CN112099329B - Multi-three-dimensional object encryption and decryption method based on cascade decryption phase template and binary encryption phase template - Google Patents
Multi-three-dimensional object encryption and decryption method based on cascade decryption phase template and binary encryption phase template Download PDFInfo
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Abstract
The invention discloses a multi-three-dimensional object encryption and decryption method based on a cascade decryption phase template and a binary encryption phase template, which extracts a three-dimensional object complex signal from a phase-shift digital hologram recording each three-dimensional object; multiplying the phase functions of all three-dimensional objects to form a composite lightwave signal, and multiplying the composite lightwave signal by a random phase function to form a composite lightwave signal in a noise form; the phase function of the composite light wave is used as a common encrypted phase template after being subjected to binary phase processing. And placing the encrypted phase template in a virtual light path, and generating two decrypted phase templates in a cascade structure form by using an improved phase recovery algorithm. And decrypting each three-dimensional object by placing the encryption phase template and the first and second decryption phase templates of the cascade structure on the specific plane of the virtual optical path. The invention has good safety and robustness.
Description
Technical Field
The invention relates to the technical field of three-dimensional object encryption and decryption, in particular to a multi-three-dimensional object encryption and decryption method based on a cascade decryption phase template and a binary encryption phase template.
Background
True three-dimensional displays are based on the optical holography principle, the wave front of light carrying object information is 'coded' into interference fringe records by the interference of light, and then the object related information is 'decoded' by the diffraction principle of light to reproduce the object related information. The rapid development of computer technology and related peripheral devices at the end of the 20 th century and the close integration of computer technology, optoelectronics and nonlinear optics have promoted the holographic technology to enter a completely new development stage of digitization. Compared with laser holography, digital holography has obvious advantages in the aspects of flexibility, quantitative analysis, transmission and the like. Digital holograms, which are represented as digital images in digital holography, are important carrying media for three-dimensional scenes of objects, and are closely related to digital reconstruction and three-dimensional presentation of hologram reproduction images. With the further increase of the three-dimensional display requirements, the three-dimensional information digital carrier becomes an important component of multimedia information.
The development of computer technology and communication technology and the popularization of portable intelligent terminal equipment make the acquisition and storage of multimedia information easier, and the convenient internet technology further promotes the wide spread and the sufficient communication of multimedia digital works and improves the political, economic and social values of the multimedia information. However, the security problem of multimedia digital works is also brought, and the security problem of multiple digital works needs to be solved in the application occasions of multi-user authentication, content distribution, encrypted information capacity expansion, secret information transmission efficiency improvement and the like.
Disclosure of Invention
The invention aims to provide a multi-three-dimensional object encryption and decryption method based on a cascade decryption phase template and a binary encryption phase template.
The technical scheme adopted by the invention is as follows:
the multi-three-dimensional object encryption and decryption method based on the cascade decryption phase template and the binary encryption phase template comprises an encryption step and a decryption step, and specifically comprises the following steps:
an encryption step:
s1-1, firstly, extracting three-dimensional object information expressed in a complex signal form from the phase-shift digital hologram recording each three-dimensional object;
s1-2, multiplying the phase function of each three-dimensional object to form a composite lightwave signal containing phase information of a plurality of three-dimensional objects, and multiplying the composite lightwave phase signal by a random phase function to form a composite lightwave signal containing the phase information of the plurality of three-dimensional objects in the form of noise;
s1-3, the phase function of the composite light wave is processed with binary phase, and the binary phase function is used as a common encryption phase template;
s1-4, placing the binary public encryption phase template in a virtual light path, and generating two decryption phase templates in a cascade structure form by using an improved phase recovery algorithm;
and (3) decryption:
s2-1, constructing a virtual light path, and respectively placing a common binary encryption phase template of a cascade structure and a first decryption phase template and a second decryption phase template corresponding to the first decryption phase template and the second decryption phase template for decrypting the three-dimensional object on a specific plane of the virtual light path;
s2-2, calculating a diffraction image of a specific observation surface in the virtual light path under the irradiation of parallel light to obtain an original three-dimensional object reconstructed image;
s2-3, changing the first and second decryption phase template pairs to obtain the reconstructed images of the three-dimensional objects;
further, the hologram recorded by the CCD plane in step S1-1 is represented as:
the diffracted light waves of the CCD plane three-dimensional object are obtained by calculation from four digital holograms with different phases:
wherein a represents the amplitude of the signal in the first embodiment,
indicating the phase.
Further, the composite lightwave signal S (x, y) in step S1-2 is represented by equation (6):
further, in step S1-3, S (x, y) is binary-phase processed, and the binary phase function is used as a common binary encryption phase template, i.e., the encryption phase template E ═ exp (ang (S))), where the function ang () represents the phase and bin () represents the binarization process.
Further, the first decrypted phase template in step S1-4
Satisfy the relation:
where the symbol |. I represents the modulo operation, FrT represents the Fresnel diffraction operation, λ is the wavelength, z1，z2Denotes the diffraction distance, gi(x, y) represents an amplitude signal corresponding to the ith three-dimensional object;
second decrypted phase template
As shown in equation (8):
wherein,
representing the phase corresponding to the ith three-dimensional object, and ang () representing the phase-taking function.
Further, in step S2-1, the virtual light path is that the incident laser is split into two paths by the beam splitter, one path reaches the object-forming object light wave by the mirror, the other path forms the reference light wave by the phase retarder, the object light wave and the reference light wave generate interference on the CCD plane, and the generated hologram is recorded by the CCD and stored in the computer in the form of digital image.
Further, the three-dimensional object i reconstructed signal in step S2-3 is represented as:
the quality of the reconstructed three-dimensional object is evaluated by a correlation coefficient, which is defined as shown in equation (10):
where O represents the three-dimensional object reconstructed from the four phase-shifted digital holograms and RO is the three-dimensional object decrypted using the decrypted phase template.
The invention adopts the technical scheme that firstly, three-dimensional object information expressed in a complex signal form is extracted from phase shift digital holograms recording each three-dimensional object; then multiplying the phase functions of the three-dimensional objects to form a composite lightwave signal containing phase information of the three-dimensional objects, and multiplying the composite lightwave phase signal by a random phase function to form a composite lightwave signal containing the phase information of the three-dimensional objects in a noise mode; the phase function of the composite light wave is subjected to binarization phase processing, and the binarization phase function is used as a common encryption phase template. The binary public encryption phase template is placed in a virtual light path, and two decryption phase templates in a cascade structure form are generated by using an improved phase recovery algorithm. By placing the encryption phase template and the first and second decryption phase templates of the cascade structure on the specific plane of the virtual optical path, each three-dimensional object can be decrypted. The test result shows that the method has good safety and robustness, the three-dimensional object reconstruction fails due to the fact that any one decryption phase template is missing or reconstruction parameters are not matched, the public encryption phase template has stronger anti-jamming capability on attacks such as Gaussian noise, multiplicative interference and the like due to the binary encryption phase template, and the encryption phase template can be reconstructed under the condition of partial shearing or any smearing.
Drawings
The invention is described in further detail below with reference to the accompanying drawings and the detailed description;
FIG. 1 is a flow chart of an encryption algorithm of the present invention;
FIG. 2 is a decryption flow diagram of the present invention;
FIG. 3 is a schematic diagram of phase shift digital holography according to the present invention;
FIG. 4 is a schematic diagram of the generation of an encryption phase template of the present invention;
FIG. 5 is a virtual optical path diagram for generating a decrypted phase template according to the present invention;
FIG. 6 is a schematic block diagram illustrating the generation of a first decrypted random phase template for decrypting an optical wave signal of a three-dimensional object according to the present invention;
FIG. 7 is a virtual light path for decrypting three-dimensional objects according to the present invention;
FIG. 8 is an original three-dimensional object, a phase-shifted digital hologram and a three-dimensional object reconstructed image of the present invention;
FIG. 9 is a public binary encryption phase template of the present invention;
FIG. 10 is a diagram of first and second decryption phase templates for decrypting respective three-dimensional objects in accordance with the present invention;
FIG. 11 is a representation of respective three-dimensional objects reconstructed using the decrypted phase template of the present invention;
FIG. 12 is a three-dimensional object 1 reconstructed image under different phase template combinations according to the present invention;
FIG. 13 is a graph showing the relationship between the diffraction distance deviation ratio and the similarity according to the present invention;
FIG. 14 is a schematic diagram of a reconstruction result of the binary encryption phase template after being partially cut and optionally smeared according to the present invention;
fig. 15 is a graph of the noise immunity of the binary encryption phase template of the present invention and a comparison of the binary encryption phase template to a non-binary encryption phase template.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present application clearer, the technical solutions of the embodiments of the present application will be clearly and completely described below with reference to the drawings in the embodiments of the present application.
As shown in one of fig. 1 to 15, the present invention discloses a multi-three-dimensional object encryption and decryption method using a cascade decryption phase template and a binary phase encryption phase template,
referring to fig. 1, the encrypting step includes:
(1) firstly, extracting three-dimensional object information expressed in a complex signal form from phase-shift digital holograms recording various three-dimensional objects;
(2) then multiplying the phase functions of the three-dimensional objects to form a composite lightwave signal containing phase information of the three-dimensional objects, and multiplying the composite lightwave phase signal by a random phase function to form a composite lightwave signal containing the phase information of the three-dimensional objects in a noise mode;
(3) the phase function of the composite light wave is subjected to binarization phase processing, and the binarization phase function is used as a common encryption phase template;
(4) placing the binary public encryption phase template in a virtual light path, and generating two decryption phase templates in a cascade structure form by using an improved phase recovery algorithm;
referring to fig. 2, the decryption step includes:
(1) building a virtual light path, and respectively placing a common binary encryption phase template of a cascade structure and a first decryption phase template and a second decryption phase template corresponding to the three-dimensional object for decryption on a specific plane of the virtual light path;
(2) calculating a diffraction image of a specific observation surface in a virtual light path under the irradiation of parallel light to obtain an original three-dimensional object reconstructed image;
(3) changing the first and second decryption phase template pairs to obtain the reconstructed images of the three-dimensional objects;
referring to fig. 3, which is a schematic diagram of phase-shift digital holography, incident laser is divided into two paths by a beam splitter, one path reaches an object through a reflector to form an object light wave, the other path forms a reference light wave through a phase retarder, the object light wave and the reference light wave generate interference on a CCD plane, and a generated hologram is recorded by a CCD and stored in a computer in the form of a digital image.
The distribution of the original light wave is:
the original object light wave is diffracted by distance d Fresnel, and the CCD plane object light wave can be expressed as:
the reference optical wave of the CCD plane can be expressed as:
where alpha denotes the phase shift, 0 is taken respectively,
the hologram recorded by the CCD plane can be expressed as:
the diffracted light waves of the CCD planar three-dimensional object can be obtained by calculation from four digital holograms with different phases.
Wherein a represents the amplitude of the signal in the first embodiment,
indicating the phase.
Referring to fig. 4, fig. 4 is a schematic diagram of generating an encryption phase template. In FIG. 4, a total of N three-dimensional objects are provided, each corresponding to four phase-shifted digital holograms I1～I4The distance between the object plane of the three-dimensional object and the CCD plane is diCalculating the object light wave signal of each three-dimensional object on the CCD plane according to the formula (5), and expressing the object light wave signal of each three-dimensional object on the CCD plane as
Wherein g isi(x, y) represents an amplitude signal,
representing a phase function.
The phase function corresponding to each three-dimensional object light wave
Multiplying (i ═ 1.. N), and multiplying the obtained product signal by a random phase function exp (jr) to obtain a composite lightwave signal containing a plurality of three-dimensional object information, wherein the composite lightwave signal is expressed in a random noise form. The composite lightwave signal is subjected to binary phase processing, and the binary phase function is used as a common encryption phase template.
In fig. 4, the composite lightwave signal S (x, y) can be represented by formula (6).
S (x, y) is binary phase processed, and a binary phase function is used as a common binary encryption phase template, i.e., the encryption phase template E ═ exp (bin (ang (S))).
Where the function ang () represents taking the phase and bin () represents the binarization process.
Referring to FIG. 5, the encrypted phase mask is placed in the virtual optical path shown in FIG. 5, and a modified phase recovery algorithm is used to generate a first decrypted phase mask D1And a second decrypted phase template D2。P1，P2，P3Respectively being a first decrypted phase template D1Binary encryption phase template E and second decryption phase template D2The plane of the device.
Referring to fig. 6, fig. 6 shows a first decryption phase template D for decrypting the i-th three-dimensional object optical wave signal1A functional block diagram is generated.
Referring to fig. 5 and 6, a first decrypted phase template D is generated using a modified phase recovery algorithm1，P1、P2And P3Respectively representing a first decryption phaseThe plane where the bit template, the binary phase encryption phase template and the second decryption phase template are located. The improved phase retrieval algorithm for adding the binary encryption phase template to generate the first decryption phase template comprises the following steps:
(1) observation plane P where first decryption phase template is located1The phase signal of (a) is initially set to a random phase signal;
(2) calculating the wavelength as lambda and the distance as z1Obtaining P by Fresnel diffraction forward transformation2A diffracted light wave complex signal of the observation surface;
(3)P2multiplying the diffraction light wave complex signal of the observation surface by a binary phase encryption phase template E, and calculating the wavelength to be lambda and the distance to be z2Obtaining P by Fresnel diffraction forward transform3Diffracted light wave signal of observation plane, P3The amplitude of the diffracted lightwave signal of the observation plane is represented by the amplitude signal g corresponding to the i-th three-dimensional objecti(x, y) replacing, and reserving the phase to obtain a diffraction light wave signal after amplitude constraint;
(4) calculating the distance z for the amplitude constrained signal2Obtaining an observation plane P by inverse diffraction of Fresnel2The complex amplitude signal of (a); the complex amplitude signal is multiplied by the conjugate of a binary encryption phase template E to calculate the distance z1Inverse Fresnel diffraction transformation to obtain P1A planar diffracted lightwave signal;
(5)P1the amplitude constraint of the planar diffraction light wave signal is 1, the phase is reserved, and an object plane complex signal after the amplitude constraint is obtained;
(6) the complex signal is used as the next initial object wave function for re-iteration until the algorithm converges or the iteration times are reached; the obtained P1The planar lightwave signal is used as a first decryption phase template D1。
To construct a complex signal U corresponding to a three-dimensional object iH(x, y) for example, the iteration ends, producing a first decrypted phase template
Satisfy the relation:
where the symbol |. I represents the modulo operation, FrT represents the Fresnel diffraction operation, λ is the wavelength, z1，z2Represents the diffraction distance. gi(x, y) represents an amplitude signal corresponding to the ith three-dimensional object.
Second decrypted phase template
Is generated as shown in equation (8).
Wherein,
representing the phase corresponding to the ith three-dimensional object, and ang () representing the phase-taking function.
Referring to fig. 7, a virtual optical path is constructed, and an encryption phase template E and a first decryption phase template D corresponding to a decrypted three-dimensional object i are placed on a specific plane of the virtual optical path1And a second decrypted phase template D2The three-dimensional object i can be reconstructed by illuminating it with parallel light. And changing the decryption phase template pair to reconstruct each three-dimensional object. The signal reconstructed from the three-dimensional object i in fig. 7 can be represented as:
the quality of the reconstructed three-dimensional object can be evaluated by the correlation coefficient, which is defined as shown in equation (10).
Where O represents the three-dimensional object reconstructed from the four phase-shifted digital holograms and RO is the three-dimensional object decrypted using the decrypted phase template.
Referring to fig. 8, fig. 8 shows three-dimensional objects and corresponding phase-shifted digital holograms, the image size being 1024 x 1024 pixels.
According to the concept of tomography, three-dimensional objects can be regarded as being formed by combining layered images at different depths, and referring to fig. 8, fig. 8 shows three-dimensional objects, a phase-shift digital hologram generated by a four-step phase shift method, and a three-dimensional object reconstructed from the digital hologram, respectively. Wherein every three-dimensional object contains two layers, represents object two layers nearest and furthest apart from CCD respectively, three-dimensional object 1: the diffraction distances between the object and the CCD plane are respectively 1000mm and 1050 mm; the three-dimensional object 2: the diffraction distances between the object and the CCD plane are 1100mm and 1160mm respectively; the three-dimensional object 3: the diffraction distances between the object and the CCD plane are 1200mm and 1250mm respectively; the wavelength of light was 532 nm.
Referring to fig. 9, fig. 9 shows a common binary encrypted phase template generated according to the method of the present invention, with a size of 1024 × 1024 pixels.
FIG. 10 is a graph of first and second decrypted phase templates corresponding to respective three-dimensional objects generated using a modified phase recovery algorithm with a 30, z iteration count1＝300mm，z2500mm, wavelength λ 532 nm. Reconstructing a three-dimensional object by using a common binary encryption phase template and a first decryption phase template and a second decryption phase template which decrypt each three-dimensional object, wherein the reconstruction distance of the three-dimensional object 1 is 1000mm and 1050mm respectively, and the wavelength lambda is 532 nm; the reconstruction distance of the three-dimensional object 2 is 1100mm and 1160mm respectively, and the wavelength lambda is 532 nm; the three-dimensional object 3 is reconstructed at distances of 1200mm and 1250mm, respectively, and the wavelength λ is 532 nm.
As shown in fig. 11, each three-dimensional object reconstructed using the decrypted phase template; calculating the similarity between the three-dimensional object reconstructed by using the encrypted phase template and the decrypted phase template and the three-dimensional object reconstructed from the original digital hologram as follows: the three-dimensional object 1: 0.9991, respectively; the three-dimensional object 2: 0.9991, respectively; the three-dimensional object 3: 0.9992.
for any three-dimensional object, any lack of any one of the phase templates for encryption or decryption will result in a failure of the three-dimensional object reconstruction. Referring to fig. 12, fig. 12 shows the decryption result of different combinations of phase templates for the three-dimensional object 1. Where E represents the common binary encryption phase template, D1 represents the first decryption phase template, and D2 represents the second decryption phase template.
Referring to FIG. 13, FIG. 13 shows the diffraction distance z for the three-dimensional object 1 as an example1And z2The relationship between the error deviation rate and the similarity of the reconstructed three-dimensional object, and the result of the similarity shows that the current z is1And z2If deviation occurs, the similarity of the reconstructed three-dimensional object is sharply reduced, and the original three-dimensional object cannot be reconstructed. Referring to fig. 14, fig. 14 is a reconstructed image of the three-dimensional object 1 after the binary encryption phase template is partially cut and optionally smeared.
Referring to fig. 15, taking the three-dimensional object 1 as an example, comparing the anti-noise performance of the binary encryption phase template with that of the non-binary encryption phase template, it can be seen that the reconstruction effect is better when the binary encryption phase template is used under the condition of superimposing gaussian noise and multiplicative noise with the same intensity.
The invention adopts the technical scheme that firstly, three-dimensional object information expressed in a complex signal form is extracted from phase shift digital holograms recording each three-dimensional object; then multiplying the phase functions of the three-dimensional objects to form a composite lightwave signal containing phase information of the three-dimensional objects, and multiplying the composite lightwave phase signal by a random phase function to form a composite lightwave signal containing the phase information of the three-dimensional objects in a noise mode; the phase function of the composite light wave is subjected to binarization phase processing, and the binarization phase function is used as a common encryption phase template. The binary public encryption phase template is placed in a virtual light path, and two decryption phase templates in a cascade structure form are generated by using an improved phase recovery algorithm. By placing the encryption phase template and the first and second decryption phase templates of the cascade structure on the specific plane of the virtual optical path, each three-dimensional object can be decrypted. The test result shows that the method has good safety and robustness, the three-dimensional object reconstruction fails due to the fact that any one decryption phase template is missing or reconstruction parameters are not matched, the public encryption phase template has stronger anti-jamming capability on attacks such as Gaussian noise, multiplicative interference and the like due to the binary encryption phase template, and the encryption phase template can be reconstructed under the condition of partial shearing or any smearing.
It is to be understood that the embodiments described are only a few embodiments of the present application and not all embodiments. The embodiments and features of the embodiments in the present application may be combined with each other without conflict. The components of the embodiments of the present application, generally described and illustrated in the figures herein, can be arranged and designed in a wide variety of different configurations. Thus, the detailed description of the embodiments of the present application is not intended to limit the scope of the claimed application, but is merely representative of selected embodiments of the application. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present application.
Claims (8)
1. The multi-three-dimensional object encryption and decryption method based on the cascade decryption phase template and the binary encryption phase template is characterized in that: the method comprises an encryption step and a decryption step, and specifically comprises the following steps:
an encryption step:
s1-1, firstly, extracting three-dimensional object information expressed in a complex signal form from the phase-shift digital hologram recording each three-dimensional object;
s1-2, multiplying the phase function of each three-dimensional object to form a composite lightwave signal containing phase information of a plurality of three-dimensional objects, and multiplying the composite lightwave phase signal by a random phase function to form a composite lightwave signal containing the phase information of the plurality of three-dimensional objects in the form of noise;
s1-3, the phase function S (x, y) of the composite light wave is processed with binary phase, and the binary phase function is used as a common encryption phase template;
s1-4, placing a common binary encryption phase template and a first decryption phase template and a second decryption phase template on a specific plane of the virtual optical path, obtaining a first decryption phase template D1 by using a phase recovery algorithm, and calculating to generate a second decryption phase template D2 by using the obtained first decryption phase template and the binary encryption phase template;
and (3) decryption:
s2-1, constructing a virtual light path, and respectively placing a common binary encryption phase template of a cascade structure and a first decryption phase template and a second decryption phase template corresponding to the first decryption phase template and the second decryption phase template for decrypting the three-dimensional object on a specific plane of the virtual light path;
s2-2, calculating a diffraction image of a specific observation surface in the virtual light path under the irradiation of parallel light to obtain an original three-dimensional object reconstructed image;
and S2-3, changing the first and second decryption phase template pairs to obtain the reconstructed image of each three-dimensional object.
2. The multi-three-dimensional object encryption and decryption method based on the cascade decryption phase template and the binary encryption phase template according to claim 1, characterized in that: the hologram recorded by the CCD plane in the phase-shift digital holography in step S1-1 is represented as:
where alpha denotes the phase shift, 0 is taken respectively,
-π，
the diffracted light waves of the CCD plane three-dimensional object are obtained by calculation from four digital holograms with different phases:
wherein a represents the amplitude of the signal in the first embodiment,
indicating the phase.
3. The multi-three-dimensional object encryption and decryption method based on the cascade decryption phase template and the binary encryption phase template according to claim 2, characterized in that: the composite lightwave signal S (x, y) in step S1-2 is represented by equation (6):
4. the multi-three-dimensional object encryption and decryption method based on the cascade decryption phase template and the binary encryption phase template according to claim 1, characterized in that: in step S1-3, the phase function S (x, y) of the composite lightwave is binary-phase processed, and the binary-phase function is used as a common binary encryption phase template, i.e., an encryption phase template E ═ exp (ang (S))), where the function ang () represents the phase and bin () represents the binarization process.
5. The multi-three-dimensional object encryption and decryption method based on the cascade decryption phase template and the binary encryption phase template according to claim 1, characterized in that: the step of generating the first decrypted phase template by the phase recovery algorithm of adding the binary encrypted phase template in the step S1-4 is as follows:
s1-4-1, observation plane P where first decryption phase template is located1The phase signal of (a) is initially set to a random phase signal;
s1-4-2, calculating the wavelength as lambda and the distance as z1Obtaining P by Fresnel diffraction forward transformation2A diffracted light wave complex signal of the observation surface;
S1-4-3，P2multiplying the diffraction light wave complex signal of the observation surface by a binary phase encryption phase template E, and calculating the wavelength to be lambda and the distance to be z2Obtaining P by Fresnel diffraction forward transform3Diffracted light wave signal of observation plane, P3Diffraction optical wave signal of observation surfaceAmplitude of the signal is represented by the amplitude signal g corresponding to the ith three-dimensional objecti(x, y) replacing, and reserving the phase to obtain a diffraction light wave signal after amplitude constraint;
s1-4-4, calculating the distance z of the signal after the amplitude constraint2Obtaining an observation plane P by inverse diffraction of Fresnel2The complex amplitude signal of (a); the complex amplitude signal is multiplied by the conjugate of a binary encryption phase template E to calculate the distance z1Inverse Fresnel diffraction transformation to obtain P1A planar diffracted lightwave signal;
S1-4-5，P1the amplitude constraint of the planar diffraction light wave signal is 1, the phase is reserved, and an object plane complex signal after the amplitude constraint is obtained;
s1-4-6, the complex signal is used as the next initial object wave function to iterate again until the algorithm converges or the iteration times are reached; the obtained P1The planar lightwave signal is used as a first decryption phase template D1。
6. The multi-three-dimensional object encryption and decryption method based on the cascade decryption phase template and the binary encryption phase template according to claim 4, characterized in that: first decryption phase template in step S1-4
Satisfy the relation:
wherein the symbol | | represents the modulo operation, FrT represents the Fresnel diffraction operation, λ is the wavelength, z1，z2Denotes the diffraction distance, gi(x, y) represents an amplitude signal corresponding to the ith three-dimensional object;
second decrypted phase template
As shown in equation (8):
wherein,
representing the phase corresponding to the ith three-dimensional object, and ang () representing the phase-taking function.
7. The multi-three-dimensional object encryption and decryption method based on the cascade decryption phase template and the binary encryption phase template according to claim 1, characterized in that: in step S2-1, the virtual light path is formed by dividing the incident laser beam into two paths by a beam splitter, one path reaches the object-forming object light wave by a reflector, the other path forms the reference light wave by a phase retarder, the object light wave and the reference light wave interfere with each other on the CCD plane, and the generated hologram is recorded by the CCD and stored in the computer in the form of a digital image.
8. The multi-three-dimensional object encryption and decryption method based on the cascade decryption phase template and the binary encryption phase template according to claim 4, characterized in that: the three-dimensional object i reconstructed signal in step S2-3 is represented as:
the quality of the reconstructed three-dimensional object is evaluated by a correlation coefficient, which is defined as shown in equation (10):
where O represents the three-dimensional object reconstructed from the four phase-shifted digital holograms and RO is the three-dimensional object decrypted using the decrypted phase template.
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