CN109615612A - A kind of defect inspection method of solar panel - Google Patents

A kind of defect inspection method of solar panel Download PDF

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CN109615612A
CN109615612A CN201811380796.2A CN201811380796A CN109615612A CN 109615612 A CN109615612 A CN 109615612A CN 201811380796 A CN201811380796 A CN 201811380796A CN 109615612 A CN109615612 A CN 109615612A
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matrix
image
solar panel
rank
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刘屿
张志国
刘伟东
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South China University of Technology SCUT
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T7/00Image analysis
    • G06T7/0002Inspection of images, e.g. flaw detection
    • G06T7/0004Industrial image inspection
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T5/00Image enhancement or restoration
    • G06T5/20Image enhancement or restoration using local operators
    • G06T5/30Erosion or dilatation, e.g. thinning
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T7/00Image analysis
    • G06T7/10Segmentation; Edge detection
    • G06T7/13Edge detection
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T7/00Image analysis
    • G06T7/10Segmentation; Edge detection
    • G06T7/136Segmentation; Edge detection involving thresholding
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T2207/00Indexing scheme for image analysis or image enhancement
    • G06T2207/30Subject of image; Context of image processing
    • G06T2207/30168Image quality inspection

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  • Computer Vision & Pattern Recognition (AREA)
  • Quality & Reliability (AREA)
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Abstract

The invention discloses a kind of defect inspection methods of solar panel, it is realized by building the measuring system constituted by test stand, grey area array cameras, telecentric lens, annular light source and objective table, steps are as follows: shooting the picture of solar panel, the expansion process in horizontal and vertical direction is carried out respectively, edge detection is carried out using canny operator, using Hough transform to image rotation, the empty value of rotated image is repaired;By filtering and noise reduction, luminance proportion processing is carried out using gamma correction, then even partition image;Using robust principal component algorithm, the image after segmentation is converted to matrix D, and resolve into low-rank matrix A and sparse matrix E, according to APG gradient approximate algorithm, recovery processing is carried out to matrix D;The reverse single wafer image that returns is carried out to low-rank matrix A and sparse matrix E to operate, and handles to obtain the solar panel image of defect by low-rank matrix decomposition technique, and then detect defective locations.

Description

A kind of defect inspection method of solar panel
Technical field
The present invention relates to technical field of vision detection, and in particular to a kind of defect inspection method of solar panel.
Background technique
In the converting system of solar energy and electric energy, the main carriers of solar power generation are solar battery sheets, its matter One of the main reason for amount is influence solar energy generating efficiency.Since cell piece is chronically exposed in air, by sunshine, rainwater, The influence of the environmental factors such as temperature, air quality, cell piece surface have a degree of breakage, and surface generates defect, so that The decrease of power generation of solar energy, therefore need regularly to detect the solar panel of solar power plant, Check sees electricity The quality and case of surface defects of pond piece, and to solar battery that is underproof in actual operation or being damaged Piece takes timely measure and is replaced.Currently, solar battery sheet surface defect mostly uses artificial detection, traditional people's range estimation Examination needs to expend a large amount of man power and material, while the result detected is easy the subjective factor influence of examined people again, and detects Efficiency is lower.The present invention proposes a kind of defect inspection method of solar panel based on machine vision.
Summary of the invention
The purpose of the present invention is to solve drawbacks described above in the prior art, provide a kind of defect of solar panel Detection method.
The purpose of the present invention can be reached by adopting the following technical scheme that:
A kind of defect inspection method of solar panel, the defect inspection method include the following steps:
S1, the image for shooting a width solar panel, carry out at horizontal expansion processing and vertical expansion original image Reason, carries out edge detection using canny operator, rotates image according to Hough transform, then uses closest interpolation algorithm reparation The cavity value of rotated image;
S2, background is removed by Threshold segmentation, reuses median filter to the solar panel after angle correct Image filtering then carries out luminance proportion processing to image using gamma correction, then carries out even partition to image, Obtain single target solar battery sheet detection image;
S3, using robust principal component algorithm, the image after segmentation is converted to matrix D, and resolve into low-rank matrix A and dilute It dredges matrix E and recovery processing is carried out to matrix D according to APG gradient approximate algorithm;
S4, reverse return single wafer image operation is carried out to low-rank matrix A and sparse matrix E, obtained by low-rank square The zero defect solar cell wafer and defective solar cell wafer of battle array decomposition technique processing, to detect solar energy The defective locations of solar panel.
Further, the process of the cavity value of rotated image is repaired in the step S1 using closest interpolation algorithm It is as follows:
It calculates separately and point P (x0, y0) Euclidean distance of four points closed on, it will be with point P (x0, y0) nearest integer sits The grey scale pixel value of punctuate (x, y) is taken as P (x0, y0) point grey scale pixel value.
Further, the image of the solar panel shot in the step S1 is gray level image, with background color Difference is obvious, edge clear.
Further, Hough transform process is as follows in the step S1:
First by (ρ, θ) space quantization, wherein ρ indicates that in polar coordinate system with a distance from origin, θ indicates the angle in polar coordinate system Degree, obtains two-dimensional matrix M (ρ, θ), M (ρ, θ) is an accumulator, initial value 0, M (ρ, θ)=0;
To borderline each point (Xi, Yi), bring all quantized values of θ into ρ=xcos θ+ysin θ, wherein x and y table The abscissa and ordinate for showing two-dimensional Cartesian coordinate system, calculate corresponding ρ, and by accumulator add 1, M (ρ, θ)=M (ρ, θ)+ 1;
To borderline each point (Xi, Yi) after processing, analyze M (ρ, θ) if M (ρ, θ) > T and mean that there are one Line segment, M (ρ, θ) indicate that the fitting parameter of this line segment, T are a nonnegative integer, are determined by the priori knowledge of target in image Fixed;
Line segment in image is by M (ρ, θ) and (Xi, Yi) determine jointly, then breaking portion is connected.
Further, gamma correction is edited by the gamma curve to image in the step S2, realization pair The method that image carries out non-linear tone editor, detects the dark parts and light-colored part in signal, and increases the two ratio Greatly, wherein gamma correction definition is formulated:A is a non-negative real number, VinIndicate input picture Contrast, VoutIndicate the contrast value after processing output;As γ < 1, become larger in the dynamic range of low gray level areas, it is high The dynamic range in gray value region becomes smaller, and then picture superposition, the dynamic range as γ > 1, in low ash angle value region Become smaller, the dynamic range in high gray value region becomes larger, and then picture contrast reduces.
Further, the step S3 process is as follows:
By n unit target solar battery picture X of segmentation1,X2,…XnBy column vector I1,I2…InIt indicates, it is to be measured Image array D is indicated are as follows: D=[vec (I1)|vec(I2)|…|vec(In)]∈Rm×n, wherein m indicates each wafer images Pixel value, vec (In) indicate n-th of chip image array, Rm×nIndicate the real number matrix that row size is m and column size is n;
Using robust principal component algorithm, testing image matrix D is resolved into low-rank matrix A and sparse matrix E, the matrix D ∈Rm×n, it is by a low-rank matrix A ∈ Rm×nWith a sparse matrix E ∈ Rm×nIt constitutes, i.e. D=A+E, wherein low-rank square Battle array A is the data matrix not polluted by noise or defect, and sparse matrix E is small noise and the defect represented in the picture;
Restore to be found the nearest r dimensional linear subspace projection mapped in matrix D, definition is such as by the matrix D destroyed Under: min rank (A)+λ ‖ E ‖, wherein objective function is the zero norm ‖ E ‖ of the order rank (A) and sparse matrix E of low-rank matrix A, λ indicates weight shared by noise;
Rank of matrix is replaced with the nuclear norm approximation of matrix again, 1 norm of matrix is carried out approximate zero norm instead of matrix, obtained To recovery matrix A0, conversion results are as follows: min rank (A)+λ ∑ij|Eij|, wherein ∑ij|Eij| it indicates in sparse matrix E The sum of absolute value of all elements;
Using APG gradient approximate algorithm, completes the recovery to matrix D and handle.
Further, APG gradient approximate algorithm is in two qualifications x ∈ H and L (X)=b in the step S3 Under, ming (x) is found out, wherein H indicates to meet | (x, y) | the value of all (x, y) under the conditions of≤‖ x ‖ ‖ y ‖, b is invariant, G (x) is objective function, and L (X) indicates gradient qualified function, on the section that it is defined, for arbitrary x1And x2, and it is any real Number λ ∈ (0,1), meets g (λ x1+(1-λ)x2)≤λg(x1)+(1-λ)x2, the recovery problem of low-rank matrix A is approximately as described below:
Relaxation expression formula is as follows:
The wherein ‖ of penalty function f (x)=0.5 L (X)-b ‖2, relaxation parameter μ > 0;
Then it is approached with a separable quadratic function F (X), obtains following formula:
WhereinG (x)=‖ A ‖+λ ‖ E1‖, Y indicate the target point of approach,<> Indicate dot product,Indicate the total derivative of f, LfIt is the general happiness thatch constant of benefit, ‖ E1‖ indicates ∑ij|Eij|;
Then it acquires
Wherein Ak+1And Ek+1The A and E of+1 iteration of kth are respectively indicated, argmin μ ‖ A ‖ is indicated when μ ‖ A ‖ is minimized A, μ > 0 is relaxation parameter, operand is adjusted by adjusting μ, to adjust velocity of approch, whereinAndIndicate the matrix A power of G kth time iteration,Indicate matrix E times of G kth time iteration Power;
Again by pairSVD decomposition is carried out, is iterated until convergence, you can get it final Approaching Results A and E.
The present invention has the following advantages and effects with respect to the prior art:
1, the present invention rotates image using Hough transform, needs to repair picture in the preprocessing part of image Cavity value caused by rotation, the empty value that this method design uses, which is filled up, can allow the distortion rate of image lower, reinforce the later period To the precision of the post-processing of image segmentation.
2, the detection method of surface flaw that uses of the present invention is using rectangle recovery algorithms, and wherein approach can be bright for accelerating gradient It is aobvious to reduce the number of iterations, improve iteration precision, while the number of singular value decomposition is reduced, the rapidity of increased identification;
Detailed description of the invention
Fig. 1 is the flow chart of the defect inspection method of solar panel disclosed in the present invention;
Fig. 2 is that the structure of detection device used in the defect inspection method of solar panel disclosed in the present invention is shown It is intended to;
Fig. 3 is to repair showing for empty value after the defect inspection method of solar panel disclosed in the present invention rotates image It is intended to.
Specific embodiment
In order to make the object, technical scheme and advantages of the embodiment of the invention clearer, below in conjunction with the embodiment of the present invention In attached drawing, technical scheme in the embodiment of the invention is clearly and completely described, it is clear that described embodiment is A part of the embodiment of the present invention, instead of all the embodiments.Based on the embodiments of the present invention, those of ordinary skill in the art Every other embodiment obtained without making creative work, shall fall within the protection scope of the present invention.
Embodiment
The present invention provides a kind of defect inspection method of solar panel, the visible detection method by by test stand 5, Colored area array cameras 1, telecentric lens 2, pedestal light source 4 and objective table 3 build the measuring system realization of composition, the measuring system group Can referring further to Figure 2 at the specific location structural relation of component, the hardware installation of measuring system should meet colour plane battle array phase Machine 1, telecentric lens 2, objective table 3 and pedestal light source 4 axis parallel, and objective table 3 is installed on the field depth of telecentric lens 2 It is interior.
Using the measuring system as the defect inspection method of detection instrument the following steps are included:
S1, the image for shooting a width solar panel carry out angular adjustment, then carry out to original image horizontal swollen
Swollen processing connects the edge in horizontal direction, then carries out vertical expansion processing, connection to original image
Edge in vertical direction carries out edge detection using canny operator, finds rotation angle using Hough transform, Then image is rotated, after rotation, is worth using the cavity that closest interpolation algorithm repairs rotated image.
Wherein, process such as Fig. 3 that the cavity value of rotated image is repaired using closest interpolation algorithm, is calculated separately and point P(x0, y0) Euclidean distance of four points closed on, it will be with point P (x0, y0) nearest rounded coordinate point (x, y) grey scale pixel value It is taken as P (x0, y0) point grey scale pixel value, it obtains angle and adjusts correct solar panel image.
Wherein, the image of the solar panel of shooting is gray level image, obvious with background color difference, edge clear.
Wherein, Hough transform is first by (ρ, θ) space quantization, and wherein ρ is indicated in polar coordinate system with a distance from origin, θ table Show the angle in polar coordinate system, obtain two-dimensional matrix M (ρ, θ), M (ρ, θ) is an accumulator, initial value 0, M (ρ, θ)=0. Again to borderline each point (Xi, Yi), bring all quantized values of θ into ρ=xcos θ+ysin θ, wherein x and y indicates two dimension The abscissa and ordinate of rectangular coordinate system calculate corresponding ρ, and accumulator are added 1, M (ρ, θ)=M (ρ, θ)+1.Then, It will be to borderline each point (Xi, Yi) after processing, analysis M (ρ, θ) is meant that if M (ρ, θ) > T there are a line segment, This line segment is meaningful, and M (ρ, θ) means that the fitting parameter of this line segment.T indicates a nonnegative integer, this is non-negative Integer is determined by the priori knowledge of target in image.Finally, the line segment in image is by M (ρ, θ) and (Xi, Yi) common Determining, then breaking portion is connected again.
S2, background is removed by Threshold segmentation, reuses median filter to the solar panel after angle correct Image filtering goes impurity point to interfere, and then, carries out luminance proportion processing to image using gamma correction, solves solar energy Then the influence of brightness irregularities caused by solar panel further groove carries out even partition to image and obtains to 6 equal part of ranks Single target solar battery sheet detection image.
Wherein, gamma correction is edited by the gamma curve to image, carries out non-linear tone volume to image The method collected, detects the dark parts and light-colored part in signal, and increases the two ratio, to improve picture contrast Effect.Its definition can be indicated with lower formula:Wherein, A is a non-negative real number, usual situation Lower A=1, VinIndicate the contrast of input picture, VoutIndicate the contrast value after processing output.As γ < 1, in low ash degree The dynamic range in region becomes larger, and the dynamic range in high gray value region becomes smaller, and then picture superposition, such gamma Correction course is referred to as gamma contraction, and as γ > 1, the dynamic range in low ash angle value region becomes smaller, high gray value region Dynamic range becomes larger, and reduces the picture contrast in low ash angle value region, improves the picture contrast in high gray value region, reaches To Histogram equalization.
S3, using robust principal component algorithm, the image after segmentation is converted to matrix D, and resolve into low-rank matrix A and dilute It dredges matrix E and recovery processing is carried out to matrix D according to APG gradient approximate algorithm;
By n unit target solar battery picture X of segmentation1,X2,…XnBy column vector I1,I2…InIt indicates.It is to be measured Image array D is indicated are as follows: D=[vec (I1)|vec(I2)|…|vec(In)]∈Rm×n, wherein m indicates each wafer images Pixel value, vec (In) indicate n-th of chip image array, Rm×nIndicate the real number matrix that row size is m and column size is n; Then, using robust principal component algorithm, matrix D is resolved into low-rank matrix A and sparse matrix E, matrix D ∈ Rm×n, it be by One low-rank matrix A ∈ Rm×nWith a sparse matrix E ∈ Rm×nIt constitutes.That is D=A+E.Wherein, low-rank matrix A is not made an uproar Sound or the data matrix of defect pollution, sparse matrix E is small noise and the defect represented in the picture.By the square destroyed Battle array D restores, and to find the nearest r dimensional linear subspace projection mapped in matrix D.It is defined as follows: min rank (A)+λ ‖ E ‖, Wherein objective function is zero norm of the sum of ranks sparse matrix E of low-rank matrix A, and λ indicates weight shared by noise.Again with matrix Nuclear norm approximation replaces rank of matrix, and 1 norm of matrix carrys out approximate zero norm instead of matrix, and be restored matrix A0.Its turn It is as follows to change result: min rank (A)+λ ∑ij|Eij|, wherein ∑ij|Eij| indicate sparse matrix E in all elements absolute value it With;Finally, completing the recovery to matrix D using APG gradient approximate algorithm and handling;
Wherein, APG gradient approximate algorithm is to find out ming (x), wherein H at two qualifications x ∈ H and L (X)=b Indicate to meet | (x, y) | the value of all (x, y) under the conditions of≤‖ x ‖ ‖ y ‖, b is invariant, and g (x) is objective function, L (X) Gradient qualified function is indicated, on the section that it is defined, for arbitrary x1And x2, and any real number λ ∈ (0,1), meet g (λ x1+(1-λ)x2)≤λg(x1)+(1-λ)x2, the recovery problem of low-rank matrix A is approximately as described below:
Under normal circumstances, relaxation expression formula is as follows:
The wherein ‖ of penalty function f (x)=0.5 L (X)-b ‖2, relaxation parameter μ > 0;
Then it is approached with a separable quadratic function F (X), obtains following formula:
WhereinG (x)=‖ A ‖+λ ‖ E1‖, Y indicate the target point of approach,<> Indicate dot product,Indicate the total derivative of f, LfIt is the general happiness thatch constant of benefit, ‖ E1‖ indicates ∑ij|Eij|;
Then it acquires
Wherein Ak+1And Ek+1The A and E of+1 iteration of kth are respectively indicated, argmin μ ‖ A ‖ is indicated when μ ‖ A ‖ is minimized A, μ > 0 is relaxation parameter, operand is adjusted by adjusting μ, to adjust velocity of approch, whereinAndIndicate the matrix A power of G kth time iteration,Indicate matrix E times of G kth time iteration Power;
Again by pairSVD decomposition is carried out, is iterated until convergence, you can get it final Approaching Results A and E.
S4, reverse return single wafer image operation is carried out to low-rank matrix A and sparse matrix E, obtained by low-rank square The zero defect solar cell wafer and defective solar cell wafer of battle array decomposition technique processing, to detect solar energy The defective locations of solar panel.
Wherein, low-rank matrix A and sparse matrix E is carried out from singular value decomposition by testing image matrix D in step S3.
In conclusion the defect inspection method of solar panel provided by the invention saves big in contrast to artificial detection The man power and material of amount, the result for avoiding detection are easy the subjective factor influence of examined people again, have to raw on assembly line The next solar panel Detection accuracy height of output, fireballing advantage.
The above embodiment is a preferred embodiment of the present invention, but embodiments of the present invention are not by above-described embodiment Limitation, other any changes, modifications, substitutions, combinations, simplifications made without departing from the spirit and principles of the present invention, It should be equivalent substitute mode, be included within the scope of the present invention.

Claims (7)

1. a kind of defect inspection method of solar panel, which is characterized in that the defect inspection method includes following step It is rapid:
S1, the image for shooting a width solar panel carry out horizontal expansion processing to original image and vertical expansion are handled, adopt Edge detection is carried out with canny operator, image is rotated according to Hough transform, is then rotated using closest interpolation algorithm reparation The cavity value of image afterwards;
S2, background is removed by Threshold segmentation, reuses median filter to the solar panel image after angle correct Filtering then carries out luminance proportion processing to image using gamma correction, then carries out even partition to image, obtain Single target solar battery sheet detection image;
S3, using robust principal component algorithm, the image after segmentation is converted to matrix D, and resolve into low-rank matrix A and sparse square Battle array E carries out recovery processing to matrix D according to APG gradient approximate algorithm;
S4, reverse return single wafer image operation is carried out to low-rank matrix A and sparse matrix E, obtained by low-rank matrix point The zero defect solar cell wafer and defective solar cell wafer for solving technical treatment, to detect solar battery The defective locations of plate.
2. a kind of defect inspection method of solar panel according to claim 1, which is characterized in that the step The process for repairing the cavity value of rotated image in S1 using closest interpolation algorithm is as follows:
It calculates separately and point P (x0, y0) Euclidean distance of four points closed on, it will be with point P (x0, y0) nearest rounded coordinate point The grey scale pixel value of (x, y) is taken as P (x0, y0) point grey scale pixel value.
3. a kind of defect inspection method of solar panel according to claim 1, which is characterized in that the step The image of the solar panel shot in S1 is gray level image, obvious with background color difference, edge clear.
4. a kind of defect inspection method of solar panel according to claim 1, which is characterized in that the step Hough transform process is as follows in S1:
First by (ρ, θ) space quantization, wherein ρ indicates that in polar coordinate system with a distance from origin, θ indicates the angle in polar coordinate system, It obtains two-dimensional matrix M (ρ, θ), M (ρ, θ) is an accumulator, initial value 0, M (ρ, θ)=0;
To borderline each point (Xi, Yi), bring all quantized values of θ into ρ=xcos θ+ysin θ, wherein x and y indicates two The abscissa and ordinate for tieing up rectangular coordinate system, calculate corresponding ρ, and accumulator is added 1, M (ρ, θ)=M (ρ, θ)+1;
To borderline each point (Xi, Yi) after processing, analyze M (ρ, θ) if M (ρ, θ) > T and mean that there are a lines Section, M (ρ, θ) indicate that the fitting parameter of this line segment, T are a nonnegative integer, are determined by the priori knowledge of target in image 's;
Line segment in image is by M (ρ, θ) and (Xi, Yi) determine jointly, then breaking portion is connected.
5. a kind of defect inspection method of solar panel according to claim 1, which is characterized in that the step Gamma correction is edited by the gamma curve to image in S2, realizes the side that non-linear tone editor is carried out to image Method detects dark parts and light-colored part in signal, and increases the two ratio, wherein formula is used in gamma correction definition It indicates:A is a non-negative real number, VinIndicate the contrast of input picture, VoutIndicate processing output Contrast value afterwards;As γ < 1, becoming larger in the dynamic range of low gray level areas, the dynamic range in high gray value region becomes smaller, And then picture superposition, as γ > 1, the dynamic range in low ash angle value region becomes smaller, the dynamic model in high gray value region It encloses and becomes larger, and then picture contrast reduces.
6. a kind of defect inspection method of solar panel according to claim 1, which is characterized in that the step S3 process is as follows:
By n unit target solar battery picture X of segmentation1,X2,…XnBy column vector I1,I2…InIt indicates, testing image Matrix D indicates are as follows: D=[vec (I1)|vec(I2)|…|vec(In)]∈Rm×n, wherein m indicates the pixel of each wafer images Value, vec (In) indicate n-th of chip image array, Rm×nIndicate the real number matrix that row size is m and column size is n;
Using robust principal component algorithm, testing image matrix D is resolved into low-rank matrix A and sparse matrix E, matrix D ∈ Rm ×n, it is by a low-rank matrix A ∈ Rm×nWith a sparse matrix E ∈ Rm×nIt constitutes, i.e. D=A+E, wherein low-rank matrix A is The data matrix not polluted by noise or defect, sparse matrix E is small noise and the defect represented in the picture;
Restore to be found the nearest r dimensional linear subspace projection mapped in matrix D by the matrix D destroyed, be defined as follows: min Rank (A)+λ ‖ E ‖, wherein objective function is that zero norm ‖ E ‖, the λ expression of the order rank (A) and sparse matrix E of low-rank matrix A is made an uproar Weight shared by sound;
Rank of matrix is replaced with the nuclear norm approximation of matrix again, 1 norm of matrix is carried out approximate zero norm instead of matrix, obtained extensive Complex matrix A0, conversion results are as follows: min rank (A)+λ ∑ij|Eij|, wherein ∑ij|Eij| indicate own in sparse matrix E The sum of absolute value of element;
Using APG gradient approximate algorithm, completes the recovery to matrix D and handle.
7. a kind of defect inspection method of solar panel according to claim 6, which is characterized in that the step APG gradient approximate algorithm is to find out ming (x) at two qualifications x ∈ H and L (X)=b in S3, and wherein H indicates to meet | (x, y) | the value of all (x, y) under the conditions of≤‖ x ‖ ‖ y ‖, b are invariant, and g (x) is objective function, and L (X) indicates gradient limit Function is determined, on the section that it is defined, for arbitrary x1And x2, and any real number λ ∈ (0,1), meet g (λ x1+(1-λ)x2) ≤λg(x1)+(1-λ)x2, the recovery problem of low-rank matrix A is approximately as described below:
Relaxation expression formula is as follows:
The wherein ‖ of penalty function f (x)=0.5 L (X)-b ‖2, relaxation parameter μ > 0;
Then it is approached with a separable quadratic function F (X), obtains following formula:
WhereinG (x)=‖ A ‖+λ ‖ E1‖, Y indicate the target point of approach, and<>indicates point Product,Indicate the total derivative of f, LfIt is the general happiness thatch constant of benefit, ‖ E1‖ indicates ∑ij|Eij|;
Then it acquires
Wherein Ak+1And Ek+1The A and E of+1 iteration of kth are respectively indicated, argmin μ ‖ A ‖ indicates the A, μ when μ ‖ A ‖ is minimized > 0, it is relaxation parameter, operand is adjusted by adjusting μ, so that velocity of approch is adjusted, whereinAndIndicate the matrix A power of G kth time iteration,Indicate matrix E times of G kth time iteration Power;
Again by pairSVD decomposition is carried out, is iterated until convergence, you can get it final Approaching Results A and E.
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CN111915552A (en) * 2020-06-02 2020-11-10 华南理工大学 Method for detecting internal defects of solar cell
CN112150423A (en) * 2020-09-16 2020-12-29 江南大学 Longitude and latitude sparse mesh defect identification method
CN113470014A (en) * 2021-08-31 2021-10-01 江苏裕荣光电科技有限公司 Fault detection method of solar cell panel based on artificial intelligence
CN113570708A (en) * 2021-07-30 2021-10-29 重庆市特种设备检测研究院 Defect three-dimensional modeling method and device and computer readable storage medium
CN116577671A (en) * 2023-07-12 2023-08-11 中国华能集团清洁能源技术研究院有限公司 Battery system abnormality detection method and device
CN116773548A (en) * 2023-08-21 2023-09-19 泓浒(苏州)半导体科技有限公司 Wafer surface defect detection method and system
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