CN107239783A - Coal-rock identification method based on extension local binary patterns and regression analysis - Google Patents
Coal-rock identification method based on extension local binary patterns and regression analysis Download PDFInfo
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Abstract
The invention discloses the Coal-rock identification method based on extension local binary patterns and regression analysis.In the sample training stage, shot by camera, subgraph interception, a series of processing such as gray processing obtain several coal sample subgraphs and rock specimens subgraph, extract the extension local binary patterns characteristic vector of each subgraph, regression analysis is carried out to these characteristic vectors and its class label, obtain feature preferred compositions, feature based preferred compositions, obtain training sample preferred feature vector;In coal petrography cognitive phase, unknown classification sample subgraph is obtained by a series of processing, the extension local binary patterns characteristic vector of unknown classification sample subgraph is extracted, the feature preferred compositions based on the sample training stage obtain unknown classification sample preferred feature vector.Pass through the coal petrography classification belonging to the unknown classification sample of preferred feature vector determination between relatively more unknown classification sample and training sample.The present invention is with the obvious advantage in terms of flexibility, reliability, real-time.
Description
Technical field
The present invention relates to the Coal-rock identification method based on extension local binary patterns and regression analysis, belong to image recognition skill
Art field.
Background technology
Coal petrography identification refers to by various technological means automatic discrimination coals and rock.In exploitation of coal resources and transported
Cheng Zhong, there are many production links is needed to differentiate differentiation coal and rock, and such as coal mining machine roller is highly adjusted, mining mistake
Cash etc. is selected in process control, Raw Coal.Since 1950s, the world such as South Africa, Australia, Germany, the U.S., China
Main producing coal country expands a series of researchs to Coal-rock identification method, some representational achievements in research is generated in succession, such as
Natural Gamma ray probe method, radar detection system, infrared detecting method, active power detection method, vibration signal detection method, voice signal
Detection method etc..But there is following common problem in these methods:(1) the various sensings of installation and deployment on existing are needed
Device, associated apparatus structure is complicated, and manufacturing cost is high;(2) plant equipment such as coal-winning machine, development machine stress in coal production process
Complicated, vibration is violent, serious wear, and sensor deployment is relatively difficult, and its electronic circuit is also easily damaged, and device can
It is poor by property;(3) different types of mechanical carrier equipment is directed to, the selection of the type selecting and installation site of sensor has larger area
Not, this is accomplished by carrying out personalized customization, therefore its universality is not good.
By the observation to block coal, rock specimens, find coal and rock in terms of color, gloss, texture
There is larger difference.When being imaged by existing digital camera to coal and rock, the vision letter of coal and rock
Breath will necessarily be just hidden in the digital picture collected, therefore is proposed by excavating the visual information in coal petrography digital picture
To distinguish coal and rock.The existing Coal-rock identification method based on image procossing also exists in terms of robustness, discrimination
Larger room for promotion.
The content of the invention
In order to overcome the shortcomings of that existing Coal-rock identification method is present, the present invention is proposed based on extension local binary patterns and returned
Return the Coal-rock identification method of analysis, this method has the advantages that real-time, discrimination is high, robustness is good, is favorably improved existing
For the production efficiency and safe coefficient in colliery.
Coal-rock identification method of the present invention adopts the following technical scheme that realization, including sample training stage and coal petrography are known
In the other stage, comprise the following steps that:
RS1. in the sample training stage, collection m width coal sample images and m width rock specimens images, interception are free of non-coal
The subgraph of rock background simultaneously carries out gray processing processing to them, and coal sample subgraph and rock specimens subgraph after processing are designated as respectively
c1,c2,…,cmAnd s1,s2,…,sm;
RS2. setting sample radius r=2, spaced radial δ=2, sampling Neighborhood Number p=8 and the slip for medium filtering
Window size ωr=3 × 3, c is counted respectively1,c2,…,cmAnd s1,s2,…,smUse medium filtering and with rotation not
Become characteristic and uniform properties by description based on central point intensity, description based on neighborhood point intensity and based on radial difference
The robusts extension local binary patterns 3-dimensional joint histograms of this 3 kinds description sub-portfolios of description divided
With
RS3. respectivelyWithShape is changed into 1 dimension histogram, and then they are carried out
Normalized, obtains feature row vector α1,α2,…,αm∈R1×200And β1,β2,…,βm∈R1×200;
RS4. setting sample radius r=4, spaced radial δ=2, sampling Neighborhood Number p=8 and the slip for medium filtering
Window size ωr=5 × 5, c is counted respectively1,c2,…,cmAnd s1,s2,…,smUse medium filtering and with rotation not
Become characteristic and uniform properties by description based on central point intensity, description based on neighborhood point intensity and based on radial difference
The robusts extension local binary patterns 3-dimensional joint histograms of this 3 kinds description sub-portfolios of description divided
With
RS5. respectivelyWithShape is changed into 1 dimension histogram, and then they are returned
One change is handled, and obtains feature row vector η1,η2,…,ηm∈R1×200And μ1,μ2,…,μm∈R1×200;
RS6. setting sample radius r=6, spaced radial δ=2, sampling Neighborhood Number p=8 and the slip for medium filtering
Window size ωr=7 × 7, c is counted respectively1,c2,…,cmAnd s1,s2,…,smUse medium filtering and with rotation not
Become characteristic and uniform properties by description based on central point intensity, description based on neighborhood point intensity and based on radial difference
The robusts extension local binary patterns 3-dimensional joint histograms of this 3 kinds description sub-portfolios of description divided
With
RS7. respectivelyWithShape is changed into 1 dimension histogram, then carries out normalizing to them
Change is handled, and obtains feature row vector θ1,θ2,…,θm∈R1×200With
RS8. setting sample radius r=8, spaced radial δ=2, sampling Neighborhood Number p=8 and the slip for medium filtering
Window size ωr=9 × 9, c is counted respectively1,c2,…,cmAnd s1,s2,…,smUse medium filtering and with rotation not
Become characteristic and uniform properties by description based on central point intensity, description based on neighborhood point intensity and based on radial difference
The robusts extension local binary patterns 3-dimensional joint histograms of this 3 kinds description sub-portfolios of description divided
With
RS9. respectivelyWithShape is changed into 1 dimension histogram, and then they are returned
One change is handled, and obtains feature row vector κ1,κ2,…,κm∈R1×200And υ1,υ2,…,υm∈R1×200;
RS10. c is built respectively1,c2,…,cmAnd s1,s2,…,smPrimitive character column vector x1=[α1,η1,θ1,κ1]T,
x2=[α2,η2,θ2,κ2]T,…,xm=[αm,ηm,θm,κm]T∈R800×1With ...,Wherein T is transposition computing;
RS11. the primitive character matrix X=[x of coal petrography training sample are built1,x2,…,xm,xm+1,xm+2,…,x2m]T∈R2m ×800And its class label matrix Y ∈ R2m×2, wherein T is transposition computing, and the Y preceding column data of m rows the 1st is filled with 1, Y preceding m rows
The rear column data of m rows the 1st that 2nd column data is filled with 0, Y is filled with 0, the Y rear column data of m rows the 2nd and is filled with 1;
RS12., regularization parameter λ, iterations K and preferred feature number d are set, regression analysis is carried out to X and Y, had
Beneficial to the d row mark j on X for differentiating coal petrography1,j2,…,jd, wherein 1≤j1,j2,…,jd≤800;
RS13. X jth is successively extracted1,j2,…,jdRow, are then arranged to make up the final feature of coal petrography training sample by row
MatrixWherein X (colj1),X(col·j2),…,X
(col·jd) be respectively X jth1,j2,…,jdRow;
RS14. in coal petrography cognitive phase, unknown classification sample image is gathered, subgraph of the interception without non-coal petrography background is simultaneously right
It carries out gray processing processing, and the unknown classification subgraph after processing is designated as q;
RS15. setting sample radius r=2, spaced radial δ=2, sampling Neighborhood Number p=8 and the slip for medium filtering
Window size ωr=3 × 3, count q use medium filtering and with invariable rotary characteristic and uniform properties by based in
Description of heart point intensity, this 3 kinds description sub-portfolios of description based on neighborhood point intensity and description based on radial direction difference
Robust extension local binary patterns 3-dimensional joint histogram Hq;
RS16. HqShape is changed into 1 dimension histogram, and then it is normalized, and obtains feature row vector εq∈R1 ×200;
RS17. setting sample radius r=4, spaced radial δ=2, sampling Neighborhood Number p=8 and the slip for medium filtering
Window size ωr=5 × 5, count q use medium filtering and with invariable rotary characteristic and uniform properties by based in
Description of heart point intensity, this 3 kinds description sub-portfolios of description based on neighborhood point intensity and description based on radial direction difference
Robust extension local binary patterns 3-dimensional joint histogram Zq;
RS18. ZqShape is changed into 1 dimension histogram, and then it is normalized, and obtains feature row vector ρq∈R1 ×200;
RS19. setting sample radius r=6, spaced radial δ=2, sampling Neighborhood Number p=8 and the slip for medium filtering
Window size ωr=7 × 7, count q use medium filtering and with invariable rotary characteristic and uniform properties by based in
Description of heart point intensity, this 3 kinds description sub-portfolios of description based on neighborhood point intensity and description based on radial direction difference
Robust extension local binary patterns 3-dimensional joint histogram Fq;
RS20. FqShape is changed into 1 dimension histogram, and then it is normalized, and obtains feature row vector σq∈R1 ×200;
RS21. setting sample radius r=8, spaced radial δ=2, sampling Neighborhood Number p=8 and the slip for medium filtering
Window size ωr=9 × 9, count q use medium filtering and with invariable rotary characteristic and uniform properties by based in
Description of heart point intensity, this 3 kinds description sub-portfolios of description based on neighborhood point intensity and description based on radial direction difference
Robust extension local binary patterns 3-dimensional joint histogram Tq;
RS22. respectively TqShape is changed into 1 dimension histogram, and then it is normalized, and obtains feature row vector ξq∈
R1×200;
RS23. q primitive character row vector x is builtq=[εq,ρq,σq,ξq]∈R1×800;
RS24. x is successively extractedqJth1,j2,…,jdIndividual element, be then arranged to make up in order q final feature row to
AmountWherein xq(j1),xq(j2),…,xq(jd) it is respectively xqJth1,
j2,…,jdIndividual element;
RS25. by calculatingQ coal petrography classification is judged, if metSo judge q as coal;Otherwise, it is determined that q is rock, wherein i isRower, i=1,2 ..., 2m, j is
Row mark andElement numbers, j=1,2 ..., d,In be located at the i-th row jth arrange element,For
J-th of element.
Regression analysis described in step RS12 comprises the following steps:
RS1201. sign matrix U ∈ R are built2m×2, then it is located at the m element that preceding m rows the 1st are arranged with 1 initialization U,
It is located at the m element that preceding m rows the 2nd are arranged with -1 initialization U, is located at the m element that rear m rows the 1st are arranged with -1 initialization U, with 1
Initialize and be located at the m element that rear m rows the 2nd are arranged in U;
RS1202. data matrix X is built0∈R2m×800, then pass throughX is initialized by column0, its
Middle τ is X0With X row mark, τ=1,2 ..., 800,For X0τ row, xτArranged for X τ, mean (xτ) it is xτIn all members
The average of element;
RS1203. weight matrix W is built respectivelyold,Wnew∈R800×2With bias vector bold,bnew∈R2×1;
RS1204. W is first passed throughold=(X0)T{[X0(X0)T+λI2m]-1Y } initialization Wold, then pass through Wnew=WoldInitialization
Wnew, wherein T and -1 is respectively transposition computing and inversion operation, I2mFor 2m rank unit matrixs;
RS1205. data matrix L is builtb∈R2×2m, then pass throughInitialize Lb;
RS1206. first pass throughInitialize bold, then pass through bnew=boldInitialize bnew, wherein
Lb(colj) it is LbJth row, j is LbRow mark, j=1,2 ..., 2m;
RS1207. data matrix A, B, G ∈ R are built respectively2m×2, they are then initialized as null matrix;
RS1208. data matrix X is built1∈R2m×801, then initialize X with X1It is preceding 800 row, X1The 801st row institute
There is element to be initialized as 1000, i.e. X1=[X, 1000e2m]∈R2m×801, wherein e2m∈R2m×1It is 1 row for all elements
Vector;
RS1209. iteration sequence number k is defined1And it is initialized as 0;
RS1210. pass throughA is updated, wherein T is transposition computing, e2m∈R2m×1For all members
Element is 1 column vector;
RS1211. B=U ⊙ A are first passed through and update B, then negative value element in B is replaced with 0, wherein ⊙ is matrix
Hadamard accumulates computing;
RS1212. G is updated by G=(U ⊙ B)+Y, wherein ⊙ is Hadamard matrix nature computing;
RS1213. it is mathematical description
Optimization problem be designated as KeyProblem, seek KeyProblem solution W0∈R801×2, wherein | | | |2,1For matrix
L2,1- norm, with matrix Ψ ∈ Ru0×v0Exemplified by,I0 be Ψ rower, i0=1,
2 ..., u0, j0 are Ψ row mark, j0=1,2 ..., v0, and Ψ (i0, j0) is to be located at the element that the i-th 0 row jth 0 are arranged in Ψ, u0 and
V0 is respectively Ψ line number and columns;
RS1214. W is used0Preceding 800 row update Wnew;
RS1215. b is passed throughnew=1000 × [W0(row·801)]TUpdate bnew, wherein T is transposition computing, W0(row·
801) it is W0The 801st row;
RS1216. iteration sequence number k1From increasing 1;
If RS1217. meet simultaneouslyAnd k1<K, then use WnewValue more
New Wold, use bnewValue update bold, step RS1210-RS1217 are then performed, wherein | | | |FWith | | | |2Respectively square
The Frobenius norms of battle array and 2-norm of vector;Otherwise, step RS1218 is performed;
RS1218. weight square matrices W is built2∈R800×2, then pass through W2=Wnew⊙WnewInitialize W2, wherein ⊙ is
Hadamard matrix nature computing;
RS1219. weight vectors are builtThen pass throughUpdateIts
Middle W2And W (col1)2(col2) it is respectively W2The 1st row and the 2nd row;
RS1220. regression analysis is completed, is returnedIn by descending order arrange preceding d element sequence number j1,
j2,…,jdIt is used as the d row mark on X.
KeyProblem solution comprises the following steps described in step RS1213:
RS121301. data matrix X is built+∈R2m×(801+2m), then use X1Initialize X+Preceding 801 row, it is single with 2m ranks
Bit matrix I2mInitialize X+Rear 2m row, i.e. X+=[X1,I2m]∈R2m×(801+2m), wherein I2mFor 2m rank unit matrixs;
RS121302. diagonal entry vector φ ∈ R are built(801+2m)×1, then φ all elements are initialized as
1;
RS121303. iteration sequence number k is defined2And it is initialized as 0, definition and variable Sum are simultaneously initialized as -1000.000;
RS121304. diagonal matrix Λ ∈ R are built(801+2m)×(801+2m);
RS121305. Λ is passed throughjj=φj, j=1,2 ..., (801+2m) updates Λ the elements in a main diagonal successively, wherein
J is φ element numbers and Λ the elements in a main diagonal sequence number, φjFor φ j-th of element, ΛjjIt is diagonal for Λ j-th of master
Line element, that is, ΛjjTo be located at the element that jth row jth is arranged in Λ;
RS121306. data matrix W is built respectively0∈R801×2And W3,W4∈R(801+2m)×2, then they are initialized as
Null matrix;
RS121307. pass throughUpdate W3, wherein T and -1 be respectively transposition computing and
Inversion operation;
RS121308. W is used4=W3⊙W3Result of calculation update W4, wherein ⊙ is Hadamard matrix nature computing;
RS121309. φ=W is first passed through4(col·1)+W4(col2) φ is updated, if there is neutral element in φ, is used
0.000001 replaces neutral element, wherein W4And W (col1)4(col2) it is respectively W4The 1st row and the 2nd row;
RS121310. iteration sequence number k2From increasing 1;
If RS121311. meet simultaneouslyAnd k2<K, then pass throughUpdate
Sum, it is φ element numbers, φ then to perform step RS121305-RS121311, wherein jjFor φ j-th of element;It is no
Then, step RS121312 is performed;
RS121312. W is used3Preceding 801 row update W0;
RS121313. KeyProblem solution is completed, KeyProblem solution W is returned0。
Brief description of the drawings
Fig. 1 is the basic flow sheet of the Coal-rock identification method based on extension local binary patterns and regression analysis;
Fig. 2 is the basic flow sheet of regression analysis of the present invention;
Fig. 3 is the solution W of the present invention for seeking KeyProblem0Basic flow sheet;
Embodiment
On the basis of experimental analysis is carried out to the image of the ground Coal Gasification of Main Coal Species such as China Henan, Shanxi, Shaanxi and rock kind, this
Invention proposes the Coal-rock identification method based on extension local binary patterns and regression analysis, and this method can effectively differentiate coal
And rock.
The present invention is described in further detail with reference to the accompanying drawings and detailed description.
Reference picture 1, based on comprising the following steps that for the Coal-rock identification method for extending local binary patterns and regression analysis:
SS1. in the sample training stage, collection m width coal sample images and m width rock specimens images, interception are free of non-coal
The subgraph of rock background simultaneously carries out gray processing processing to them, and coal sample subgraph and rock specimens subgraph after processing are designated as respectively
c1,c2,…,cmAnd s1,s2,…,sm;
SS2. setting sample radius r=2, spaced radial δ=2, sampling Neighborhood Number p=8 and the slip for medium filtering
Window size ωr=3 × 3, c is counted respectively1,c2,…,cmAnd s1,s2,…,smUse medium filtering and with rotation not
Become characteristic and uniform properties by description based on central point intensity, description based on neighborhood point intensity and based on radial difference
The robusts extension local binary patterns 3-dimensional joint histograms of this 3 kinds description sub-portfolios of description divided
With
SS3. respectivelyWithShape is changed into 1 dimension histogram, and then they are carried out
Normalized, obtains feature row vector α1,α2,…,αm∈R1×200And β1,β2,…,βm∈R1×200;
SS4. setting sample radius r=4, spaced radial δ=2, sampling Neighborhood Number p=8 and the slip for medium filtering
Window size ωr=5 × 5, c is counted respectively1,c2,…,cmAnd s1,s2,…,smUse medium filtering and with rotation not
Become characteristic and uniform properties by description based on central point intensity, description based on neighborhood point intensity and based on radial difference
The robusts extension local binary patterns 3-dimensional joint histograms of this 3 kinds description sub-portfolios of description divided
With
SS5. respectivelyWithShape is changed into 1 dimension histogram, and then they are returned
One change is handled, and obtains feature row vector η1,η2,…,ηm∈R1×200And μ1,μ2,…,μm∈R1×200;
SS6. setting sample radius r=6, spaced radial δ=2, sampling Neighborhood Number p=8 and the slip for medium filtering
Window size ωr=7 × 7, c is counted respectively1,c2,…,cmAnd s1,s2,…,smUse medium filtering and with rotation not
Become characteristic and uniform properties by description based on central point intensity, description based on neighborhood point intensity and based on radial difference
The robusts extension local binary patterns 3-dimensional joint histograms of this 3 kinds description sub-portfolios of description divided
With
SS7. respectivelyWithShape is changed into 1 dimension histogram, then carries out normalizing to them
Change is handled, and obtains feature row vector θ1,θ2,…,θm∈R1×200With
SS8. setting sample radius r=8, spaced radial δ=2, sampling Neighborhood Number p=8 and the slip for medium filtering
Window size ωr=9 × 9, c is counted respectively1,c2,…,cmAnd s1,s2,…,smUse medium filtering and with rotation not
Become characteristic and uniform properties by description based on central point intensity, description based on neighborhood point intensity and based on radial difference
The robusts extension local binary patterns 3-dimensional joint histograms of this 3 kinds description sub-portfolios of description divided
With
SS9. respectivelyWithShape is changed into 1 dimension histogram, and then they are returned
One change is handled, and obtains feature row vector κ1,κ2,…,κm∈R1×200And υ1,υ2,…,υm∈R1×200;
SS10. c is built respectively1,c2,…,cmAnd s1,s2,…,smPrimitive character column vector x1=[α1,η1,θ1,κ1]T,
x2=[α2,η2,θ2,κ2]T,…,xm=[αm,ηm,θm,κm]T∈R800×1With ...,Wherein T is transposition computing;
SS11. the primitive character matrix X=[x of coal petrography training sample are built1,x2,…,xm,xm+1,xm+2,…,x2m]T∈R2m ×800And its class label matrix Y ∈ R2m×2, wherein T is transposition computing, and the Y preceding column data of m rows the 1st is filled with 1, Y preceding m rows
The rear column data of m rows the 1st that 2nd column data is filled with 0, Y is filled with 0, the Y rear column data of m rows the 2nd and is filled with 1;
SS12., regularization parameter λ, iterations K and preferred feature number d are set, regression analysis is carried out to X and Y, had
Beneficial to the d row mark j on X for differentiating coal petrography1,j2,…,jd, wherein 1≤j1,j2,…,jd≤800;
SS13. X jth is successively extracted1,j2,…,jdRow, are then arranged to make up the final feature of coal petrography training sample by row
MatrixX(col·j2),…,X(col·jd)]∈R2m×d, wherein X (colj1),X(col·
j2),…,X(col·jd) be respectively X jth1,j2,…,jdRow;
SS14. in coal petrography cognitive phase, unknown classification sample image is gathered, subgraph of the interception without non-coal petrography background is simultaneously right
It carries out gray processing processing, and the unknown classification subgraph after processing is designated as q;
SS15. setting sample radius r=2, spaced radial δ=2, sampling Neighborhood Number p=8 and the slip for medium filtering
Window size ωr=3 × 3, count q use medium filtering and with invariable rotary characteristic and uniform properties by based in
Description of heart point intensity, this 3 kinds description sub-portfolios of description based on neighborhood point intensity and description based on radial direction difference
Robust extension local binary patterns 3-dimensional joint histogram Hq;
SS16. HqShape is changed into 1 dimension histogram, and then it is normalized, and obtains feature row vector εq∈R1 ×200;
SS17. setting sample radius r=4, spaced radial δ=2, sampling Neighborhood Number p=8 and the slip for medium filtering
Window size ωr=5 × 5, count q use medium filtering and with invariable rotary characteristic and uniform properties by based in
Description of heart point intensity, this 3 kinds description sub-portfolios of description based on neighborhood point intensity and description based on radial direction difference
Robust extension local binary patterns 3-dimensional joint histogram Zq;
SS18. ZqShape is changed into 1 dimension histogram, and then it is normalized, and obtains feature row vector ρq∈R1 ×200;
SS19. setting sample radius r=6, spaced radial δ=2, sampling Neighborhood Number p=8 and the slip for medium filtering
Window size ωr=7 × 7, count q use medium filtering and with invariable rotary characteristic and uniform properties by based in
Description of heart point intensity, this 3 kinds description sub-portfolios of description based on neighborhood point intensity and description based on radial direction difference
Robust extension local binary patterns 3-dimensional joint histogram Fq;
SS20. FqShape is changed into 1 dimension histogram, and then it is normalized, and obtains feature row vector σq∈R1 ×200;
SS21. setting sample radius r=8, spaced radial δ=2, sampling Neighborhood Number p=8 and the slip for medium filtering
Window size ωr=9 × 9, count q use medium filtering and with invariable rotary characteristic and uniform properties by based in
Description of heart point intensity, this 3 kinds description sub-portfolios of description based on neighborhood point intensity and description based on radial direction difference
Robust extension local binary patterns 3-dimensional joint histogram Tq;
SS22. respectively TqShape is changed into 1 dimension histogram, and then it is normalized, and obtains feature row vector ξq∈
R1×200;
SS23. q primitive character row vector x is builtq=[εq,ρq,σq,ξq]∈R1×800;
SS24. x is successively extractedqJth1,j2,…,jdIndividual element, be then arranged to make up in order q final feature row to
AmountWherein xq(j1),xq(j2),…,xq(jd) it is respectively xqJth1,
j2,…,jdIndividual element;
SS25. by calculatingQ coal petrography classification is judged, if metSo judge q as coal;Otherwise, it is determined that q is rock, wherein i isRower, i=1,2 ..., 2m, j is
Row mark andElement numbers, j=1,2 ..., d,ForIn be located at the i-th row jth arrange element,For
J-th of element.
Reference picture 2, regression analysis described in step SS12 is comprised the following steps that:
SS1201. sign matrix U ∈ R are built2m×2, then it is located at the m element that preceding m rows the 1st are arranged with 1 initialization U,
It is located at the m element that preceding m rows the 2nd are arranged with -1 initialization U, is located at the m element that rear m rows the 1st are arranged with -1 initialization U, with 1
Initialize and be located at the m element that rear m rows the 2nd are arranged in U;
SS1202. data matrix X is built0∈R2m×800, then pass throughX is initialized by column0, its
Middle τ is X0With X row mark, τ=1,2 ..., 800,For X0τ row, xτArranged for X τ, mean (xτ) it is xτIn all members
The average of element;
SS1203. weight matrix W is built respectivelyold,Wnew∈R800×2With bias vector bold,bnew∈R2×1;
SS1204. W is first passed throughold=(X0)T{[X0(X0)T+λI2m]-1Y } initialization Wold, then pass through Wnew=WoldInitialization
Wnew, wherein T and -1 is respectively transposition computing and inversion operation, I2mFor 2m rank unit matrixs;
SS1205. data matrix L is builtb∈R2×2m, then pass throughInitialize Lb;
SS1206. first pass throughInitialize bold, then pass through bnew=boldInitialize bnew, wherein
Lb(colj) it is LbJth row, j is LbRow mark, j=1,2 ..., 2m;
SS1207. data matrix A, B, G ∈ R are built respectively2m×2, they are then initialized as null matrix;
SS1208. data matrix X is built1∈R2m×801, then initialize X with X1It is preceding 800 row, X1The 801st row institute
There is element to be initialized as 1000, i.e. X1=[X, 1000e2m]∈R2m×801, wherein e2m∈R2m×1It is 1 row for all elements
Vector;
SS1209. iteration sequence number k is defined1And it is initialized as 0;
SS1210. pass throughA is updated, wherein T is transposition computing, e2m∈R2m×1For all members
Element is 1 column vector;
SS1211. B=U ⊙ A are first passed through and update B, then negative value element in B is replaced with 0, wherein ⊙ is matrix
Hadamard accumulates computing;
SS1212. G is updated by G=(U ⊙ B)+Y, wherein ⊙ is Hadamard matrix nature computing;
SS1213. it is mathematical description
Optimization problem be designated as KeyProblem, seek KeyProblem solution W0∈R801×2, wherein | | | |2,1For matrix
L2,1- norm, with matrix Ψ ∈ Ru0×v0Exemplified by,I0 be Ψ rower, i0=1,
2 ..., u0, j0 are Ψ row mark, j0=1,2 ..., v0, and Ψ (i0, j0) is to be located at the element that the i-th 0 row jth 0 are arranged in Ψ, u0 and
V0 is respectively Ψ line number and columns;
SS1214. W is used0Preceding 800 row update Wnew;
SS1215. b is passed throughnew=1000 × [W0(row·801)]TUpdate bnew, wherein T is transposition computing, W0(row·
801) it is W0The 801st row;
SS1216. iteration sequence number k1From increasing 1;
If SS1217. meet simultaneouslyAnd k1<K, then use WnewValue more
New Wold, use bnewValue update bold, step SS1210-SS1217 are then performed, wherein | | | |FWith | | | |2Respectively square
The Frobenius norms of battle array and 2-norm of vector;Otherwise, step SS1218 is performed;
SS1218. weight square matrices W is built2∈R800×2, then pass through W2=Wnew⊙WnewInitialize W2, wherein ⊙ is
Hadamard matrix nature computing;
SS1219. weight vectors are builtThen pass throughUpdateIts
Middle W2And W (col1)2(col2) it is respectively W2The 1st row and the 2nd row;
SS1220. regression analysis is completed, is returnedIn by descending order arrange preceding d element sequence number j1,
j2,…,jdIt is used as the d row mark on X.
Reference picture 3, seeks the solution W of KeyProblem described in step SS12130Comprise the following steps that:
SS121301. data matrix X is built+∈R2m×(801+2m), then use X1Initialize X+Preceding 801 row, it is single with 2m ranks
Bit matrix I2mInitialize X+Rear 2m row, i.e. X+=[X1,I2m]∈R2m×(801+2m), wherein I2mFor 2m rank unit matrixs;
SS121302. diagonal entry vector φ ∈ R are built(801+2m)×1, then φ all elements are initialized as
1;
SS121303. iteration sequence number k is defined2And it is initialized as 0, definition and variable Sum are simultaneously initialized as -1000.000;
SS121304. diagonal matrix Λ ∈ R are built(801+2m)×(801+2m);
SS121305. Λ is passed throughjj=φj, j=1,2 ..., (801+2m) updates Λ the elements in a main diagonal successively, wherein
J is φ element numbers and Λ the elements in a main diagonal sequence number, φjFor φ j-th of element, ΛjjIt is diagonal for Λ j-th of master
Line element, that is, ΛjjTo be located at the element that jth row jth is arranged in Λ;
SS121306. data matrix W is built respectively0∈R801×2And W3,W4∈R(801+2m)×2, then they are initialized as
Null matrix;
SS121307. pass throughUpdate W3, wherein T and -1 be respectively transposition computing and
Inversion operation;
SS121308. W is used4=W3⊙W3Result of calculation update W4, wherein ⊙ is Hadamard matrix nature computing;
SS121309. φ=W is first passed through4(col·1)+W4(col2) φ is updated, if there is neutral element in φ, is used
0.000001 replaces neutral element, wherein W4And W (col1)4(col2) it is respectively W4The 1st row and the 2nd row;
SS121310. iteration sequence number k2From increasing 1;
If SS121311. meet simultaneouslyAnd k2<K, then pass throughUpdate
Sum, it is φ element numbers, φ then to perform step SS121305-SS121311, wherein jjFor φ j-th of element;It is no
Then, step SS121312 is performed;
SS121312. W is used3Preceding 801 row update W0;
SS121313. KeyProblem solution is completed, KeyProblem solution W is returned0。
It is pointed out that embodiment described above is used to further illustrate the present invention, embodiment is not construed as
Limit the scope of the present invention.
Claims (3)
1. the Coal-rock identification method based on extension local binary patterns and regression analysis, it is characterised in that comprise the following steps:
QS1. in the sample training stage, collection m width coal sample images and m width rock specimens images, interception is without the non-coal petrography back of the body
The subgraph of scape simultaneously carries out gray processing processing to them, and coal sample subgraph and rock specimens subgraph after processing are designated as c respectively1,
c2,…,cmAnd s1,s2,…,sm;
QS2. sample radius r=2, spaced radial δ=2, sampling Neighborhood Number p=8 and the sliding window for medium filtering are set
Size ωr=3 × 3, c is counted respectively1,c2,…,cmAnd s1,s2,…,smUse medium filtering and special with invariable rotary
Property and uniform properties by based on central point intensity description son, based on neighborhood point intensity description son and based on radial direction difference
The robust extension local binary patterns 3-dimensional joint histogram of this 3 kinds description sub-portfolios of descriptionWith
QS3. respectivelyWithShape is changed into 1 dimension histogram, then carries out normalizing to them
Change is handled, and obtains feature row vector α1,α2,…,αm∈R1×200And β1,β2,…,βm∈R1×200;
QS4. sample radius r=4, spaced radial δ=2, sampling Neighborhood Number p=8 and the sliding window for medium filtering are set
Size ωr=5 × 5, c is counted respectively1,c2,…,cmAnd s1,s2,…,smUse medium filtering and special with invariable rotary
Property and uniform properties by based on central point intensity description son, based on neighborhood point intensity description son and based on radial direction difference
The robust extension local binary patterns 3-dimensional joint histogram of this 3 kinds description sub-portfolios of descriptionWith
QS5. respectivelyWithShape is changed into 1 dimension histogram, and then they are normalized
Processing, obtains feature row vector η1,η2,…,ηm∈R1×200And μ1,μ2,…,μm∈R1×200;
QS6. sample radius r=6, spaced radial δ=2, sampling Neighborhood Number p=8 and the sliding window for medium filtering are set
Size ωr=7 × 7, c is counted respectively1,c2,…,cmAnd s1,s2,…,smUse medium filtering and special with invariable rotary
Property and uniform properties by based on central point intensity description son, based on neighborhood point intensity description son and based on radial direction difference
The robust extension local binary patterns 3-dimensional joint histogram of this 3 kinds description sub-portfolios of descriptionWith
QS7. respectivelyWithShape is changed into 1 dimension histogram, and place then is normalized to them
Reason, obtains feature row vector θ1,θ2,…,θm∈R1×200With
QS8. sample radius r=8, spaced radial δ=2, sampling Neighborhood Number p=8 and the sliding window for medium filtering are set
Size ωr=9 × 9, c is counted respectively1,c2,…,cmAnd s1,s2,…,smUse medium filtering and special with invariable rotary
Property and uniform properties by based on central point intensity description son, based on neighborhood point intensity description son and based on radial direction difference
The robust extension local binary patterns 3-dimensional joint histogram of this 3 kinds description sub-portfolios of descriptionWith
QS9. respectivelyWithShape is changed into 1 dimension histogram, and then they are normalized
Processing, obtains feature row vector κ1,κ2,…,κm∈R1×200And υ1,υ2,…,υm∈R1×200;
QS10. c is built respectively1,c2,…,cmAnd s1,s2,…,smPrimitive character column vector x1=[α1,η1,θ1,κ1]T,x2=
[α2,η2,θ2,κ2]T,…,xm=[αm,ηm,θm,κm]T∈R800×1With WhereinTFor transposition computing;
QS11. the primitive character matrix X=[x of coal petrography training sample are built1,x2,…,xm,xm+1,xm+2,…,x2m]T∈R2m×800
And its class label matrix Y ∈ R2m×2, whereinTFor transposition computing, the Y preceding column data of m rows the 1st is filled with 1, Y preceding m rows the 2nd
The rear column data of m rows the 1st that column data is filled with 0, Y is filled with 0, the Y rear column data of m rows the 2nd and is filled with 1;
QS12., regularization parameter λ, iterations K and preferred feature number d are set, regression analysis is carried out to X and Y, is conducive to
Differentiate the d row mark j on X of coal petrography1,j2,…,jd, wherein 1≤j1,j2,…,jd≤800;
QS13. X jth is successively extracted1,j2,…,jdRow, are then lined up the final eigenmatrix of coal petrography training sample by rowWherein X (colj1),X(col·j2),…,X
(col·jd) be respectively X jth1,j2,…,jdRow;
QS14. in coal petrography cognitive phase, unknown classification sample image is gathered, subgraph of the interception without non-coal petrography background simultaneously enters to it
Row gray processing processing, the unknown classification subgraph after processing is designated as q;
QS15. sample radius r=2, spaced radial δ=2, sampling Neighborhood Number p=8 and the sliding window for medium filtering are set
Size ωr=3 × 3, count q use medium filtering and with invariable rotary characteristic and uniform properties by based on central point
Description of intensity, this 3 kinds description sub-portfolios of description based on neighborhood point intensity and description based on radial direction difference are formed
Robust extension local binary patterns 3-dimensional joint histogram Hq;
QS16. HqShape is changed into 1 dimension histogram, and then it is normalized, and obtains feature row vector εq∈R1×200;
QS17. sample radius r=4, spaced radial δ=2, sampling Neighborhood Number p=8 and the sliding window for medium filtering are set
Size ωr=5 × 5, count q use medium filtering and with invariable rotary characteristic and uniform properties by based on central point
Description of intensity, this 3 kinds description sub-portfolios of description based on neighborhood point intensity and description based on radial direction difference are formed
Robust extension local binary patterns 3-dimensional joint histogram Zq;
QS18. ZqShape is changed into 1 dimension histogram, and then it is normalized, and obtains feature row vector ρq∈R1×200;
QS19. sample radius r=6, spaced radial δ=2, sampling Neighborhood Number p=8 and the sliding window for medium filtering are set
Size ωr=7 × 7, count q use medium filtering and with invariable rotary characteristic and uniform properties by based on central point
Description of intensity, this 3 kinds description sub-portfolios of description based on neighborhood point intensity and description based on radial direction difference are formed
Robust extension local binary patterns 3-dimensional joint histogram Fq;
QS20. FqShape is changed into 1 dimension histogram, and then it is normalized, and obtains feature row vector σq∈R1×200;
QS21. sample radius r=8, spaced radial δ=2, sampling Neighborhood Number p=8 and the sliding window for medium filtering are set
Size ωr=9 × 9, count q use medium filtering and with invariable rotary characteristic and uniform properties by based on central point
Description of intensity, this 3 kinds description sub-portfolios of description based on neighborhood point intensity and description based on radial direction difference are formed
Robust extension local binary patterns 3-dimensional joint histogram Tq;
QS22. respectively TqShape is changed into 1 dimension histogram, and then it is normalized, and obtains feature row vector ξq∈R1 ×200;
QS23. q primitive character row vector x is builtq=[εq,ρq,σq,ξq]∈R1×800;
QS24. x is successively extractedqJth1, j2..., jdIndividual element, is then arranged to make up q final feature row vector in orderWherein xq(j1),xq(j2),…,xq(jd) it is respectively xqJth1,
j2,…,jdIndividual element;
QS25. by calculatingQ coal petrography classification is judged, if meeting
Then judge q as coal;Otherwise, it is determined that q is rock, wherein i isRower, i=1,2 ..., 2m, j isRow mark and
Element numbers, j=1,2 ..., d,ForIn be located at the i-th row jth arrange element,ForJ-th yuan
Element.
2. the Coal-rock identification method according to claim 1 based on extension local binary patterns and regression analysis, its feature
It is, the regression analysis comprises the following steps:
QS1201. sign matrix U ∈ R are built2m×2, then it is located at the m element that preceding m rows the 1st are arranged with 1 initialization U, with the beginning of -1
It is located at the m element that preceding m rows the 2nd are arranged in beginningization U, is located at the m element that rear m rows the 1st are arranged with -1 initialization U, with 1 initialization
It is located at the m element that rear m rows the 2nd are arranged in U;
QS1202. data matrix X is built0∈R2m×800, then pass throughX is initialized by column0, wherein τ is
X0With X row mark, τ=1,2 ..., 800,For X0τ row, xτArranged for X τ, mean (xτ) it is xτMiddle all elements
Average;
QS1203. weight matrix W is built respectivelyold,Wnew∈R800×2With bias vector bold,bnew∈R2×1;
QS1204. first pass throughInitialize Wold, then pass through Wnew=WoldInitially
Change Wnew, whereinTWith-1Respectively transposition computing and inversion operation, I2mFor 2m rank unit matrixs;
QS1205. data matrix L is builtb∈R2×2m, then pass throughInitialize Lb;
QS1206. first pass throughInitialize bold, then pass through bnew=boldInitialize bnew, wherein Lb
(colj) it is LbJth row, j is LbRow mark, j=1,2 ..., 2m;
QS1207. data matrix A, B, G ∈ R are built respectively2m×2, they are then initialized as null matrix;
QS1208. data matrix X is built1∈R2m×801, then initialize X with X1It is preceding 800 row, X1The 801st row all members
Element is initialized as 1000, i.e. X1=[X, 1000e2m]∈R2m×801, wherein e2m∈R2m×1For all elements be 1 row to
Amount;
QS1209. iteration sequence number k is defined1And it is initialized as 0;
QS1210. pass throughA is updated, whereinTFor transposition computing, e2m∈R2m×1It is for all elements
1 column vector;
QS1211. first pass through B=U ⊙ A update B, then with 0 replace B in negative value element, wherein ⊙ be Hadamard matrix nature
Computing;
QS1212. G is updated by G=(U ⊙ B)+Y, wherein ⊙ is Hadamard matrix nature computing;
QS1213. it is mathematical description
Optimization problem be designated as KeyProblem, seek KeyProblem solution W0∈R801×2, wherein | | | |2,1For matrix
l2,1- norm;
QS1214. W is used0Preceding 800 row update Wnew;
QS1215. b is passed throughnew=1000 × [W0(row·801)]TUpdate bnew, whereinTFor transposition computing, W0(row801) it is
W0The 801st row;
QS1216. iteration sequence number k1From increasing 1;
If QS1217. meet simultaneouslyAnd k1<K, then use WnewValue update Wold,
Use bnewValue update bold, step QS1210-QS1217 are then performed, wherein | | | |FWith | | | |2Respectively matrix
2-norm of Frobenius norms and vector;Otherwise, step QS1218 is performed;
QS1218. weight square matrices W is built2∈R800×2, then pass through W2=Wnew⊙WnewInitialize W2, wherein ⊙ is matrix
Hadamard product computing;
QS1219. weight vectors are builtThen pass throughUpdateWherein W2
And W (col1)2(col2) it is respectively W2The 1st row and the 2nd row;
QS1220. regression analysis is completed, is returnedIn by descending order arrange preceding d element sequence number j1,j2,…,jd
It is used as the d row mark on X.
3. the Coal-rock identification method according to claim 2 based on extension local binary patterns and regression analysis, its feature
It is, the solution of the KeyProblem comprises the following steps:
QS121301. data matrix X is built+∈R2m×(801+2m), then use X1Initialize X+It is preceding 801 row, with 2m rank unit matrixs
I2mInitialize X+Rear 2m row, i.e. X+=[X1,I2m]∈R2m×(801+2m), wherein I2mFor 2m rank unit matrixs;
QS121302. diagonal entry vector φ ∈ R are built(801+2m)×1, φ all elements are then initialized as 1;
QS121303. iteration sequence number k is defined2And it is initialized as 0, definition and variable Sum are simultaneously initialized as -1000.000;
QS121304. diagonal matrix Λ ∈ R are built(801+2m)×(801+2m);
QS121305. Λ is passed throughjj=φj, j=1,2 ..., (801+2m) updates Λ the elements in a main diagonal successively, and wherein j is
φ element numbers and Λ the elements in a main diagonal sequence number, φjFor φ j-th of element, ΛjjFor Λ j-th of leading diagonal
Element, that is, ΛjjTo be located at the element that jth row jth is arranged in Λ;
QS121306. data matrix W is built respectively0∈R801×2And W3,W4∈R(801+2m)×2, they are then initialized as zero moment
Battle array;
QS121307. pass throughUpdate W3, whereinTWith-1Respectively transposition computing and fortune of inverting
Calculate;
QS121308. W is used4=W3⊙W3Result of calculation update W4, wherein ⊙ is Hadamard matrix nature computing;
QS121309. φ=W is first passed through4(col·1)+W4(col2) φ is updated, if there is neutral element in φ, is used
0.000001 replaces neutral element, wherein W4And W (col1)4(col2) it is respectively W4The 1st row and the 2nd row;
QS121310. iteration sequence number k2From increasing 1;
If QS121311. meet simultaneouslyAnd k2<K, then pass throughSum is updated, so
It is φ element numbers, φ to perform step QS121305-QS121311, wherein j afterwardsjFor φ j-th of element;Otherwise, perform
Step QS121312;
QS121312. W is used3Preceding 801 row update W0;
QS121313. KeyProblem solution is completed, KeyProblem solution W is returned0。
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