CN104007649B - Color image encryption system and encryption and decryption method based on compression holography - Google Patents
Color image encryption system and encryption and decryption method based on compression holography Download PDFInfo
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Abstract
The invention relates to a color image encryption system and an encryption and decryption method based on compression holography and belongs to the technical field of optical image encryption. The system comprises a laser device, a first reflecting mirror, a second reflecting mirror, a beam expanding and collimating system, a beam splitter, a first spatial light modulator, a second spatial light modulator, a third spatial light modulator, a fourth spatial light modulator, a first random phase mask, a second random phase mask, a third random phase mask, a high-speed image collecting device and a computer. Firstly, gray level images of three channels of color images are extracted and are arranged at the positions with different distances to a CCD to serve as object information needing to be encrypted, the three random phase masks are tightly attached to the three gray level images and then are used for modulating light beams containing the object information, the three light beams are interfered by a beam combining prism and reference light to generate a holographic image, and the gray level images of the three channels are simultaneously encrypted on the same holographic image. Lastly, decryption is carried out with a TwIST algorithm, and color image composition is carried out. According to the color image encryption system and the encryption and decryption method based on the compression holography, the color images can be encrypted through one-time exposure, and the encryption efficiency and the confidentiality degree of the encrypted information are improved.
Description
Technical field
The present invention relates to optical image encryption technology, and in particular to a kind of color image encryption system holographic based on compression
And encrypting and decrypting method.
Background technology
With construction of information expressway and the development of Computer Science and Technology, in the mistake that the information of pursuit is quickly transmitted
The importance ensured information security in journey is gradually protruded.Due to the concurrency of optical Information Processing, rapidity and can provide
The advantage of various encryption dimensions, an important research of always image encryption technology is encrypted with optical means to image
Aspect.
Propose to be encrypted image using double random phase plate from Philippe Refregier and Bahram Javidi
Afterwards, optical image encryption technology obtains extensive concern with fast development.But because the complex conjugate for obtaining random phase plate is present
Difficulty, and complex function key is also unfavorable for transmission in itself, and Enrique Tajahuerce first proposed and utilize holographic technique
Optical image encryption is carried out, image is encrypted the characteristics of using holographic technique, and hologram after encrypting is real function
It is used directly for transmission.Because coloured image is more attractive in appearance and true, so color image encryption technology is also quickly sent out
Exhibition.Chen and Zhao realize the encrypted work of coloured image on the basis of Fresnel holographic using wavelength multiplexing.Recently they
Coding and the synthesis of colour information are proposed on the basis of Fresnel propagation and digital hologram again.2013, Wang and Zhao was utilized
Tangent technique realizes the asymmetric encryption of gray scale picture and colour picture.As David J.Brady are managed using compressed sensing
By hologram recording process is explained, compression is holographic theoretical as a kind of new digital hologram.Therefore, Hong Di propose base
In the holographic many image encryption technologies of compression, image to be encrypted is holographic by several pictures using scanning after wavelet transformation rarefaction
Encryption is in the hologram.With continuing to develop for optical image encryption technology, a large amount of encryption technologies are also used for coloured image
Encryption.But it is mostly to synthesize an encryption picture after being encrypted respectively to the image of three passages, is needed in decrypting process
Decrypted respectively after three encrypted images of passage are separated again, then combined color image again.This problem will significantly limit coloured silk
The encryption efficiency of chromatic graph piece.
The content of the invention
For the above-mentioned problems in the prior art, the present invention proposes a kind of coloured image holographic based on compression and adds
Close system and encrypting and decrypting method, three passage gray-scale maps of coloured image are extracted while being encrypted in a hologram
On, realize that single exposure encrypts the work of coloured image.
To achieve these goals, this invention takes following technical scheme.
The present invention be after the gray level image of three passages of coloured image is extracted be placed on apart from CCD it is different away from
From position on as the thing information for needing encryption, three random phase plates be close to after three gray level images for modulate containing
The light beam of thing information, these three light beams generate hologram by beam cementing prism with reference to the interference of light, realize three passage gray-scale maps
It is encrypted on a hologram simultaneously, so as to reach the purpose that single exposure encrypts coloured image.Hologram generating process can be with
Explained with compressive sensing theory, then the decryption of image can regard a solution procedure for indirect problem as.Using TwIST
Algorithm carries out image reconstruction.The three passage gray-scale maps rebuild finally are synthesized into a width coloured image, a width cromogram is completed
The decryption work of picture.
A kind of color image encryption system holographic based on compression, including：Laser, the first and second speculums, expands
Colimated light system, beam splitter, first, second, third and fourth spatial light modulator, first, second, and third random phase plate is high
Fast image capture device, computer.The light that laser sends is by after the reflection of the first speculum, sequentially passing through beam-expanding system and standard
Turn into directional light after straight lens, by being divided into four bundles light ripple after three beam splitter beam splitting：Wherein three beams light wave sequentially passes through three
Spatial light modulator (loading three passage gray-scale maps of coloured image respectively) and three random phase plates, through the light beam of ovennodulation
It is projected in high-speed image sampling equipment after closing beam through beam cementing prism, the object light as holographic recording；Another beam is by space
Optical modulator (loading the phase delay of 0, pi/2, π and 3 pi/2s respectively) realizes phase-modulation, the reference light as holographic recording.Most
Afterwards, object light is recorded with reference to interference of light generation hologram by high-speed image sampling equipment.
The high-speed image sampling equipment is the camera detector with CCD or CMOS as imageing sensor.
First, second, and third spatial light modulator is transmission-type amplitude type spatial light modulator.
4th spatial light modulator is reflective phase type spatial light modulator.
The first, second, and third random order phase-plate is orthogonal.
Image is encrypted using described image encryption system is comprised the following steps with the method for decryption：
Step 1, ciphering process.
Step 1.1, extracts three passage gray-scale maps of coloured image.
Step 1.2, arranging thing light path：Three gray-scale maps are carried in first, second, and third spatial light modulator respectively
On.First, second, and third random phase plate is used for modulating the beam phase containing thing information.
Step 1.3, sets reference path：The 4th spatial light modulator in reference path loads out of phase respectively, point
Not Chan Sheng 0, pi/2, the phase delay of π and 3 pi/2s, high-speed image sampling equipment 4 width holograms of the record with different phase shifts.
Step 1.4, complex value hologram is obtained using four-step phase-shifting method.
Step 2, decrypting process-TwIST algorithms.
Step 2.1, image initial：Make x0It is one 0 vector, iterations t is 1, and iteration stopping number of times is N.
Step 2.2, by x0Substitute into object functionObtain f (x0), wherein K is Fresnel
Corresponding operation matrix is propagated, λ is regularization coefficient, and Φ (x) is regularization matrix, and full variational function is used here.
Step 2.3, by x0Substitute into iterative formula x1=Γλ(x0)=Ψλ(x0+KT(y-Kx0)/s), wherein s is step-length, Ψλ
() is denoising function, and full variational function is also used here.
Step 2.4, by x1Substitute into object functionObtain f (x1)。
Step 2.5, compares f (x0) and f (x1) size.If f (x1)>f(x0), make s=s × 2, repeat step 2.3；It is no
Then proceed.
Step 2.6, updates iterations t=t+1.
Step 2.7, by xtAnd xt-1Substitute into iterative formula xt+1=(1- α) xt-1+(α-β)xt+βΓλ(xt), after being updated
xt+1。
Step 2.8, object function is substituted into by x after renewalObtain f (xt+1)。
Step 2.9, compares f (xt+1) and f (xt) size.If f (xt+1)>f(xt), make x0=xt-1, return to step
2.3；Otherwise proceed.
Step 2.10, compares the size of t and N, if t<N, then return to step 2.6；Otherwise output x is reconstruction image.
Step 3, colour picture synthesis.
Three passage gray-scale maps that algorithm is rebuild are synthesized according to RGB orders, final reconstruction coloured image is formed.
Beneficial effects of the present invention：Using technology of the present invention, colour can be realized in the case of single exposure
The encrypted work of image, substantially increases encryption efficiency, and be mutually added between three gray-scale maps of passage in ciphering process
It is close, improve the privacy degrees of encryption information.
Brief description of the drawings
Fig. 1 is system light path figure involved in the present invention；
Fig. 2 is decipherment algorithm block diagram；
Fig. 3 is coloured image to be encrypted；
Fig. 4 is three gray-scale maps of passage for extracting；
Fig. 5 is encrypted hologram；
Fig. 6 is three gray-scale maps after decryption；
Fig. 7 is the coloured image of synthesis.
In Fig. 1,2：1-laser, the 2-the first speculum, 3-beam-expanding system, 4-collimation lens, 5-beam splitter, 6-
Beam splitter, 7-beam splitter, the 8-the four spatial light modulator, the 9-the first spatial light modulator, the 10-the first random phase plate,
11-second space optical modulator, the 12-the second random phase plate, the 13-the three spatial light modulator, the 14-the three random phase
Plate, the 15-the second speculum, 16-beam splitter, 17-beam splitter, 18-beam splitter, 19-high-speed image sampling equipment.
Specific embodiment
The invention will be further described with reference to the accompanying drawings and detailed description.
Image encryption system based on holography as shown in figure 1, including：Laser 1, the first speculum 2, beam-expanding system 3,
Collimation lens 4, beam splitter 5, beam splitter 6, beam splitter 7, the 4th spatial light modulator 8, the first spatial light modulator 9, first with
Machine phase-plate 10, second space optical modulator 11, the second random phase plate 12, the 3rd spatial light modulator 13, the 3rd random phase
Position plate 14, the second speculum 15, beam splitter 16, beam splitter 17, beam splitter 18, high-speed image sampling equipment 19.
The light that laser 1 sends by after the reflection of the first speculum 2, sequentially pass through after beam-expanding system 3 and collimation lens 4 into
It is directional light, by being divided into four bundles light ripple after beam splitter 5,6 and 7 beam splitting：Wherein three beams sequentially passes through spatial light modulator respectively
9th, 11,13 and random phase plate 10,12,14 after, through the light beam after ovennodulation by speculum 15, beam splitter 16,17,18, into
It is the object light of holographic recording；Another beam is realized by spatial light modulator 8 (loading the phase delay of 0, pi/2, π and 3 pi/2s respectively)
Phase-modulation, the reference light as holographic recording.Last object light is set with reference to interference of light generation hologram by high-speed image sampling
Note.
The method for being encrypted decryption using system of the present invention includes herein below：
1. encrypt.
(1) arranging thing light path：As shown in figure 1, being close to placement successively in each object light light path of multi-beam interferometer
One spatial light modulator 9 and the first random phase plate 10, the random phase plate 12 of second space optical modulator 11 and second, the 3rd is empty
Between the random phase plate 14 of optical modulator 13 and the 3rd.In order to ensure cipher round results, random phase plate can be covered and treat spatial light
Full detail on modulator.
(2) reference path is set：The 4th spatial light modulator 8 is placed in the reference light light path of interferometer.
(3) the three passage gray-scale maps extracted from colour picture are loaded in spatial light modulator 9,11,13 respectively.
The three passage gray-scale maps for obtaining are as shown in Figure 4.
(4) in reference path, out of phase is loaded in spatial light modulator 8, produces the phase of 0, pi/2, π and 3 pi/2s to prolong
Late, this 4 holograms are recorded using high-speed image sampling equipment 9.
(5) the complex value hologram after being encrypted using four-step phase-shifting method, realizes single exposure encryption coloured image
Work.
Fig. 3 is a coloured image to be encrypted, by generating the encrypted image shown in Fig. 5 after encryption, can from Fig. 5
Go out, plaintext to be encrypted has changed into stabilization white noise, it is impossible to cleartext information is obtained from figure, illustrates that the invention realizes encryption work
Make.
2. decryption-TwIST algorithms.
Fig. 2 is AES block diagram, specifically includes following steps：
(1) image initial x0=0, iterations t are 1, and iteration stopping number of times is N.
(2) by x0Substitute into object functionObtain f (x0)。
(3) by x0Substitute into iterative formula x1=Γλ(x0)=Ψλ(x0+KT(y-Kx0)/s), s is step-length.
(4) by x1Substitute into object functionObtain f (x1)。
(5) f (x are compared0) and f (x1) size.If f (x1)>f(x0), s=s × 2 are made, repeat step 2.3 otherwise continues
Carry out.
(6) iterations t=t+1 is updated.
(7) by xtAnd xt-1Substitute into iterative formula xt+1=(1- α) xt-1+(α-β)xt+βΓλ(xt), x after being updatedt+1。
(8) x substitutes into object function after updatingObtain f (xt+1)。
(9) f (x are comparedt+1) and f (xt) size.If f (xt+1)>f(xt), make x0=xt-1, step 2.3 is returned to, otherwise
Proceed.
(10) size of t and N is compared, if t<N, then return to step 2.6, and it is reconstruction image otherwise to export x.
3. colour picture synthesis
Three passage gray-scale maps that algorithm is rebuild are synthesized according to RGB orders, final reconstruction coloured image is formed.
As shown in Figure 7.The Quality of recovery of Fig. 6 is evaluated using mean square error (MSE) evaluation function, be calculated MSE for 6.193 ×
10-5, therefore, reconstructed image quality is very good, further demonstrates the feasibility of the method.
Claims (7)
1. a kind of based on the color image encryption system for compressing holography, it is characterised in that including：Laser (1), the first speculum
(2), beam-expanding system (3), collimation lens (4), the first beam splitter (5), the second beam splitter (6), the 3rd beam splitter (7), the 4th is empty
Between optical modulator (8), the first spatial light modulator (9), the first random phase plate (10), second space optical modulator (11),
Two random phase plates (12), the 3rd spatial light modulator (13), the 3rd random phase plate (14), the second speculum (15), the 4th
Beam splitter (16), the 5th beam splitter (17), the 6th beam splitter (18), high-speed image sampling equipment (19)；Laser (1) sends
Light is by after the first speculum (2) reflection, sequentially pass through beam-expanding system (3) and collimation lens (4) turns into directional light, directional light afterwards
By being divided into four bundles light ripple after the first beam splitter (5), the second beam splitter (6) and the 3rd beam splitter (7) beam splitting：In four bundles light ripple
Three beams light wave is the first beam light wave, the second beam light wave, three beams light wave, and the first beam light wave sequentially passes through the first spatial light modulator
(9) and the first random phase plate (10), the second beam light wave sequentially passes through second space optical modulator (11) and the second random phase
Plate (12), three beams light wave sequentially passes through the 3rd spatial light modulator (13) and the 3rd random phase plate (14), then, by
The first beam light wave after one spatial light modulator (9) and the first random phase plate (10) modulation is by speculum (15), the second beam
Light wave and three-beam ripple are respectively through the 4th beam splitter (16), the 5th object light of beam splitter (17) as holographic recording；Four beams
Other a branch of light wave in light wave loads the phase delay of 0, pi/2, π and 3 pi/2s by the 4th spatial light modulator (8) respectively, real
Existing phase-modulation, by the 6th reference light of beam splitter (18) as holographic recording；Last object light is complete with reference to interference of light generation
Breath figure is recorded by high-speed image sampling equipment.
2. it is according to claim 1 a kind of based on the color image encryption system for compressing holography, it is characterised in that the height
Fast image capture device (19) is the camera detector with CCD or CMOS as imageing sensor.
3. a kind of color image encryption system holographic based on compression according to claim 1, it is characterised in that described the
First, second and the 3rd spatial light modulator be transmission-type amplitude type spatial light modulator.
4. a kind of color image encryption system holographic based on compression according to claim 1, it is characterised in that described the
Four spatial light modulators (8) are reflective phase type spatial light modulator.
5. a kind of color image encryption system holographic based on compression according to claim 1, it is characterised in that described the
One random phase plate (10), the second random phase plate (12) and the 3rd random phase plate (14) are orthogonal.
6. the method for the encrypting and decrypting that system described in a kind of application claim 1 is carried out, it is characterised in that comprise the following steps：
Step 1, encryption；
(1) arranging thing light path：It is close to place the first space light modulation successively in first object light light path of multi-beam interferometer
Device (9) and the first random phase plate (10), are close to place the second sky successively in second object light light path of multi-beam interferometer
Between optical modulator (11) and the second random phase plate (12), be close to put successively in the 3rd object light light path of multi-beam interferometer
Put the 3rd spatial light modulator (13) and the 3rd random phase plate (14)；
(2) reference path is set：The 4th spatial light modulator (8) is placed in the reference light light path of interferometer；
(3) respectively in the first spatial light modulator (9), second space optical modulator (11), the 3rd spatial light modulator (13)
Three passage gray-scale maps that loading is extracted from colour picture；
(4) in reference path, out of phase is loaded in the 4th spatial light modulator (8), produces the phase of 0, pi/2, π and 3 pi/2s
Postpone, 4 holograms produced by four outs of phase of loading using high-speed image sampling equipment (19) record；
(5) the complex value hologram after being encrypted using four-step phase-shifting method, realizes that single exposure encrypts the work of coloured image；
Step 2, is decrypted using TwIST algorithms；
(1) image initial x0=0, iterations t are 1, and iteration stopping number of times is N；
(2) by x0Substitute into object functionObtain f (x0)；
(3) by x0Substitute into iterative formula x1=Γλ(x0)=Ψλ(x0+KT(y-Kx0)/s), s is step-length；
(4) by x1Substitute into object functionObtain f (x1)；
(5) f (x are compared0) and f (x1) size；If f (x1)>f(x0), make s=s × 2, repeat step 2 (3), otherwise continue into
OK；
(6) iterations t=t+1 is updated；
(7) by xtAnd xt-1Substitute into iterative formula xt+1=(1- α) xt-1+(α-β)xt+βΓλ(xt), x after being updatedt+1；
(8) x substitutes into object function after updatingObtain f (xt+1)；
(9) f (x are comparedt+1) and f (xt) size；If f (xt+1)>f(xt), make x0=xt-1, return to step 2 (3), otherwise after
It is continuous to carry out；
(10) size of t and N is compared, if t<N, then return to step 2 (6), and it is reconstruction image otherwise to export x；
Step 3, colour picture synthesis；
Three passage gray-scale maps that algorithm is rebuild are synthesized according to RGB orders, final reconstruction coloured image is formed.
7. encrypting and decrypting method according to claim 6, it is characterised in that in order to ensure cipher round results, when light path is set
First random phase plate (10), the second random phase plate (12) and the 3rd random phase plate (14) are able to cover
Full detail in one spatial light modulator (9), second space optical modulator (11), the 3rd spatial light modulator (13).
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| CN106371304A (en) * | 2016-09-28 | 2017-02-01 | 华南师范大学 | Safe compressed holographic imaging system and method |
| CN107329389A (en) * | 2017-07-06 | 2017-11-07 | 河北工程大学 | One kind stacking diffraction imaging device |
| CN108063881B (en) * | 2017-12-27 | 2019-03-15 | 四川大学 | The bicylindrical random phase encoding encipher-decipher method of color image |
| CN108089425B (en) * | 2018-01-16 | 2019-09-24 | 电子科技大学 | A method of the elimination optical scanner holography defocus noise based on deep learning |
| CN113467210B (en) * | 2021-06-22 | 2022-05-31 | 安徽大学 | Multi-dimensional space-time optical field compression holographic encryption device and method |
| CN114755905B (en) * | 2022-04-07 | 2023-11-07 | 浙江师范大学 | High-resolution true color image projection display system |
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