CN107800924A - Wavelet transform chaos Double random phase single channel coloured picture encryption method - Google Patents

Wavelet transform chaos Double random phase single channel coloured picture encryption method Download PDF

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CN107800924A
CN107800924A CN201710813026.1A CN201710813026A CN107800924A CN 107800924 A CN107800924 A CN 107800924A CN 201710813026 A CN201710813026 A CN 201710813026A CN 107800924 A CN107800924 A CN 107800924A
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mrow
msub
image
chaos
random phase
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CN107800924B (en
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唐晨
苏永钢
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Tianjin University
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Tianjin University
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N1/00—Scanning, transmission or reproduction of documents or the like, e.g. facsimile transmission; Details thereof
    • H04N1/44—Secrecy systems
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T3/00—Geometric image transformations in the plane of the image
    • G06T3/40—Scaling of whole images or parts thereof, e.g. expanding or contracting
    • G06T3/4084—Scaling of whole images or parts thereof, e.g. expanding or contracting in the transform domain, e.g. fast Fourier transform [FFT] domain scaling
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/001—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols using chaotic signals
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N1/00—Scanning, transmission or reproduction of documents or the like, e.g. facsimile transmission; Details thereof
    • H04N1/32—Circuits or arrangements for control or supervision between transmitter and receiver or between image input and image output device, e.g. between a still-image camera and its memory or between a still-image camera and a printer device
    • H04N1/32101—Display, printing, storage or transmission of additional information, e.g. ID code, date and time or title
    • H04N1/32144—Display, printing, storage or transmission of additional information, e.g. ID code, date and time or title embedded in the image data, i.e. enclosed or integrated in the image, e.g. watermark, super-imposed logo or stamp
    • H04N1/32149—Methods relating to embedding, encoding, decoding, detection or retrieval operations
    • H04N1/32267—Methods relating to embedding, encoding, decoding, detection or retrieval operations combined with processing of the image
    • H04N1/32272—Encryption or ciphering
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N1/00—Scanning, transmission or reproduction of documents or the like, e.g. facsimile transmission; Details thereof
    • H04N1/44—Secrecy systems
    • H04N1/448—Rendering the image unintelligible, e.g. scrambling
    • H04N1/4486—Rendering the image unintelligible, e.g. scrambling using digital data encryption
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T2207/00—Indexing scheme for image analysis or image enhancement
    • G06T2207/20—Special algorithmic details
    • G06T2207/20048—Transform domain processing
    • G06T2207/20064—Wavelet transform [DWT]

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  • Engineering & Computer Science (AREA)
  • Signal Processing (AREA)
  • Multimedia (AREA)
  • Computer Security & Cryptography (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Complex Calculations (AREA)
  • Compression Of Band Width Or Redundancy In Fax (AREA)
  • Facsimile Transmission Control (AREA)
  • Compression Or Coding Systems Of Tv Signals (AREA)

Abstract

The present invention relates to information security and optical information processing technical field, to realize that the single channel of coloured image is encrypted, substantially reduces the complexity of encryption system；Substantially increase key space, the security of lifting system；So that the management and transmission to random phase plate key become very convenient, common cryptography attack can be effective against.Therefore, the technical solution adopted by the present invention is, wavelet transform chaos Double random phase single channel coloured picture encryption method, step is as follows：1) the encryption part of described image：Coloured image to be encrypted is decomposed into red (R) first, green (G), blue (B) three Color Channels；Then, four frequency bands are decomposed into using a discrete wavelet transformer width gray scale carrier image of changing commanders；2) decryption portion of described image：Encrypted image carries out the inverse transformation of second of Gyrator conversion first, is then modulated by the conjugation plate of second piece of chaos random phase plate.Present invention is mainly applied to information security occasion.

Description

Wavelet transform chaos Double random phase single channel coloured picture encryption method
Technical field
The present invention relates to information security and optical information processing technical field, more particularly to it is a kind of based on wavelet transform and The single channel color image encrypting method of chaos Double random phase.
Background technology
Digital picture has as one of current most popular multimedia form in the field such as politics, economic, military, education And be widely applied.In Internet technology highly developed today, how to protect digital picture exempt from distort, bootlegging and biography Broadcast with important practical significance.Research to image encryption technology is as one of the focus in current information security field.
Because optical information processing technique has high processing rate, high degree of parallelism, can quickly realize convolution and related operation The advantages that, in recent years, the great interest of people is caused using optical means progress digital image encryption.In optical image encryption In technology, most it is representational be Javidi et al. propose the Double random phase method based on Optical processing system.Should Technology opens the frontier of optical image encryption, has been born large quantities of optical encryption new methods and new technology based on the technology. However, most of image encryption systems based on Double random phase method have the disadvantage that and deficiency：(1) when to be encrypted Image when being real value image, first piece of random phase plate at input plane can not do key, substantially reduce such The key space of system；(2) management to phase-plate key and transmission inconvenience；(3) such encryption system is to be directed to gray scale mostly Or bianry image design, it is impossible to it is directly used in encryption coloured image.
The content of the invention
For overcome the deficiencies in the prior art, the present invention is directed to propose image encryption method, the single channel of coloured image is realized Encryption, substantially reduce the complexity of encryption system；Substantially increase key space, the security of lifting system；So that to random phase The management and transmission of position plate key become very convenient, can be effective against common cryptography attack.Therefore, the present invention uses Technical scheme be wavelet transform chaos Double random phase single channel coloured picture encryption method, step is as follows：
1) the encryption part of described image：Coloured image to be encrypted is decomposed into red (R) first, green (G), blueness (B) three Color Channels；Then, four frequency bands are decomposed into using a discrete wavelet transformer width gray scale carrier image of changing commanders, and by its In three high frequency bands replace with three Color Channels of coloured image；Next, to the carrier comprising color image information Image carries out fresnel transform, and the image after conversion is modulated by first piece of chaos random phase plate, then the image after modulation is entered Row first time Gyrator is converted；Finally, the image after Gyrator conversion is modulated by second piece of chaos random phase plate, then is exchanged Image after system carries out second of Gyrator conversion, and the image after conversion is final encrypted image
2) decryption portion of described image：Encrypted image carries out the inverse transformation of second of Gyrator conversion first, then by The conjugation plate modulation of second piece of chaos random phase plate；Image after modulation carries out the inverse transformation of first time Gyrator conversion again, Then modulated by the conjugation version of first piece of chaos random phase plate；Next the inverse of fresnel transform is carried out to the image after modulation Conversion, wavelet transform is carried out to the image after conversion and obtains four frequency bands；Three high frequency bands are extracted and combined Coloured image after being decrypted.
In an example, comprise the following steps that：
(1) the encryption part of image：
1) coloured image f to be encrypted is decomposed into tri- Color Channel f of RGB firstR, fGAnd fB；Then using discrete small Wave conversion is by carrier image fZIt is decomposed into four frequency bands：
[LL1,LH1,HL1,HH1]=DWT (fZ) (1)
In formula, LL1,LH1,HL1,HH1What respectively carrier image obtained after wavelet decomposition is low-low, low-high, high-low, Height-high frequency band；
2) by LH1,HL1,HH1Replace with fR,fG,fB, and inverse discrete wavelet transform is carried out, obtain fused images fZRGB：
fZRGB=IDWT (LL1,fR,fG,fB) (2)
3)fZRGBAfter fresnel transform, it is multiplied with first piece of chaos random phase plate, then is converted through first time Gyrator After obtain preliminary encrypted result f 'ZRGB：
In formula, FrTλ,z() represents that wavelength is λ, apart from the fresnel transform for being z, first piece of random phase plate CRPM1By Lozi chaos systems generate, and the discrete mathematics form of Lozi chaos is as follows：
In formula, aL,bLFor the control parameter of Lozi chaos, xn,ynFor the input value of Lozi chaos, xn+1,yn+1Mixed for Lozi Ignorant output valve；
4)f′ZRGBIt is multiplied with second piece of chaos random phase plate, then is finally encrypted after second of Gyrator is converted As a result f "ZRGB：
In formula, second piece of random phase plate CRPM2Generated by Henon chaos systems, the discrete mathematics form of Henon chaos It is as follows：
In formula, aH,bHFor the control parameter of Henon chaos, xn,ynFor the input value of Henon chaos, xn+1,yn+1For The output valve of Henon chaos；
(2) decryption portion of image：
1) encrypted image f "ZRGBInverse transformation first through second Gyrator conversion, then with second piece of chaos random phase The conjugation plate of plate is multiplied, and is then total to again after the inverse transformation of first time Gyrator conversion with first piece of chaos random phase plate Yoke plate is multiplied, the fused images f after being decryptedDZRGB：
2) to fDZRGBCarry out low-low, low-high, height-low, the height-high frequency band LL after wavelet transform is decomposed2, LH2,HL2,HH2：
[LL2,LH2,HL2,HH2]=DWT (fDZRGB) (8)
3) by LH2,HL2,HH2Frequency band is combined the coloured image after can just being decrypted.
The features of the present invention and beneficial effect are：
Single channel encryption can be carried out to coloured image, enormously simplify the complexity of encryption system；It can make in system Key of two pieces of random phase plates all as decrypting process, considerably increase the key space of system；Using the random phase of chaos Position coding method causes management to phase-plate key and transmission to become very convenient；Coloured image is embedded into carrier image The security of coloured image can also be further ensured that；This encryption system can be effective against some common cryptography attacks.
Brief description of the drawings：
Fig. 1 (a) is encryption part principle schematic；
Fig. 1 (b) is decryption portion principle schematic；
Fig. 2 (a) is original color image；
Fig. 2 (b) is gray scale carrier image；
Fig. 2 (c) is encrypted image；
Fig. 2 (d) is decrypted image when all keys are correct；
Fig. 3 (a) is the initial value x of Lozi chaosLMistake and decrypted image during other key total correctnesses；
Fig. 3 (b) is the initial value y of Lozi chaosLMistake and decrypted image during other key total correctnesses；
Fig. 3 (c) is the control parameter a of Lozi chaosLMistake and decrypted image during other key total correctnesses；
Fig. 3 (d) is the control parameter b of Lozi chaosLMistake and decrypted image during other key total correctnesses；
Fig. 3 (e) is the initial value x of Henon chaosHMistake and decrypted image during other key total correctnesses；
Fig. 3 (f) is the initial value y of Henon chaosHMistake and decrypted image during other key total correctnesses；
Fig. 3 (g) is the control parameter a of Henon chaosHMistake and decrypted image during other key total correctnesses；
Fig. 3 (h) is the control parameter b of Henon chaosHMistake and decrypted image during other key total correctnesses；
Fig. 3 (i) is Fresel diffraction distance z mistakes and decrypted image during other key total correctnesses；
Fig. 3 (j) is lambda1-wavelength λ mistakes and decrypted image during other key total correctnesses；
Fig. 3 (k) is Gyrator translation-angles α1Mistake and decrypted image during other key total correctnesses；
Fig. 3 (l) is Gyrator translation-angles α2Mistake and decrypted image during other key total correctnesses；
Fig. 4 (a) is the encrypted image of shearing 12.5%；
Fig. 4 (b) is the encrypted image of shearing 25%；
Fig. 4 (c) is the encrypted image of shearing 50%；
Fig. 4 (d) is the coloured image that decryption obtains from Fig. 4 (a)；
Fig. 4 (e) is the coloured image that decryption obtains from Fig. 4 (b)；
Fig. 4 (f) is the coloured image that decryption obtains from Fig. 4 (c)；
Fig. 5 (a) is the encrypted image for adding the Gaussian noise that intensity is 0.2；
Fig. 5 (b) is the encrypted image for adding the Gaussian noise that intensity is 0.6；
Fig. 5 (c) is the encrypted image for adding the Gaussian noise that intensity is 1.0；
Fig. 5 (d) is the coloured image that decryption obtains from Fig. 5 (a)；
Fig. 5 (e) is the coloured image that decryption obtains from Fig. 5 (b)；
Fig. 5 (f) is the coloured image that decryption obtains from Fig. 5 (c)；
In accompanying drawing, the list of parts representated by each label is as follows：
DWT：Wavelet transform；IDWT：Inverse discrete wavelet transform；z：Fresel diffraction distance；CRPM1：First piece mixed Ignorant random phase plate；CRPM2：Second piece of chaos random phase plate；Translation-angle is α1Gyrator conversion；Become It is α to change angle2Gyrator conversion；L1,L2：Lens；Translation-angle is α1Inverse Gyrator conversion；Conversion Angle is α2Inverse Gyrator conversion；The conjugation plate of first piece of chaos random phase plate；Second piece of chaos The conjugation plate of random phase plate.
Embodiment
The invention provides a kind of single channel coloured image based on wavelet transform and chaos Double random phase Encryption method.In image encryption method, coloured image to be encrypted is decomposed into R, tri- Color Channels of G, B first；Then, use Discrete wavelet transformer is changed commanders R, and tri- Color Channels of G, B are embedded into a width gray scale carrier image；Finally, in improved Gyrator In transformation system, the carrier image comprising coloured image is encrypted using chaos Double random phase method.It is decrypted Journey can be treated simply as the inverse process of ciphering process.Image encryption method provided by the invention has the following advantages that：(1) coloured silk is realized The single channel encryption of color image, greatly reduce the complexity of encryption system；(2) improved Gyrator transformation systems make system In two pieces of random phase plates all as the key in decrypting process, significantly increase key space, improve the safety of system Property；(3) management to random phase plate key and transmission is caused to become very convenient using chaos random phase encoding method.Greatly Amount experiment shows that image encryption method provided by the invention can be effective against common cryptography attack.It is described below：
1) the encryption part of described image：In ciphering process, coloured image to be encrypted is decomposed into R, G, B tri- first Color Channel；Then, four frequency bands are decomposed into using a discrete wavelet transformer width gray scale carrier image of changing commanders, and by three therein High frequency band replaces with three Color Channels of coloured image；Next, the carrier image comprising color image information is carried out Fresnel transform, the image after conversion are modulated by first piece of chaos random phase plate, then the image after modulation is carried out for the first time Gyrator is converted；Finally, the image after Gyrator conversion is modulated by second piece of chaos random phase plate, then to the figure after modulation As carrying out second of Gyrator conversion, the image after conversion is final encrypted image.
2) decryption portion of described image：In decrypting process, encrypted image carries out second of Gyrator conversion first Inverse transformation, then modulated by the conjugation plate of second piece of chaos random phase plate；Image after modulation carries out first time Gyrator again The inverse transformation of conversion, then modulated by the conjugation version of first piece of chaos random phase plate；Next the image after modulation is carried out The inverse transformation of fresnel transform, wavelet transform is carried out to the image after conversion and obtains four frequency bands；By three high frequency bands Extract and combine the coloured image after can be obtained by decryption.
To make the object, technical solutions and advantages of the present invention clearer, embodiment of the present invention is made below further It is described in detail on ground.
Embodiment 1
A kind of single channel color image encrypting method based on wavelet transform and chaos Double random phase, it adds Close and decryption principle schematic is as shown in Figure 1.This method by the encryption part of image and decryption part packet into.
(1) the encryption part of image：
In ciphering process, coloured image to be encrypted is decomposed into R, tri- Color Channels of G, B first；Then, using from Dissipate wavelet transformation and one width gray scale carrier image is decomposed into four frequency bands, and three high frequency bands therein are replaced with into cromogram Three Color Channels of picture；Next, fresnel transform, the figure after conversion are carried out to the carrier image comprising color image information As being modulated by first piece of chaos random phase plate, then the conversion of first time Gyrator is carried out to the image after modulation；Finally, Image after Gyrator conversion is modulated by second piece of chaos random phase plate, then the image after modulation is carried out second Gyrator is converted, and the image after conversion is final encrypted image.
(2) decryption portion of image：
In decrypting process, encrypted image carries out the inverse transformation of second of Gyrator conversion first, then mixed by second piece The conjugation plate modulation of ignorant random phase plate；Image after modulation carries out the inverse transformation of first time Gyrator conversion again, then by The conjugation version modulation of one piece of chaos random phase plate；Next the inverse transformation of fresnel transform is carried out to the image after modulation, it is right Image after conversion carries out wavelet transform and obtains four frequency bands；Three high frequency bands are extracted and obtained with reference to can Coloured image after to decryption.
In summary, image encryption method provided by the invention can carry out single channel encryption to coloured image, significantly simple The complexity of encryption system is changed；Being introduced into for fresnel transform causes two pieces of random phase plates in system to be all used as decrypting process Key, considerably increase the key space of system；Using for chaos random phase encoding method causes to phase-plate key Management and transmission become very convenient；Way coloured image being embedded into carrier image can also be further ensured that coloured image Security；The combination of the above method allows encryption method provided by the invention to be effective against some common cryptographies to attack Hit.
Embodiment 2
The scheme in embodiment 1 is introduced in detail with reference to Fig. 1 design principles, it is described below：
A kind of single channel color image encrypting method based on wavelet transform and chaos Double random phase, it adds Close and decryption principle schematic is as shown in Figure 1.This method by the encryption part of image and decryption part packet into.Below with regard to this two The embodiment divided is described in detail respectively.
(1) the encryption part of image：
1) coloured image f to be encrypted is decomposed into tri- Color Channel f of RGB firstR, fGAnd fB；Then using discrete small Wave conversion is by carrier image fZIt is decomposed into four frequency bands：
[LL1,LH1,HL1,HH1]=DWT (fZ) (1)
In formula, LL1,LH1,HL1,HH1What respectively carrier image obtained after wavelet decomposition is low-low, low-high, high-low, Height-high frequency band；
2) by LH1,HL1,HH1Replace with fR,fG,fB, and inverse discrete wavelet transform is carried out, obtain fused images fZRGB：
fZRGB=IDWT (LL1,fR,fG,fB) (2)
3)fZRGBAfter fresnel transform, it is multiplied with first piece of chaos random phase plate, then is converted through first time Gyrator After obtain preliminary encrypted result f 'ZRGB：
In formula, FrTλ,z() represents that wavelength is λ, apart from the fresnel transform for being z, first piece of random phase plate CRPM1By Lozi chaos systems generate, and the discrete mathematics form of Lozi chaos is as follows：
In formula, aL,bLFor the control parameter of Lozi chaos, xn,ynFor the input value of Lozi chaos, xn+1,yn+1Mixed for Lozi Ignorant output valve；
4)f′ZRGBIt is multiplied with second piece of chaos random phase plate, then is finally encrypted after second of Gyrator is converted As a result f "ZRGB：
In formula, second piece of random phase plate CRPM2Generated by Henon chaos systems, the discrete mathematics form of Henon chaos It is as follows：
In formula, aH,bHFor the control parameter of Henon chaos, xn,ynFor the input value of Henon chaos, xn+1,yn+1For The output valve of Henon chaos；
(2) decryption portion of image：
1) encrypted image f "ZRGBInverse transformation first through second Gyrator conversion, then with second piece of chaos random phase The conjugation plate of plate is multiplied, and is then total to again after the inverse transformation of first time Gyrator conversion with first piece of chaos random phase plate Yoke plate is multiplied, the fused images f after being decryptedDZRGB：
2) to fDZRGBCarry out low-low, low-high, height-low, the height-high frequency band LL after wavelet transform is decomposed2, LH2,HL2,HH2：
[LL2,LH2,HL2,HH2]=DWT (fDZRGB) (8)
3) by LH2,HL2,HH2Frequency band is combined the coloured image after can just being decrypted.
In summary, image encryption method provided by the invention can carry out single channel encryption to coloured image, significantly simple The complexity of encryption system is changed；Being introduced into for fresnel transform causes two pieces of random phase plates in system to be all used as decrypting process Key, considerably increase the key space of system；Using for chaos random phase encoding method causes to phase-plate key Management and transmission become very convenient；Way coloured image being embedded into carrier image can also be further ensured that coloured image Security；The combination of the above method allows encryption method provided by the invention to be effective against some common cryptographies to attack Hit.
Embodiment 3
Feasibility checking is carried out to the scheme in Examples 1 and 2 with reference to specific accompanying drawing, it is described below：
The image encryption method that there is provided is implemented by the embedded carrier of a width coloured image (such as Fig. 2 (a) shown in) using the present invention After image (shown in such as Fig. 2 (b)), carrier image is encrypted to a width noise like image (shown in such as Fig. 2 (c)).Can by Fig. 2 (c) To find out, either the information of coloured image or carrier image is all hidden in noise like image, illustrates to use the system Encryption to coloured image is successful.
The image encryption method for implementing to provide using the present invention restores original color image from encrypted image, when Shown in result such as Fig. 2 (d) that all keys obtain when correct.It is former when all keys are correct it can be seen from Fig. 2 (d) Beginning image can be completely reduced.In addition, when some wrong cipher key and during correct other keys, decrypted result such as Fig. 3 (a) -3 (l) shown in.As can be seen here, the security of the system be can be with guaranteed.
Fig. 4 (a) -4 (c) is respectively cut up 12.5%, 25% and 50% encrypted image, and Fig. 4 (d) -4 (f) is respectively The image that decryption obtains from Fig. 4 (a) -4 (c).Fig. 5 (a) -5 (c) is respectively to add the Gauss that intensity is 0.2,0.6 and 1.0 to make an uproar The encrypted image of sound, Fig. 5 (d) -5 (f) are respectively the image that decryption obtains from Fig. 5 (a) -5 (c).It can be seen by Fig. 4 and Fig. 5 Go out, although encrypted image, by shearing attack and attacked by noise, the embodiment of the present invention remains able to decrypt the original of certain mass Beginning image.Therefore, the system is verified to the robustness of common attack, meets a variety of needs in practical application.
To the model of each device in addition to specified otherwise is done, the model of other devices is not limited the embodiment of the present invention, As long as the device of above-mentioned function can be completed.
It will be appreciated by those skilled in the art that accompanying drawing is the schematic diagram of a preferred embodiment, the embodiments of the present invention Sequence number is for illustration only, does not represent the quality of embodiment.
The foregoing is only presently preferred embodiments of the present invention, be not intended to limit the invention, it is all the present invention spirit and Within principle, any modification, equivalent substitution and improvements made etc., it should be included in the scope of the protection.

Claims (2)

1. a kind of wavelet transform chaos Double random phase single channel coloured picture encryption method, it is characterized in that, step is as follows：
1) the encryption part of described image：Coloured image to be encrypted is decomposed into red, green first, blue three colors are led to Road；Then, four frequency bands are decomposed into using a discrete wavelet transformer width gray scale carrier image of changing commanders, and three height therein is frequent Band replaces with three Color Channels of coloured image；Next, Fresnel is carried out to the carrier image comprising color image information Conversion, the image after conversion are modulated by first piece of chaos random phase plate, then carry out first time Gyrator to the image after modulation Conversion；Finally, the image after Gyrator conversion is modulated by second piece of chaos random phase plate, then the image after modulation is carried out Second of Gyrator conversion, the image after conversion is final encrypted image
2) decryption portion of described image：Encrypted image carries out the inverse transformation of second of Gyrator conversion first, then by second The conjugation plate modulation of block chaos random phase plate；Image after modulation carries out the inverse transformation of first time Gyrator conversion again, then Modulated by the conjugation version of first piece of chaos random phase plate；Next the inversion of fresnel transform is carried out to the image after modulation Change, carrying out wavelet transform to the image after conversion obtains four frequency bands；Three high frequency bands are extracted and combined Coloured image after to decryption.
2. wavelet transform chaos Double random phase single channel coloured picture encryption method as claimed in claim 1, it is special Sign is in an example, to comprise the following steps that：
(1) the encryption part of image：
1) coloured image f to be encrypted is decomposed into tri- Color Channel f of RGB firstR, fGAnd fB；Then discrete wavelet transformer is used Change commanders carrier image fZIt is decomposed into four frequency bands：
[LL1,LH1,HL1,HH1]=DWT (fZ) (1)
In formula, LL1,LH1,HL1,HH1What respectively carrier image obtained after wavelet decomposition is low-low, low-high, height-low, Gao-height Frequency band；
2) by LH1,HL1,HH1Replace with fR,fG,fB, and inverse discrete wavelet transform is carried out, obtain fused images fZRGB：
fZRGB=IDWT (LL1,fR,fG,fB) (2)
3)fZRGBAfter fresnel transform, it is multiplied with first piece of chaos random phase plate, then after first time Gyrator conversion To preliminary encrypted result f 'ZRGB：
<mrow> <msubsup> <mi>f</mi> <mrow> <mi>Z</mi> <mi>R</mi> <mi>G</mi> <mi>B</mi> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>=</mo> <msub> <mi>GT</mi> <msub> <mi>&amp;alpha;</mi> <mn>1</mn> </msub> </msub> <mrow> <mo>(</mo> <msub> <mi>FrT</mi> <mrow> <mi>&amp;lambda;</mi> <mo>,</mo> <mi>z</mi> </mrow> </msub> <mo>(</mo> <msub> <mi>f</mi> <mrow> <mi>Z</mi> <mi>R</mi> <mi>G</mi> <mi>B</mi> </mrow> </msub> <mo>)</mo> <mo>&amp;CenterDot;</mo> <msub> <mi>CRPM</mi> <mn>1</mn> </msub> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow>
In formula, FrTλ,z() represents that wavelength is λ, apart from the fresnel transform for being z, first piece of random phase plate CRPM1By Lozi Chaos system generates, and the discrete mathematics form of Lozi chaos is as follows：
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>x</mi> <mrow> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>a</mi> <mi>L</mi> </msub> <mo>&amp;CenterDot;</mo> <mrow> <mo>|</mo> <msub> <mi>x</mi> <mi>n</mi> </msub> <mo>|</mo> </mrow> <mo>+</mo> <msub> <mi>y</mi> <mi>n</mi> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>y</mi> <mrow> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>b</mi> <mi>L</mi> </msub> <mo>&amp;CenterDot;</mo> <msub> <mi>x</mi> <mi>n</mi> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow>
In formula, aL,bLFor the control parameter of Lozi chaos, xn,ynFor the input value of Lozi chaos, xn+1,yn+1For Lozi chaos Output valve；
4)f′ZRGBIt is multiplied with second piece of chaos random phase plate, then final encrypted result is obtained after second of Gyrator is converted f″ZRGB：
<mrow> <msubsup> <mi>f</mi> <mrow> <mi>Z</mi> <mi>R</mi> <mi>G</mi> <mi>B</mi> </mrow> <mrow> <mo>&amp;prime;</mo> <mo>&amp;prime;</mo> </mrow> </msubsup> <mo>=</mo> <msub> <mi>GT</mi> <msub> <mi>&amp;alpha;</mi> <mn>1</mn> </msub> </msub> <mrow> <mo>(</mo> <msubsup> <mi>f</mi> <mrow> <mi>Z</mi> <mi>R</mi> <mi>G</mi> <mi>B</mi> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>&amp;CenterDot;</mo> <msub> <mi>CRPM</mi> <mn>2</mn> </msub> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>5</mn> <mo>)</mo> </mrow> </mrow>
In formula, second piece of random phase plate CRPM2Generated by Henon chaos systems, the discrete mathematics form of Henon chaos is as follows：
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>x</mi> <mrow> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>a</mi> <mi>H</mi> </msub> <mo>&amp;CenterDot;</mo> <msubsup> <mi>x</mi> <mi>n</mi> <mn>2</mn> </msubsup> <mo>+</mo> <msub> <mi>y</mi> <mi>n</mi> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>y</mi> <mrow> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>b</mi> <mi>H</mi> </msub> <mo>&amp;CenterDot;</mo> <msub> <mi>x</mi> <mi>n</mi> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>6</mn> <mo>)</mo> </mrow> </mrow>
In formula, aH,bHFor the control parameter of Henon chaos, xn,ynFor the input value of Henon chaos, xn+1,yn+1For Henon chaos Output valve；
(2) decryption portion of image：
1) encrypted image f "ZRGBInverse transformation first through second Gyrator conversion, then with second piece of chaos random phase plate It is conjugated plate to be multiplied, the conjugation plate after the inverse transformation then converted through first time Gyrator again with first piece of chaos random phase plate It is multiplied, the fused images f after being decryptedDZRGB：
<mrow> <msub> <mi>f</mi> <mrow> <mi>D</mi> <mi>Z</mi> <mi>R</mi> <mi>G</mi> <mi>B</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>GT</mi> <mrow> <mo>-</mo> <msub> <mi>&amp;alpha;</mi> <mn>1</mn> </msub> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>GT</mi> <mrow> <mo>-</mo> <msub> <mi>&amp;alpha;</mi> <mn>2</mn> </msub> </mrow> </msub> <mo>(</mo> <msubsup> <mi>f</mi> <mrow> <mi>Z</mi> <mi>R</mi> <mi>G</mi> <mi>B</mi> </mrow> <mrow> <mo>&amp;prime;</mo> <mo>&amp;prime;</mo> </mrow> </msubsup> <mo>)</mo> <mo>&amp;CenterDot;</mo> <msubsup> <mi>CRPM</mi> <mn>2</mn> <mo>*</mo> </msubsup> <mo>)</mo> </mrow> <mo>&amp;CenterDot;</mo> <msubsup> <mi>CRPM</mi> <mn>1</mn> <mo>*</mo> </msubsup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>7</mn> <mo>)</mo> </mrow> </mrow>
2) to fDZRGBCarry out low-low, low-high, height-low, the height-high frequency band LL after wavelet transform is decomposed2,LH2, HL2,HH2：
[LL2,LH2,HL2,HH2]=DWT (fDZRGB) (8)
3) by LH2,HL2,HH2Frequency band is combined the coloured image after can just being decrypted.
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