CN113343268A - Controllable amplification and decryption multi-three-dimensional scene encryption and decryption method - Google Patents
Controllable amplification and decryption multi-three-dimensional scene encryption and decryption method Download PDFInfo
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Abstract
The invention discloses a controllable amplification and decryption multi-three-dimensional scene encryption and decryption method, which comprises the steps of carrying out amplitude expansion and zero filling on each layered object field information of each three-dimensional scene, calculating Fresnel inverse diffraction light waves, and multiplying the Fresnel inverse diffraction light waves by spherical waves to obtain diffraction light wave signals amplified and reconstructed by the layers; superposing the amplified and reconstructed diffracted light wave signals of all layers to obtain the amplified and reconstructed diffracted light wave signals of all layers of each three-dimensional scene; adding the diffraction light wave signals of all three-dimensional scenes to obtain a composite diffraction light wave signal, and then superposing a composite noise signal to obtain a composite light wave signal with two phase functions; wherein, a phase function binary phase is processed and then used as a common encryption phase template; and combining the residual component of the composite light wave signal minus the binary phase template component with an interference suppression signal to form a complex signal for decryption, performing Fresnel diffraction inverse operation on the complex signal for decryption, decomposing a decrypted phase template 1 and a decrypted phase template 2, and matching the decrypted phase template with a common binary encrypted phase template to calculate Fresnel diffraction at a specific distance to obtain each layer of amplified decrypted reconstructed images corresponding to the three-dimensional scene. The invention has good safety and amplification reconstruction effect.
Description
Technical Field
The invention relates to the technical field of three-dimensional scene encryption and decryption, in particular to a controllable amplification and decryption multi-three-dimensional scene encryption and decryption method.
Background
Three-dimensional scenes described by depth maps and digital images are important information sources in the fields of machine vision, 3D television, 3D movies, 3D calls, 3D maps, 3D games, telemedicine and the like. The rapid development of computer and internet technologies brings convenience and brings security problems of three-dimensional scene digital carriers, and multiple three-dimensional scene encryption problems need to be solved in application occasions such as multi-user authentication, content distribution, secret information transmission efficiency improvement and the like. In addition, the problem of decryption, amplification and reconstruction of the three-dimensional scene needs to be solved for the original three-dimensional scene with low resolution.
Disclosure of Invention
The invention aims to provide a controllable multi-three-dimensional scene encryption and decryption method capable of amplifying and decrypting.
The technical scheme adopted by the invention is as follows:
a controllable amplification and decryption multi-three-dimensional scene encryption and decryption method comprises an encryption step and a decryption step, and comprises the following specific steps:
an encryption step:
step 1-1, layering a single three-dimensional scene by combining depth information;
step 1-2, performing amplitude expansion zero padding on each layer object field information according to the decryption amplification rate requirement, and calculating Fresnel inverse diffraction on layer information after amplitude expansion zero padding;
1-3, multiplying the Fresnel inverted diffraction light wave by a spherical wave to obtain an amplified and reconstructed diffraction light wave signal of the layer;
step 1-4, superposing the amplified and reconstructed diffracted light wave signals of all layers to obtain the amplified and reconstructed diffracted light wave signals of all layers corresponding to a single three-dimensional scene;
step 1-5, respectively calculating to obtain diffraction light wave signals of amplified reconstruction of each three-dimensional scene;
step 1-6, adding the diffraction light wave signals from each three-dimensional scene to obtain a composite diffraction light wave signal which comprises a plurality of three-dimensional scenes and is used for amplification and decryption, and superposing a complex noise signal on the composite diffraction light wave signal to form a composite light wave signal in a complex noise form comprising a plurality of three-dimensional scenes;
step 1-7, decomposing the composite lightwave signal into the sum of two phase functions, and quantizing the phase of any one phase function into a binary phase, wherein the binary phase function is used as a common encrypted binary phase template;
step 1-8, combining the residual component of the composite light wave signal minus the binary phase template component with the interference suppression signals of each three-dimensional scene to form a decryption complex signal corresponding to each three-dimensional scene, and decomposing the decryption complex signal into a decryption phase template 1 and a decryption phase template 2 after Fresnel diffraction inverse operation with the distance of Z1;
and (3) decryption:
1) calculating Fresnel diffraction with a distance z1 by using the decrypted phase template 1 and the decrypted phase template 2 corresponding to each three-dimensional scene;
2) and (3) calculating Fresnel diffraction of a specific diffraction distance by using the diffraction light wave signal in the decryption step 1 and the signal obtained by adding the public encryption binary phase template to obtain an amplified reconstructed image of each layer of the three-dimensional scene.
Further, as a preferred embodiment, the three-dimensional scene diffraction light wave signal S used for amplification reconstruction in the steps 1 to 4mThe calculation steps are as follows:
step 1-4-1, calculating the distance as diAnd obtaining a virtual surface light source signal E by Fresnel inverse diffraction with the optical wavelength of lambdai(x, y) which is calculated by the formula:
wherein ,fi(x0,y0) Representing a dilated zero-filled hierarchical image of the ith level of a single three-dimensional scene, diRepresenting the Fresnel diffraction distance of the layer from the observation plane;
step 1-4-2, the digital spherical wave signal formula is as follows:
wherein ,RcThe relationship between radius of curvature and magnification is:
where γ represents the magnification.
Step 1-4-3, calculating to obtain three-dimensional scene diffraction light wave signal S for amplification reconstructionmThe calculation formula is as follows:
wherein ,Ei(x, y) is a virtual surface light source signal, and L (x, y) is the curvature radius of the spherical wave; i represents the ith layer of the single three-dimensional scene; and N is the number of layers of a single three-dimensional scene.
Further, as a preferred embodiment, the complex lightwave signal S in the form of complex noise in steps 1-6 is calculated according to the following formula:
wherein M represents the number of three-dimensional scenes, M represents the mth three-dimensional scene, SmDiffracted lightwave signal for amplified reconstruction, R and
for random amplitude and random phase signals, RejφRepresenting a complex noise signal.
Further, as a preferred embodiment, the specific steps of steps 1-7 are as follows:
step 1-7-1, the composite lightwave signal is decomposed into a form of adding two phase functions, namely
wherein ,
step 1-7-2, phase f1Binarized to form a binary encryption phase E, i.e.
E＝bin(f1) (9)
Wherein bin (-) represents the binarization process,
step 1-7-3, the binary encryption phase template ejEAs a common encryption phase template, a binary encryption phase template ejEContains information common to a plurality of three-dimensional scenes.
Further, as a preferred embodiment, the specific steps of steps 1 to 8 are:
step 1-8-1, obtaining a complex signal D for decryption of a Kth three-dimensional scene, which is expressed as:
step 1-8-2, after performing fresnel diffraction inverse operation with a distance of Z1, performing light vector equimodular decomposition on the complex signal D for decryption to obtain a decrypted phase template 1 and a decrypted phase template 2, wherein the specific expression is as follows:
wherein ,
further, as a preferred embodiment, the formula for calculating the fresnel diffraction distance of the i-th layer of the three-dimensional scene in step 2-1 is as follows:
wherein dminIndicating the distance from the nearest object plane to the observation plane, dmaxRepresenting the farthest object plane to view plane distance, where Di is the depth value of the ith layer of the three-dimensional scene.
Further, as a preferred embodiment, the calculation formula of the amplified reconstructed signals of each layer of the three-dimensional scene in step 2-1 is as follows
Further, as a preferred embodiment, the quality of the reconstructed three-dimensional scene is evaluated by using a correlation coefficient NC, and the correlation coefficient formula is as follows:
wherein, O represents the original three-dimensional scene, and R is the three-dimensional scene decrypted by the binary phase template and the first and second decryption phase templates.
Further, as a preferred embodiment, the decryption step part performs three-dimensional scene reconstruction by decrypting the virtual optical path; the virtual decryption light path comprises two beam splitters and a photoelectric detector CCD, the two beam splitters and the photoelectric detector CCD are sequentially arranged, a decryption phase template 1 and a decryption phase template 2 are respectively arranged on different light incoming surfaces of a first beam splitter, a light outgoing surface of the first beam splitter is in butt joint with a light incoming surface of a second beam splitter through a spatial light modulator, a binary encryption phase template E is arranged at a specific light incoming surface of the second beam splitter, and the light outgoing surface of the second beam splitter is arranged corresponding to the photoelectric detector CCD.
According to the technical scheme, firstly, a single three-dimensional scene is combined with depth information for layering; each layer object field information is subjected to amplitude expansion and zero filling according to the decryption amplification rate requirement, and Fresnel inverse diffraction is calculated on the layer information subjected to amplitude expansion and zero filling; the inverse diffraction light wave is multiplied by the spherical wave to obtain a diffraction light wave signal of the layer for amplifying and reconstructing; superposing the amplified and reconstructed diffracted light wave signals of all layers to obtain the amplified and reconstructed diffracted light wave signals of all layers of a single three-dimensional scene; obtaining diffraction light wave signals for amplifying and reconstructing other three-dimensional scenes by the same method; and adding the diffracted light wave signals from the three-dimensional scenes to obtain a composite diffracted light wave signal which contains a plurality of three-dimensional scenes and can be used for amplification and decryption, and superposing a complex noise signal on the composite diffracted light wave signal to form a composite light wave signal containing a complex noise form of the three-dimensional scenes. The composite lightwave signal is decomposed into the sum of two phase functions, and any one of the phase functions is quantized into a binary phase, and the binary phase function is used as a common encrypted binary phase template. And combining the residual component of the composite light wave signal after subtracting the binary phase template component with the interference suppression signal of each three-dimensional scene to form a composite signal for decryption corresponding to each three-dimensional scene, and decomposing the composite signal into a decryption phase template 1 and a decryption phase template 2 after Fresnel diffraction inverse operation with the distance of Z1. And calculating Fresnel diffraction at a specific distance after cascade addition in a Fresnel domain by using a decryption phase template 1, a decryption phase template 2 and a common binary encryption phase template corresponding to the three-dimensional scene, and obtaining each layer of the three-dimensional scene to amplify and decrypt a reconstructed image. The test result shows that the proposed method has good safety and amplification reconstruction effect. The loss of the common binary encryption phase template or the decryption phase template can cause the failure of the reconstruction of the three-dimensional scene, and the binary encryption phase template can still reconstruct the three-dimensional scene to a certain extent under the condition of superposing certain intensity of Gaussian noise, and has stronger anti-attack performance on Gaussian low-pass filtering and contrast enhancement filtering.
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 multi-three dimensional scene encryption of the present invention;
FIG. 2 is a flowchart of the three-dimensional scene decryption process of the present invention;
FIG. 3 is a three-dimensional scene layer model of the present invention;
FIG. 4 is a schematic diagram of the generation of an amplified and decrypted diffracted light wave signal in a three-dimensional scene i;
FIG. 5 is a schematic block diagram of the encryption and decryption of multiple three-dimensional scenes according to the present invention;
FIG. 6 is a diagram of a decryption virtual lightpath of the present invention;
FIG. 7 is an original three-dimensional scene and layered image of the present invention;
FIG. 8 is a common binary encryption phase template of the present invention;
FIG. 9 illustrates first and second decryption phase templates for decrypting respective three-dimensional scenes in accordance with the present invention;
FIG. 10 is a representation of various three-dimensional scenes reconstructed using decrypted phase templates in accordance with the present invention;
FIG. 11 is a three-dimensional scene 1 reconstructed image under different phase template combinations according to the present invention;
FIG. 12 is a diagram of the binary encryption phase template anti-attack performance of the present invention;
FIG. 13 is a schematic diagram showing the comparison of anti-noise performance of the binary encryption phase template according to the present invention under different quantization bits;
FIG. 14 is a three-dimensional scene 1 reconstructed image with an error rate of 0.2% for the decrypted phase template D1 according to the present invention;
fig. 15 shows a three-dimensional scene 1 reconstructed image when the scene 1 decrypted phase template D2 error rate was 0.2%.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present application clearer, the technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present application.
The most key concept of the invention is as follows: a multi-three-dimensional scene encryption and decryption method based on Fresnel domain cascade phase template decomposition and controllable amplification and decryption. Firstly, layering a single three-dimensional scene by combining depth information; each layer object field information is subjected to amplitude expansion and zero filling according to the decryption amplification rate requirement, and Fresnel inverse diffraction is calculated on the layer information subjected to amplitude expansion and zero filling; the inverse diffraction light wave is multiplied by the spherical wave to obtain a diffraction light wave signal which is used for amplifying and reconstructing the layer; superposing the amplified and reconstructed diffracted light wave signals of all layers to obtain the amplified and reconstructed diffracted light wave signals of all layers of a single three-dimensional scene; obtaining diffraction light wave signals for amplifying and reconstructing other three-dimensional scenes by the same method; and adding the diffracted light wave signals from the three-dimensional scenes to obtain a composite diffracted light wave signal which contains a plurality of three-dimensional scenes and can be used for amplification and decryption, and superposing a complex noise signal on the composite diffracted light wave signal to form a composite light wave signal containing a complex noise form of the three-dimensional scenes. The composite lightwave signal is decomposed into the sum of two phase functions, and any one phase function is quantized into a binary phase, and the binary phase function is used as a common encrypted binary phase template. And combining the residual component of the composite optical wave signal after subtracting the binary phase template component with the interference suppression signal of each three-dimensional scene to form a composite signal for decryption corresponding to each three-dimensional scene, and decomposing the composite signal into a decryption phase template 1 and a decryption phase template 2 after Fresnel diffraction inverse operation with the distance of Z1. And calculating Fresnel diffraction at a specific distance after cascade addition in a Fresnel domain by using a decryption phase template 1, a decryption phase template 2 and a common binary encryption phase template corresponding to the three-dimensional scene, and obtaining each layer of the three-dimensional scene to amplify and decrypt a reconstructed image. The test result shows that the proposed method has good safety and amplification reconstruction effect. The loss of the common binary encryption phase template or decryption phase template can cause the failure of the reconstruction of the three-dimensional scene, and the binary encryption phase template can still reconstruct the three-dimensional scene to a certain extent under the condition of superposing certain intensity of Gaussian noise, and has stronger anti-attack performance on Gaussian low-pass filtering and contrast enhancement filtering. Can be widely applied to the field of data confidentiality.
As shown in one of fig. 1 to fig. 15, the invention discloses a multi-three-dimensional scene encryption method based on fresnel domain cascade phase template decomposition and controllable amplification decryption, which comprises an encryption step and a decryption step, and the specific steps are as follows:
an encryption step:
step 1-1, firstly, layering a single three-dimensional scene in combination with depth information;
step 1-2, performing amplitude expansion zero padding on each layer object field information according to the decryption amplification rate requirement, and calculating Fresnel inverse diffraction on layer information after amplitude expansion zero padding;
1-3, multiplying the inverse diffraction light wave by a spherical wave to obtain a diffraction light wave signal for amplifying and reconstructing the layer;
step 1-4, superposing the amplified and reconstructed diffracted light wave signals of all layers to obtain the amplified and reconstructed diffracted light wave signals of all layers of a single three-dimensional scene;
1-5, obtaining diffraction light wave signals for amplifying and reconstructing other three-dimensional scenes by using the same method;
and 1-6, adding the diffracted light wave signals from the three-dimensional scenes to obtain a composite diffracted light wave signal which comprises a plurality of three-dimensional scenes and can be used for amplification and decryption, and superposing a complex noise signal on the composite diffracted light wave signal to form a complex noise form composite light wave signal comprising a plurality of three-dimensional scenes.
And 1-7, decomposing the composite lightwave signal into the sum of two phase functions, quantizing the phase of any one phase function into a binary phase, and using the binary phase function as a common encrypted binary phase template.
And 1-8, combining the residual component of the composite light wave signal minus the binary phase template component with the interference suppression signals of all three-dimensional scenes to form a composite signal for decryption corresponding to each three-dimensional scene, and decomposing the composite signal into a decryption phase template 1 and a decryption phase template 2 after Fresnel diffraction inverse operation with the distance of Z1.
Referring to fig. 2, the decryption step includes:
step 2-1, calculating Fresnel diffraction with a distance z1 by using the decryption phase template 1 and the decryption phase template 2 corresponding to each three-dimensional scene;
step 2-2, calculating Fresnel diffraction of a specific diffraction distance by using the signal obtained by adding the diffracted light wave signal obtained in the step 1 and a public encryption phase template to obtain an amplified reconstructed image of each layer of the three-dimensional scene;
the following is a detailed description of the specific principles of the present invention:
referring to fig. 3 and 4, the three-dimensional scene fresnel diffraction light wave distribution that can be used for the magnified reconstruction is obtained using the layered model of the three-dimensional scene and the computed holography. Let the depth map of the three-dimensional scene be D (x, y) with a value of [0, 255%]Is shown in 8-bit grey scale. Calculating a histogram of the depth map, dividing the three-dimensional scene into a plurality of map layers according to a multi-threshold dividing method by combining the statistical characteristics of the histogram, and determining the depth value of the layer by combining the focused object field information of each map layer. The fresnel diffraction distance of the i-th layer three-dimensional scene can be expressed by formula (1). Wherein d isminIndicating the distance from the nearest object plane to the observation plane, dmaxRepresenting the distance from the farthest object plane to the observation plane. Where Di is the depth value of the ith layer of the three-dimensional scene.
FIG. 4 is a schematic diagram of a three-dimensional scene generated by a method of computer generated holography for amplifying and decrypting diffracted light wave signals. Fig. 3 is a three-dimensional scene layering model, and fig. 4 is a schematic diagram for generating an amplification and decryption diffraction light wave signal in a three-dimensional scene i.
By fi(x0,y0) Representing a dilated zero-filled hierarchical image of the ith level of a single three-dimensional scene, diRepresenting the Fresnel diffraction distance of the layer from the observation plane; calculating the distance as diAnd obtaining a virtual surface light source signal by Fresnel inverse diffraction with the optical wavelength of lambda.
A digital spherical wave signal L (x, y) is defined, and the relationship between the radius of curvature of the spherical wave and the magnification is represented by formula (4), where γ represents the magnification.
The three-dimensional scene diffraction lightwave signal used for the magnified reconstruction can be represented by equation (5).
Referring to fig. 5, fig. 5 is a schematic block diagram of generating a multi-three-dimensional scene encryption/decryption signal. The diffraction light wave signal S for amplifying and reconstructing each three-dimensional scene can be obtained according to the formula (5)mSetting a total of M three-dimensional scenes, wherein a subscript M represents an mth three-dimensional scene; and adding the diffracted light wave signals from the three-dimensional scenes to obtain a composite diffracted light wave signal which contains a plurality of three-dimensional scenes and can be used for amplification and decryption, and superposing a complex noise signal on the composite diffracted light wave signal to form a composite light wave signal containing a complex noise form of the three-dimensional scenes. The complex lightwave signal in the form of complex noise can be expressed as:
wherein R and
random amplitude and random phase signals.
The composite lightwave signal is decomposed into the sum of two phase functions, and any one of the phase functions is quantized into a binary phase, and the binary phase function is used as a common encrypted binary phase template.
S can be decomposed into the form of the addition of two phase functions, i.e.
wherein 
Will be in phase f1And carrying out binarization to form a binary encryption phase E.
E＝bin(f1) (9)
Wherein bin (·) represents the binarization process. The binary encryption phase template ejEThe encryption phase template includes information common to a plurality of three-dimensional scenes and is used as a common encryption phase template.
And combining the residual component of the composite lightwave signal after subtracting the binary phase template component with the interference suppression signal of each three-dimensional scene to form a composite signal for decryption corresponding to each three-dimensional scene. The complex signal D for decryption of the kth three-dimensional scene can be represented as:
and after Fresnel diffraction inverse operation with the distance of Z1, performing light vector equal-mode decomposition on the complex signal D to obtain a decryption phase template 1 and a decryption phase template 2.
wherein 
Referring to fig. 6, fig. 6 is a virtual light path diagram for enlarging and decrypting each three-dimensional scene. Calculating fresnel diffraction with a distance z1 using the decrypted phase template D1 and the decrypted phase template D2 corresponding to each three-dimensional scene; the obtained diffracted light wave signal and the public keyCalculating the diffraction distance gamma d by using the signal obtained by adding the encrypted phase templates EiAnd obtaining each layer of enlarged reconstructed image of the three-dimensional scene by Fresnel diffraction. The signal of the CCD plane can be expressed by the formula (10), and λ is the wavelength of light. BS denotes a beam splitter and SLM denotes a spatial light modulator.
The quality of the reconstructed three-dimensional scene can be evaluated by a correlation coefficient, which is defined as shown in equation (13).
Wherein O represents the original three-dimensional scene and R represents the reconstructed three-dimensional scene.
Referring to fig. 7, 7 and 8, fig. 7 shows an original grayscale image and a depth map of three-dimensional scenes and a layered image obtained according to the histogram property of the depth map, wherein the size of the image is 128 × 128 dots. Fig. 8 is a common binary encrypted phase template generated according to the method using three-dimensional scenes, each set at 4 x magnification, with size 512 x 512 points. Fig. 9 shows first and second decryption phase templates obtained by the method for the enlarged decryption of respective three-dimensional scenes; the distances between the three layers of the scene 1 and the observation plane are respectively as follows: 475mm, 485mm, 495 mm; the distances between the three layers of the scene 2 and the observation plane are respectively as follows: 474 mm; 485 mm; 494 mm; the distances between the three layers of the scene 3 and the observation plane are respectively 474 mm; 481 mm; 494 mm; the wavelength of light λ is 532 nm.
Referring to fig. 10, a three-dimensional scene is reconstructed by using a common binary encryption phase template and first and second decryption phase templates for decrypting each three-dimensional scene, wherein the reconstruction distances of three layers of the three-dimensional scene 1 are respectively: 1900mm, 1940mm, 1980mm, wavelength λ 532 nm; the three layer reconstruction distances of the three-dimensional scene 2 are respectively as follows: 1896mm, 1940mm, 1980mm, wavelength λ 532 nm; the reconstruction distances of the three layers of the three-dimensional scene 3 are 1884mm, 1924mm and 1976mm respectively, and the wavelength lambda is 532 nm. The magnification of each reconstruction layer of the three-dimensional scene is 4, and the size of a reconstruction image surface is 512 points by 512 points; the reconstructed image is represented by clear focused layer and fuzzy unfocused layer, and is consistent with the holographic three-dimensional display characteristics.
Calculating the similarity between the three-dimensional scene reconstructed by using the encryption phase template and the decryption phase template and the original three-dimensional scene respectively as follows: three-dimensional scene 1: 0.8342, respectively; three-dimensional scene 2: 0.8066, respectively; three-dimensional scene 3: 0.8219.
for any three-dimensional scene, the reconstruction of the three-dimensional scene fails due to the absence of any phase template for encryption or decryption. Referring to fig. 11, fig. 11 shows the decryption result under different combinations of phase templates by taking a three-dimensional scene 1 as an example. 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. 12, fig. 12 is a three-dimensional scene 1 reconstructed image of a binary encryption phase template under various attack situations.
Referring to fig. 13, in fig. 13, taking a three-dimensional scene 1 as an example, comparing noise resistance performance of a common binary encryption phase template under different quantization bits, it can be seen that, in the case of superimposing gaussian noise and multiplicative interference with the same intensity, using the binary encryption phase template has a clearer reconstruction effect.
Referring to fig. 14 and 15, fig. 14 shows a three-dimensional scene 1 reconstructed image when the scene 1 decrypted phase template D1 error rate is 0.2%, and fig. 15 shows a three-dimensional scene 1 reconstructed image when the scene 1 decrypted phase template D2 error rate is 0.2%, showing good key sensitivity.
According to the technical scheme, firstly, a single three-dimensional scene is combined with depth information for layering; each layer object field information is subjected to amplitude expansion and zero filling according to the decryption amplification rate requirement, and Fresnel inverse diffraction is calculated on the layer information subjected to amplitude expansion and zero filling; the inverse diffraction light wave is multiplied by the spherical wave to obtain a diffraction light wave signal of the layer for amplifying and reconstructing; superposing the amplified and reconstructed diffracted light wave signals of all layers to obtain the amplified and reconstructed diffracted light wave signals of all layers of a single three-dimensional scene; obtaining diffraction light wave signals for amplifying and reconstructing other three-dimensional scenes by the same method; and adding the diffracted light wave signals from the three-dimensional scenes to obtain a composite diffracted light wave signal which contains a plurality of three-dimensional scenes and can be used for amplification and decryption, and superposing a complex noise signal on the composite diffracted light wave signal to form a composite light wave signal containing a complex noise form of the three-dimensional scenes. The composite lightwave signal is decomposed into the sum of two phase functions, and any one of the phase functions is quantized into a binary phase, and the binary phase function is used as a common encrypted binary phase template. And combining the residual component of the composite light wave signal after subtracting the binary phase template component with the interference suppression signal of each three-dimensional scene to form a composite signal for decryption corresponding to each three-dimensional scene, and decomposing the composite signal into a decryption phase template 1 and a decryption phase template 2 after Fresnel diffraction inverse operation with the distance of Z1. And calculating Fresnel diffraction at a specific distance after cascade addition in a Fresnel domain by using a decryption phase template 1, a decryption phase template 2 and a common binary encryption phase template corresponding to the three-dimensional scene, and obtaining each layer of the three-dimensional scene to amplify and decrypt a reconstructed image. The test result shows that the proposed method has good safety and amplification reconstruction effect. The loss of the common binary encryption phase template or the decryption phase template can cause the failure of the reconstruction of the three-dimensional scene, and the binary encryption phase template can still reconstruct the three-dimensional scene to a certain extent under the condition of superposing certain intensity of Gaussian noise, and has stronger anti-attack performance on Gaussian low-pass filtering and contrast enhancement filtering.
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 (9)
1. A controllable amplification and decryption multi-three-dimensional scene encryption and decryption method is characterized by comprising the following steps: the method comprises an encryption step and a decryption step, and comprises the following specific steps:
an encryption step:
step 1-1, layering a single three-dimensional scene by combining depth information;
step 1-2, performing amplitude expansion zero padding on each layer object field information according to the decryption amplification rate requirement, and calculating Fresnel inverse diffraction on layer information after amplitude expansion zero padding;
1-3, multiplying the Fresnel inverted diffraction light wave by a spherical wave to obtain an amplified and reconstructed diffraction light wave signal of the layer;
step 1-4, superposing the amplified and reconstructed diffracted light wave signals of all layers to obtain the amplified and reconstructed diffracted light wave signals of all layers corresponding to a single three-dimensional scene;
step 1-5, respectively calculating to obtain diffraction light wave signals of amplified reconstruction of each three-dimensional scene;
step 1-6, adding the diffraction light wave signals from each three-dimensional scene to obtain a composite diffraction light wave signal which comprises a plurality of three-dimensional scenes and is used for amplification and decryption, and superposing a complex noise signal on the composite diffraction light wave signal to form a composite light wave signal in a complex noise form comprising a plurality of three-dimensional scenes;
step 1-7, decomposing the composite lightwave signal into the sum of two phase functions, quantizing the phase of any one phase function into a binary phase, and using the binary phase function as a common encrypted binary phase template;
step 1-8, combining the residual component of the composite light wave signal minus the binary phase template component with the interference suppression signals of each three-dimensional scene to form a decryption complex signal corresponding to each three-dimensional scene, and decomposing the decryption complex signal into a decryption phase template 1 and a decryption phase template 2 after Fresnel diffraction inverse operation with the distance of Z1;
and (3) decryption:
step 2-1, calculating a Fresnel diffraction light wave signal with a distance z1 by using the decryption phase template 1 and the decryption phase template 2 corresponding to each three-dimensional scene;
and 2-2, calculating Fresnel diffraction of a specific diffraction distance by using a Fresnel diffraction light wave signal obtained by decryption calculation and a signal obtained by adding a public encryption binary phase template to obtain an amplified reconstructed image of each layer of the three-dimensional scene.
2. The encryption and decryption method for the controllable amplification and decryption of the multiple three-dimensional scenes according to claim 1, characterized in that: three-dimensional scene diffraction light wave signal S for amplification reconstruction in steps 1-4mThe calculation steps are as follows:
step 1-4-1, calculating the distance as diAnd obtaining a virtual surface light source signal E by Fresnel inverse diffraction with the optical wavelength of lambdai(x, y) which is calculated by the formula:
wherein ,fi(x0,y0) Representing a dilated zero-filled hierarchical image of the ith level of a single three-dimensional scene, diRepresenting the Fresnel diffraction distance of the layer from the observation plane;
step 1-4-2, the digital spherical wave signal formula is as follows:
wherein ,RcThe relationship between radius of curvature and magnification is:
wherein γ represents a magnification;
step 1-4-3, calculating to obtain three-dimensional scene diffraction light wave signal S for amplification reconstructionmThe calculation formula is as follows:
wherein ,Ei(x, y) is a virtual surface light source signal, and L (x, y) is a digital spherical wave; i represents the ith layer of the single three-dimensional scene; and N is the number of layers of a single three-dimensional scene.
3. The encryption and decryption method for the controllable amplification and decryption of the multiple three-dimensional scenes according to claim 2, characterized in that: the calculation formula of the complex optical wave signal S in the form of complex noise in steps 1-6 is as follows:
wherein M represents the number of three-dimensional scenes, M represents the mth three-dimensional scene, SmDiffracted lightwave signal for amplified reconstruction, R and
for random amplitude and random phase signals, RejφRepresenting a complex noise signal.
4. The encryption and decryption method for the controllable amplification and decryption of the multiple three-dimensional scenes according to claim 3, characterized in that: the specific steps of steps 1-7 are as follows:
step 1-7-1, the composite lightwave signal is decomposed into a form of adding two phase functions, namely
wherein ,
step 1-7-2, phase f1Binarizing to form a binary sumIn a dense phase E, i.e.
E＝bin(f1) (9)
Wherein bin (·) represents binarization processing;
step 1-7-3, the binary encryption phase template ejEAs a common encryption phase template, a binary encryption phase template ejEContains information common to a plurality of three-dimensional scenes.
5. The encryption and decryption method for the controllable amplification and decryption of the multiple three-dimensional scenes according to claim 4, wherein: the steps 1-8 comprise the following specific steps:
step 1-8-1, obtaining a complex signal D for decryption of a Kth three-dimensional scene, which is expressed as:
step 1-8-2, after performing fresnel diffraction inverse operation with a distance of Z1, performing light vector equimodular decomposition on the complex signal D for decryption to obtain a decrypted phase template 1 and a decrypted phase template 2, wherein the specific expression is as follows:
wherein ,
6. the encryption and decryption method for the controllable amplification and decryption of the multiple three-dimensional scenes according to claim 5, wherein: the calculation formula of the Fresnel diffraction distance of the ith layer of three-dimensional scene in the step 2-1 is as follows:
wherein dminIndicating the distance from the nearest object plane to the observation plane, dmaxRepresents the farthest object plane to view plane distance, where di is the depth value of the ith layer of the three-dimensional scene.
7. The encryption and decryption method for the controllable amplification and decryption of the multiple three-dimensional scenes according to claim 6, wherein: the calculation formula of the amplified reconstructed signals of all layers of the three-dimensional scene in the step 2-1 is as follows
8. The encryption and decryption method for the controllable amplification and decryption of the multiple three-dimensional scenes according to claim 7, wherein: the quality of the reconstructed three-dimensional scene is evaluated by a correlation coefficient NC, and the correlation coefficient formula is as follows:
wherein, O represents the original three-dimensional scene, and R is the three-dimensional scene decrypted by the binary phase template and the first and second decryption phase templates.
9. The encryption and decryption method for the controllable amplification and decryption of the multiple three-dimensional scenes according to claim 1, characterized in that: in the decryption step, three-dimensional scene reconstruction is carried out through a decrypted virtual light path; the virtual decryption light path comprises two beam splitters and a photoelectric detector CCD, the two beam splitters and the photoelectric detector CCD are sequentially arranged, a decryption phase template 1 and a decryption phase template 2 are respectively arranged on different light incoming surfaces of a first beam splitter, a light outgoing surface of the first beam splitter is in butt joint with a light incoming surface of a second beam splitter through a spatial light modulator, a binary encryption phase template E is arranged at a specific light incoming surface of the second beam splitter, and the light outgoing surface of the second beam splitter is arranged corresponding to the photoelectric detector CCD.
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