CN108267945B - A method of the elimination optical scanner holography defocus noise based on self-organizing map neural network - Google Patents

A method of the elimination optical scanner holography defocus noise based on self-organizing map neural network Download PDF

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CN108267945B
CN108267945B CN201810038893.7A CN201810038893A CN108267945B CN 108267945 B CN108267945 B CN 108267945B CN 201810038893 A CN201810038893 A CN 201810038893A CN 108267945 B CN108267945 B CN 108267945B
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neural network
convex lens
self
pupil
organizing map
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CN108267945A (en
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欧海燕
刘柯
邵维
王秉中
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University of Electronic Science and Technology of China
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    • GPHYSICS
    • G03PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03HHOLOGRAPHIC PROCESSES OR APPARATUS
    • G03H1/00Holographic processes or apparatus using light, infrared or ultraviolet waves for obtaining holograms or for obtaining an image from them; Details peculiar thereto
    • G03H1/0005Adaptation of holography to specific applications
    • GPHYSICS
    • G03PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03HHOLOGRAPHIC PROCESSES OR APPARATUS
    • G03H1/00Holographic processes or apparatus using light, infrared or ultraviolet waves for obtaining holograms or for obtaining an image from them; Details peculiar thereto
    • G03H1/04Processes or apparatus for producing holograms
    • G03H1/10Processes or apparatus for producing holograms using modulated reference beam
    • G03H1/12Spatial modulation, e.g. ghost imaging
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F18/00Pattern recognition
    • G06F18/20Analysing
    • G06F18/23Clustering techniques
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06NCOMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
    • G06N3/00Computing arrangements based on biological models
    • G06N3/02Neural networks
    • G06N3/04Architecture, e.g. interconnection topology
    • G06N3/045Combinations of networks
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06NCOMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
    • G06N3/00Computing arrangements based on biological models
    • G06N3/02Neural networks
    • G06N3/08Learning methods
    • G06N3/088Non-supervised learning, e.g. competitive learning
    • G06T5/70
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T2207/00Indexing scheme for image analysis or image enhancement
    • G06T2207/20Special algorithmic details
    • G06T2207/20081Training; Learning
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T2207/00Indexing scheme for image analysis or image enhancement
    • G06T2207/20Special algorithmic details
    • G06T2207/20084Artificial neural networks [ANN]

Abstract

The method for eliminating optical scanner holography defocus noise based on self-organizing map neural network that the invention discloses a kind of, belongs to optical scanner holography field and image denoising field, mainly solves the problems, such as defocus noise in optical scanner holography.The present invention utilize self-organizing map neural network clustering ability, eliminate through accidental enciphering treated rebuild figure defocus noise.The present invention can efficiently solve the defocus noise problem in optical scanner holography, and the method for this removal noise is suitable for every field.

Description

A kind of elimination optical scanner holography defocus noise based on self-organizing map neural network Method
Technical field
The present invention relates to optical scanner holography fields and image denoising field, in particular, being to be related to a kind of be based on from group It knits the method for the elimination optical scanner holography defocus noise of map neural network and realizes the device of this method.
Background technique
Optical scanner holographic technique, abbreviation OSH are a kind of recording techniques, can be swept by using single 2-D optical heterodyne It retouches to record 3-D holographic information.Since the technology proposes, applied in many fields, such as 3-D microscope, 3-D mode The fields such as identification and hologram image encryption.
Eliminating defocus noise is always a hot research problem in optical scanner holography, for the complete of multilayer wall Breath figure is significant.When rebuilding hologram in a certain strata coke, remainder layer will be as the clear of defocus influence of noise image Clear degree, therefore, high-resolution reconstruction hologram, domestic and international scientific research personnel have done many related works in order to obtain.
Document " Sectional image reconstruction in optical scanning holography Using a random-phase pupil " it proposes a kind of realize using random phase plate optical scanner hologram is encrypted Algorithm, and a kind of method elimination defocus noise using multi-frame mean is proposed, this method can be very good to eliminate defocus noise, But due to needing multi-frame mean to handle, timeliness is lower.
Document " Defocus noise suppression with combined frame difference and Connected component methods in optical scanning holography " propose it is a kind of poor based on frame The method of method and connected domain, this method has preferable timeliness, but the result edge that this method obtains is rough, and compared to Original image has deformation.
How to guarantee having the problem of faster processing timeliness while eliminating defocus noise well, is being present invention weight Point one of solves the problems, such as.
In addition, document " U-Net:Convolutional Networks for Biomedical Image Segmentation " using depth convolutional neural networks divide microbiology cell image, there is shown a kind of U-shaped network structure, It is designed by the structure in symmetrical network path, makes it have feature few using sample, fireballing.
Self-organizing map neural network (Self-organizing Feature Maps), abbreviation SOM are based on physiology The neural network structure proposed with brain science research achievement passes through inherent law and essential attribute in Automatic-searching sample, Self-organizing adaptively changes network parameter and structure.
The present invention is based on the ingenious clustering characteristics using SOM neural network of the prior art, are incorporated and are made an uproar to defocus In the problem of sonication, to realize to the defocus noise remove in optical scanner holography.
Summary of the invention
To overcome the above problem in the prior art, the present invention provides that a kind of processing timeliness is higher, eradicating efficacy is preferable The method of elimination optical scanner holography defocus noise based on self-organizing map neural network, this method utilize SOM neural network, Without pre-training process, it can be realized and separate defocus noise with object, achieve the purpose that eliminate defocus noise.
To achieve the goals above, The technical solution adopted by the invention is as follows:
A method of the elimination optical scanner holography defocus noise based on self-organizing map neural network, including walk as follows It is rapid:
(S100) hologram that object obtains encryption is scanned by optical holographic scanning means;
(S200) decryption rebuilds hologram and obtains the reconstruction image with defocus noise;
(S300) training self-organizing map neural network, and clustering is carried out to normalized sample data, disappeared Except the reconstruction image after defocus noise.
Specifically, the optical holographic scanning means includes laser Laser, and first point corresponding with laser Laser Beam device BS1, by acousto-optic modulator AOFS, the first reflecting mirror M1, the first pupil p1(x, y) and the first convex lens L1 constitute and with Corresponding first optical path of first beam splitter BS1, by the second reflecting mirror M2, the second pupil p2(x, y) and the second convex lens L2 are constituted And corresponding with the first beam splitter BS1 the second optical path, the second beam splitter that the first optical path and the interference of the second optical path are merged BS2, the scanning light being made of X-Y scanning galvanometer, third convex lens L3 and photoelectric detector PD corresponding with the second beam splitter BS2 Road, wherein the focal length of the first convex lens L1 and the second convex lens L2 are identical, and object to be scanned is placed in the X- of the scanning optical path Between Y scan galvanometer and third convex lens L3.
Further, in the step (S100), laser Laser tranmitting frequency is ω0Laser, by the first beam splitter Light wave is divided into two bundles by BS1, wherein a branch of light wave walk the first optical path through acousto-optic modulator AOFS by its frequency by ω0It is promoted to ω0 + Ω, then successively pass through the first reflecting mirror M1, the first pupil p1(x, y) and the first convex lens L1 is reached at the second beam splitter BS2, While another Shu Guangbo walks the second optical path and successively passes through the second reflecting mirror M2, the second pupil p2(x, y) and the second convex lens L2, It reaches at the second beam splitter BS2;
The two-beam wave is interfered at the second beam splitter BS2 forms Fresnel single-slit diffraction, then sweeps through the reflection of X-Y scanning galvanometer Object is retouched, wherein the light wave through object is converged through third convex lens L3, and is received by photoelectric detector PD, through a series of demodulation The hologram encrypted.
Wherein, the first pupil p1(x, y) is random phase plate, the second pupil p2(x, y) is 1 function of rectangle.
The optical transfer function of the scanning process are as follows:
Wherein, x and y indicates the position of object under test, and x ' and y ' are integration variable, and z indicates X-Y scanning galvanometer to determinand The distance of body, λ indicate optical wavelength,Indicate wave number, f is the focal length of the first convex lens and the second convex lens, kxWith kyIndicate frequency domain coordinates, p1(x, y) and p2(x, y) respectively indicates the first pupil function and the second pupil function,
Herein, since the first pupil is random phase plate, therefore p1(x, y)=exp (j π r (x, y)), due to the second pupil For 1 function of rectangle, therefore p2(x, y)=1, r (x, y) is the two-dimensional random number of [0,1], then optical transfer function can be expressed as
Wherein, ziIndicate i-th layer of the object under test axial distance with X-Y scanning galvanometer, i=1,2 ..., N, N is determinand Body indicates p along the axial discrete number of plies, P11The Fourier transformation form of (x, y),*Indicate conjugate operation;
Therefore, the hologram of the encryption is expressed as
Wherein, g (x, y;zi) it is i-th layer of the object under test complex amplitude function being sliced, F and F-1Respectively indicate Fourier transformation And inverse Fourier transform.
Further, in the step (S200), when the image of r layers of object is rebuild in decryption, setting decoding pupil letter Number p1d(x, y)=1,Then rebuild zrImage expression is
Wherein, g (x, y;zr) it is in zrPlace rebuilds the image restored, and remainder is noise item on the right side of equation.
Further, the step (S300) specifically includes:
(S310) training self-organizing map neural network,
(S311) establishing input is n-dimensional vector and the two-dimentional SOM neural network with m output node, wherein input N-dimensional vector is x=[x1,x2,…,xn]T, s-th of connection inputted between neuron node and first of output neuron node Weight is wsl
(S312) to wslIt is initialized, is each connection weight wslOne value is randomly selected between [0,1] to make For initial weight, and keep each initial weight different, the initial value of winning neighborhood is hl,s(x)(0), the initial value of learning rate is η (0);
(S313) it using the reconstruction image with defocus noise as input sample data, and is normalized;
(S314) input vector is calculated in moment t to the distance of all connection weights: Wherein, xiIt (t) is value of the input vector in moment t, selection generates DlThe smallest node is used as most matched neuronI.e. winning neuron;
(S315) winning neighborhood function h is definedl,s(x)(t) and learning rate function η (t):
σ (t)=T-k1T ... formula 6
η (t)=η (0)-k2T ... formula 7
Wherein, Rl、Rs(x)It is the position of output node l, s (x) respectively;σ (t) is the radius of neighborhood, and T is the radius of neighbourhood Initial value, k1For the slope of radius of neighbourhood change curve, 0 < η (t) < 1, k2For the slope of learning rate function curve;
(S316) connection weight of neuron is adjusted by way of stochastic gradient descent,
wsl(t+1)=wsl(t)+η(t)hl,s(x)[xs(t)-wsl(t)] ... formula 8
Wherein, t dullness reduces η (t) at any time, hl,s(x)(t) Gauss neighborhood function is used;
(S317) step (S314) to (S316) is repeated, until learning rate decays to 0, completion is to two dimension SOM nerve net The training of network;
(S320) m class data set is obtained after the completion of training, wherein last a kind of data set is the reconstruction image after denoising.
Compared with prior art, the invention has the following advantages:
(1) present invention uses self-organizing map neural network and optical scanner holographic technique, utilizes self-organizing map neural The clustering ability of network, can be very good by the reconstruction image with defocus noise defocus noise and object divided Class, to realize the defocus noise for eliminating the hologram after accidental enciphering.
(2) method that the present invention uses self-organizing map neural network, the hologram after efficiently solving accidental enciphering With defocus noise problem.
(3) this method does not need pre-training process compared to other deep learning methods, and the algorithm training time is short.
(4) not only implementation is simple, is convenient for operation by the present invention, while having very strong usability.
Detailed description of the invention
Fig. 1 is the basic structure schematic diagram of optical holographic scanning means in the present invention.
Fig. 2 is that one group of subject image of scanning used in the embodiment of the present invention is illustrated.
Fig. 3 is the reconstruction image that the embodiment of the present invention must have defocus noise, and (a) and (b) respectively corresponds corresponding in Fig. 2 Subject image.
Fig. 4 is the training flow diagram of SOM neural network used in the embodiment of the present invention.
Fig. 5 is SOM neural network basic model used in the embodiment of the present invention.
Fig. 6 is the denoising result of the embodiment of the present invention, and (a) and (b) respectively corresponds the reconstruction with defocus noise in Fig. 3 Image.
Specific embodiment
Present invention will be further explained below with reference to the attached drawings and examples, and embodiments of the present invention include but is not limited to The following example.
Embodiment
It as shown in Figures 1 to 6, should be based on the side of the elimination optical scanner holography defocus noise of self-organizing map neural network Method, the specific steps are as follows:
(S100) hologram that object obtains encryption is scanned by optical holographic scanning means:
The basic structure of its used optical holographic scanning means is as shown in Figure 1, comprising: laser Laser, with laser The corresponding first beam splitter BS1 of device Laser, by acousto-optic modulator AOFS, the first reflecting mirror M1, the first pupil p1(x, y) and First optical path that one convex lens L1 is constituted and corresponding with the first beam splitter BS1, by the second reflecting mirror M2, the second pupil p2(x, Y) and the second convex lens L2 is constituting and corresponding with the first beam splitter BS1 the second optical path, and the first optical path and the second optical path are done The second beam splitter BS2 of merging is related to, it is corresponding with the second beam splitter BS2 to be visited by X-Y scanning galvanometer, third convex lens L3 and photoelectricity Survey the scanning optical path that device PD is constituted, wherein object to be scanned is placed in the X-Y scanning galvanometer and third convex lens of the scanning optical path Between mirror L3;Wavelength X=the 632.8nm for the light wave that laser issues, the focal length phase of the first convex lens L1 and the second convex lens L2 It together, is all 400mm, the distance of X-Y scanning galvanometer to bilayer slice is respectively z1=12mm, z2=13mm, scanned object is as schemed Shown in 2, for the slice of use having a size of 1mm × 1mm, sampling pixel points are 256 × 256.
The process that the optical holographic scanning means executes are as follows: laser Laser tranmitting frequency is ω0Laser, by first Light wave is divided into two bundles by beam splitter BS1, wherein a branch of light wave walk the first optical path through acousto-optic modulator AOFS by its frequency by ω0It mentions It is upgraded to ω0+ Ω, then successively pass through the first reflecting mirror M1, the first pupil p1(x, y) and the first convex lens L1 reaches the second beam splitter At BS2, while another Shu Guangbo walks the second optical path and successively passes through the second reflecting mirror M2, the second pupil p2(x, y) and the second convex lens Mirror L2 is also reached at the second beam splitter BS2, wherein the first pupil p1(x, y) is random phase plate, the second pupil p2 (x, y) is 1 function of rectangle;
The two-beam wave is interfered at the second beam splitter BS2 forms Fresnel single-slit diffraction, then sweeps through the reflection of X-Y scanning galvanometer Object is retouched, wherein the light wave through object is converged through third convex lens L3, and is received by photoelectric detector PD, through a series of demodulation The hologram encrypted.
The optical transfer function of the process are as follows:
Wherein, x and y indicates the position of object under test, and x ' and y ' are integration variable, and z indicates X-Y scanning galvanometer to determinand The distance of body, λ indicate optical wavelength,Indicate wave number, f is the focal length of the first convex lens and the second convex lens, kxWith kyIndicate frequency domain coordinates, p1(x, y) and p2(x, y) respectively indicates the first pupil function and the second pupil function,
Herein, since the first pupil is random phase plate, therefore p1(x, y)=exp (j π r (x, y)), due to the second pupil For 1 function of rectangle, therefore p2(x, y)=1, r (x, y) is the two-dimensional random number of [0,1], then optical transfer function can be expressed as
Wherein, ziIndicate i-th layer of the object under test axial distance with X-Y scanning galvanometer, i=1,2 ..., N, N is determinand Body indicates p along the axial discrete number of plies, P11The Fourier transformation form of (x, y),*Indicate conjugate operation;
Therefore, the hologram of the encryption is expressed as
Wherein, g (x, y;zi) it is i-th layer of the object under test complex amplitude function being sliced, F and F-1Respectively indicate Fourier transformation And inverse Fourier transform.
(S200) decryption rebuilds hologram and obtains the reconstruction image with defocus noise, as shown in Figure 4;
In order to rebuild the image of r layers of object, setting decoding pupil function p1d(x, y)=1,Then rebuild zrImage can be expressed as:
Wherein, g (x, y;zr) it is in zrPlace rebuilds the image restored, and remainder is noise item on the right side of equation.
(S300) training self-organizing map neural network, and clustering is carried out to normalized sample data, disappeared Except the reconstruction image after defocus noise:
(S310) training self-organizing map neural network,
(S311) establishing input is n-dimensional vector and the two-dimentional SOM neural network with m output node, wherein the n inputted Dimensional vector is x=[x1,x2,…,xn]T, s-th of connection weight inputted between neuron node and first of output neuron node Value is wsl;N=65536, m=18 are selected in the present embodiment;
(S312) to wslIt is initialized, is each connection weight wslOne value is randomly selected between [0,1] to make For initial weight, and keep each initial weight different, the initial value of winning neighborhood is hl,s(x)(0), the initial value of learning rate is η (0);
(S313) using the reconstruction image with defocus noise as input sample data, since input sample image is 256 × 256, matrix-vector is become to 65536 × 1 vector, is then normalized, comply with input n tie up to The format of amount;
(S314) input vector is calculated in moment t to the distance of all connection weights: Wherein, xsIt (t) is value of the input vector in moment t, selection generates DlThe smallest node is used as most matched neuronI.e. winning neuron;
(S315) winning neighborhood function h is definedl,s(x)(t) and learning rate function η (t):
σ (t)=T-k1T ... formula 6
η (t)=η (0)-k2T ... formula 7
Wherein, Rl、Rs(x)It is the position of output node l, s (x) respectively;σ (t) is the radius of neighborhood, and T is the radius of neighbourhood Initial value, k1For the slope of radius of neighbourhood change curve, 0 < η (t) < 1, k2For the slope of learning rate function curve;According to aforementioned ginseng It counts, in the present embodiment, T=3, k1=0.1, η (0)=0.92, k2=0.04;
(S316) connection weight of neuron is adjusted by way of stochastic gradient descent,
wsl(t+1)=wsl(t)+η(t)hl,s(x)[xs(t)-wsl(t)] ... formula 8
Wherein, t dullness reduces η (t) at any time, hl,s(x)(t) Gauss neighborhood function is used;
(S317) step (S314) to (S316) is repeated, until learning rate decays to 0, completion is to two dimension SOM nerve net The training of network;
(S320) m class data set is obtained after the completion of training, wherein last a kind of data set is the reconstruction image after denoising. As shown in Figure 6, it can be seen that after neural network, eliminate most of defocus noise.
Above-described embodiment is merely a preferred embodiment of the present invention, and it is not intended to limit the protection scope of the present invention, as long as using Design principle of the invention, and the non-creative variation worked and made is carried out on this basis, it should belong to of the invention Within protection scope.

Claims (6)

1. a kind of method of the elimination optical scanner holography defocus noise based on self-organizing map neural network, which is characterized in that Include the following steps:
(S100) hologram that object obtains encryption is scanned by optical holographic scanning means;
(S200) decryption rebuilds hologram and obtains the reconstruction image with defocus noise;
(S300) training self-organizing map neural network, and to normalized sample data carry out clustering, be eliminated from Reconstruction image after burnt noise:
(S310) training self-organizing map neural network,
(S311) establishing input is n-dimensional vector and the two-dimentional SOM neural network with m output node, wherein s-th of input Connection weight between neuron node and first of output neuron node is wsl
(S312) to wslIt is initialized, is each connection weight wslOne value is randomly selected between [0,1] as just Beginning weight, and keep each initial weight different, the initial value of winning neighborhood is hl,s(x)(0), the initial value of learning rate is η (0);
(S313) it using the reconstruction image with defocus noise as input sample data, and is normalized;
(S314) input vector is calculated in moment t to the distance of all connection weights: Wherein, xiIt (t) is value of the input vector in moment t, selection generates DlThe smallest node is used as most matched neuronI.e. winning neuron;
(S315) winning neighborhood function h is definedl,s(x)(t) and learning rate function η (t):
σ (t)=T-k1T ... formula 6
η (t)=η (0)-k2T ... formula 7
Wherein, Rl、Rs(x)It is the position of output node l, s (x) respectively;σ (t) is the radius of neighborhood, and T is the initial value of the radius of neighbourhood, k1For the slope of radius of neighbourhood change curve, 0 < η (t) < 1, k2For the slope of learning rate function curve;
(S316) connection weight of neuron is adjusted by way of stochastic gradient descent,
wsl(t+1)=wsl(t)+η(t)hl,s(x)[xs(t)-wsl(t)] ... formula 8
Wherein, t dullness reduces η (t) at any time, hl,s(x)(t) Gauss neighborhood function is used;
(S317) step (S314) to (S316) is repeated, until learning rate decays to 0, completion is to two dimension SOM neural network Training;
(S320) m class data set is obtained after the completion of training, wherein last a kind of data set is the reconstruction image after denoising.
2. the side of the elimination optical scanner holography defocus noise according to claim 1 based on self-organizing map neural network Method, which is characterized in that the optical holographic scanning means includes laser Laser, the first beam splitting corresponding with laser Laser Device BS1, by acousto-optic modulator AOFS, the first reflecting mirror M1, the first pupil p1It is that (x, y) and the first convex lens L1 are constituted and with the Corresponding first optical path of one beam splitter BS1, by the second reflecting mirror M2, the second pupil p2What (x, y) and the second convex lens L2 were constituted And the second optical path corresponding with the first beam splitter BS1, the second beam splitter BS2 that the first optical path and the interference of the second optical path are merged, The scanning optical path being made of X-Y scanning galvanometer, third convex lens L3 and photoelectric detector PD corresponding with the second beam splitter BS2, Wherein, the focal length of the first convex lens L1 and the second convex lens L2 are identical, and the X-Y that object to be scanned is placed in the scanning optical path is swept It retouches between galvanometer and third convex lens L3.
3. a kind of elimination optical scanner holography defocus noise based on self-organizing map neural network according to claim 2 Method, which is characterized in that in the step (S100), laser Laser tranmitting frequency be ω0Laser, by the first beam splitting Light wave is divided into two bundles by device BS1, wherein a branch of light wave walk the first optical path through acousto-optic modulator AOFS by its frequency by ω0It is promoted to ω0+ Ω, then successively pass through the first reflecting mirror M1, the first pupil p1(x, y) and the first convex lens L1 reaches the second beam splitter BS2 Place, while another Shu Guangbo walks the second optical path and successively passes through the second reflecting mirror M2, the second pupil p2(x, y) and the second convex lens L2 is also reached at the second beam splitter BS2;
The two-beam wave is interfered at the second beam splitter BS2 forms Fresnel single-slit diffraction, then reflects scanning object through X-Y scanning galvanometer Body wherein the light wave through object is converged through third convex lens L3, and is received by photoelectric detector PD, is obtained through a series of demodulation The hologram of encryption.
4. the side of the elimination optical scanner holography defocus noise according to claim 3 based on self-organizing map neural network Method, which is characterized in that the first pupil p1(x, y) is random phase plate, the second pupil p2(x, y) is 1 function of rectangle.
5. the elimination optical scanner holography according to any one of claims 1 to 4 based on self-organizing map neural network from The method of burnt noise, which is characterized in that the hologram of the encryption is expressed as
Wherein, i=1,2 ..., N, N are object under test along the axial discrete number of plies, g (x, y;zi) it is i-th layer of object under test slice Complex amplitude function, F and F-1Fourier transformation and inverse Fourier transform are respectively indicated, x and y indicate the position of object under test, z table Show X-Y scanning galvanometer to object under test distance,Indicate wave number, λ indicate optical wavelength, f be the first convex lens and The focal length of second convex lens, kxAnd kyIndicate frequency domain coordinates, P1Indicate the first pupil function p1(x, y)=exp (j π r (x, y)) Fourier transformation form,*Indicate that conjugate operation, r (x, y) are the two-dimensional random number of [0,1],
6. the side of the elimination optical scanner holography defocus noise according to claim 5 based on self-organizing map neural network Method, which is characterized in that in the step (S200), when the image of r layers of object is rebuild in decryption, setting decoding pupil function p1d (x, y)=1,Then rebuild zrImage expression is
Wherein, g (x, y;zr) it is in zrPlace rebuilds the image restored, and remainder is noise item on the right side of equation.
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