encrypted the three-dimensional information obtained, the method comprises the record of three-dimensional scenic and encryption two processes of micro-pattern matrix.
2. a kind of three-dimensional information encryption method based on integration imaging and multi-chaos system according to claim 1, it is characterized in that, the recording process of three-dimensional scenic, according to integration imaging principle, adopt camera array to take three-dimensional scenic, obtain the three-dimensional information of three-dimensional scenic, CCD obtains image primitive, and then synthesize micro-pattern matrix
m×
nindividual camera in the vertical and horizontal directions parallel arranged (the camera number that wherein horizontal direction comprises is
m, the camera number that vertical direction comprises is
n), suppose between adjacent cameras equidistant, integration imaging shooting central depths plane to the distance of camera array is
l, then
lmeet
, wherein,
gfor the distance between camera lens and CCD,
ffor the focal length of camera lens, utilize the information of diverse location cameras record three-dimensional scenic different angles, CCD obtains
m×
nwidth image, the pixel unnecessary to every width image cropping, thus obtain
m×
nwidth image primitive, supposes that index is
i,
jthe image primitive that obtains of camera shooting three-dimensional scenic process be
i i,j (
p,
q), therefore micro-pattern matrix is expressed as
, wherein,
hfor the number of pixels that every width image primitive horizontal direction comprises,
vfor the number of pixels that every width image primitive vertical direction comprises,
p,
qfor image primitive pixel coordinate,
p=0,1 ...,
h-1,
q=0,1 ...,
v-1.
3. a kind of three-dimensional information encryption method based on integration imaging and multi-chaos system according to claim 1, it is characterized in that, the ciphering process of micro-pattern matrix, Logistic chaos system, Henon chaos system and Chen chaos system is utilized to form multi-chaos system, micro-pattern matrix is encrypted, obtain the micro-pattern matrix of ciphertext, suppose that micro-pattern matrix is made up of R, G and B tri-components, wherein R component is expressed as
f r , G representation in components is
f g , B representation in components is
f b , and R, G and B component size is
p×
q, utilize Logistic chaos system to be encrypted to R component, specify two Logistic chaos systems, be expressed as
,
, wherein,
t=1,2 ...,
p×
q,
awith
bfor systematic parameter, suppose
f r in all grey scale pixel value sums be
sumFr, right
sumFrcarry out process and obtain auxiliary key
r, then
rmeet
, wherein
kfor image
f r number of bits, to selected initial condition
x1
1with
x2
1carry out conversion to obtain
x1
' 1with
x2
' 1, it meets
,
, will
x1
' 1with
x2
' 1as the final starting condition of Logistic chaos system, carry out iteration, generate two groups of length and be
p×
qreal number chaos sequence
x1
' t and
x2
' t , to
x1
' t and
x2
' t convert, generate two groups improve real number chaos sequences
y1
t and
y2
t , it meets
,
, will
f r be transformed to one-dimensional sequence
b r (
t), utilize chaos sequence
y1
t and
y2
t right
b r (
t) process, generate new sequence
b r '(
t), it meets
.
4., according to claim 1 and a kind of three-dimensional information encryption method based on integration imaging and multi-chaos system according to claim 3, it is characterized in that, preferably, in order to avoid the mistake that ciphering process occurs, parameter
u 1value is taken as 12.
5., according to claim 1 and a kind of three-dimensional information encryption method based on integration imaging and multi-chaos system according to claim 3, it is characterized in that, to micro-pattern matrix G component
f g utilize Henon chaos system to be encrypted, wherein Henon chaos system is expressed as
, wherein,
t=1,2 ...,
p×
q,
cwith
dfor systematic parameter,
m 1with
n 1for system initial value, Henon chaos system grey iterative generation two groups of length are utilized to be
p×
qsequence
m t and
n t , will
m t subset
m floor(
p×
q/ 3)+2
,
m floor(
p×
q/ 3)+3
...,
m 2floor(
p×
q/ 3)+2
with
n t subset
n 1,
n 2...,
n floor(
p×
q/ 3)+1
exchange, generate two groups of sequences
m t 'and
n t ', will
f g be converted into one-dimensional sequence
b g (
t), utilize chaos sequence
m t 'and
n t 'right
b g (
t) process, generate new sequence
b g '(
t), it meets
.
6., according to claim 1, claim 3 and a kind of three-dimensional information encryption method based on integration imaging and multi-chaos system according to claim 5, it is characterized in that, preferably, in order to avoid the mistake that ciphering process occurs, parameter
u 2value is taken as 12.
7., according to claim 1 and a kind of three-dimensional information encryption method based on integration imaging and multi-chaos system according to claim 3, it is characterized in that, to micro-pattern matrix B component
f b utilize Chen chaos system to be encrypted, wherein the kinetics equation of Chen chaos system is expressed as
, wherein,
u 4,
u 5,
u 6for systematic parameter, appointing system initial value
x 1,
y 1with
z 1, utilize Chen chaos system obtain three groups of chaos sequences
x t ,
y t and
z t (
t=1,2 ...,
p×
q), will
f b be converted into one-dimensional sequence
b b (
t), utilize chaos sequence
x t and
y t right
b b (
t) process, generate new sequence
b b '(
t), can be expressed as
, by three one-dimensional sequence
b r '(
t),
b g '(
t) and
b b '(
t) be transformed to respectively
p×
qmatrix
f i '(
x,
y) (
i=1,2,3), the micro-pattern matrix of combination producing ciphertext
f '(
x,
y), can be expressed as
, wherein,
m=1,2 ...,
p, n=1,2 ...,
q.
8., according to claim 1, claim 3 and a kind of three-dimensional information encryption method based on integration imaging and multi-chaos system according to claim 7, it is characterized in that, preferably, in order to avoid the mistake that ciphering process occurs, parameter
u 3value is taken as 12.
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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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