CN107220661B - Spectrum waveband selection method based on multi-mode fusion - Google Patents
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Abstract
The invention discloses a spectrum band selection method based on multi-mode fusion, which comprises the following steps: receiving a hyperspectral image sample and category label information; fusing spatial features and textural features in a plurality of spatial neighborhoods, and sequencing all wave bands according to correlation by using a correlation measurement criterion of the wave bands to obtain a wave band sequence 1; arranging all wave bands respectively based on the maximum value, the average value and the variance value of each row in the correlation matrix to obtain wave band sequences 2-4; weighting and summing the sequencing serial numbers of each wave band in the four wave band sequences to obtain the final sequencing serial number of each wave band; and taking the n wave bands with the final sequencing serial numbers at the top as the selection wave bands. According to the spectrum band selection method based on multi-mode fusion, rich multi-mode information is considered at the same time, the band correlation is calculated by adopting a supervision strategy, the priority of bands is considered, the redundancy among the selected bands is also considered, and the spectrum band which is more beneficial to the classification of hyperspectral images can be obtained.
Description
Technical Field
The invention relates to the field of hyperspectral image processing, and particularly provides a spectrum band selection method based on multimodal fusion.
Background
The hyperspectral remote sensing image has various modal information such as textures, correlation and spectra, wherein abundant spectral information can reflect diagnostic spectral characteristics for distinguishing different substances, so that the hyperspectral remote sensing can detect more ground object information, and the cognitive ability of human beings to the objective world is greatly improved.
More in the current research is to select a relevant metric function as a metric criterion of spectral sorting, and then sort the spectral information based on the metric function, wherein the band selection based on the spectral sorting only considers the band priority of a given task, often neglects the possible redundancy between the selected bands, and regarding the problem of redundancy, the current method for removing the redundant band is to remove the maximum correlation between a certain sorted band and all other bands as a redundant band, which often results in some bands with higher priority being replaced by bands with lower priority, and no relevant criterion is given to the trade-off between the band priority and the band redundancy.
In the other partial band selection algorithms, classification accuracy is used as a target function, and after an evaluation function is determined, an effective search strategy is required to ensure band selection accuracy. The royal nation and the like apply the bee colony algorithm to the wave band selection, the Gao and the like apply the particle swarm optimization algorithm to the wave band selection method, and in addition, the introduction of the technologies such as wave band clustering, sparse non-negative matrix factorization clustering and the like is also beneficial to the improvement of the wave band selection precision.
In summary, the conventional known technologies cannot fully consider the trade-off criteria between the correlation and redundancy among the spectral bands, and cannot well select a band with larger useful information, which is more beneficial for classifying the hyperspectral images.
Disclosure of Invention
In view of this, the present invention aims to provide a spectrum band selection method based on multi-modal fusion, so as to solve the problem that the existing spectrum band selection method cannot comprehensively consider the trade-off criteria between the correlation and redundancy among spectrum bands, and cannot well select a band with larger useful information, which is more beneficial for classifying hyperspectral images.
The technical scheme provided by the invention is as follows: a spectrum band selection method based on multi-mode fusion comprises the following steps:
s1, receiving hyperspectral image samples and class label information of the samples;
s2, fusing spatial features and textural features in a plurality of spatial neighborhoods, and sequencing all the wave bands from low to high according to the correlation by using the correlation measurement criterion of the wave bands to obtain a wave band sequence 1;
s3, adjusting all received hyperspectral image samples according to the wave band sequence 1, converting the hyperspectral image samples into a two-dimensional reflectivity matrix, calculating a correlation matrix among wave bands by using the two-dimensional reflectivity matrix, and arranging all the wave bands respectively based on the maximum value, the average value and the variance value of each row in the correlation matrix to obtain a wave band sequence 2, a wave band sequence 3 and a wave band sequence 4, wherein the wave band sequence is ordered based on the maximum value, the smaller the maximum value is, the more the wave band sequence is, the sorted based on the average value is, the smaller the average value is, the more the wave band sequence is, the sorted based on the variance value is, the larger the variance value is, the more the;
s4, weighting and summing the sequence numbers of each wave band in the four wave band sequences to obtain the final sequence number of each wave band;
and S5, selecting n wave bands with the top sequence numbers as selected wave bands, wherein n is the minimum wave band number when the classification accuracy tends to be stable.
Preferably, the S2 specifically includes the following steps:
s201, firstly, extracting local texture features of each sample under each wave band under each neighborhood by using an LBP operator, wherein the local texture features of the jth sample with the category marked as c under the wave band b under the omega neighborhood are calculated according to a formula (1)
Sample vjHaving different reflectivities in different wavelength bands, formula (1) vb,jRepresents the sample vjReflectivity at band b,Omega is a sample vjLocal neighborhood of mΩIs a sample vjThe number of neighbor samples in the outermost circle of the omega neighborhood;
s202, calculating local texture features of all samples under each category under each neighborhood under each waveband by using a formula (2), and forming texture feature vectors, wherein the local texture features of all samples marked as c under the category under the omega neighborhood under the waveband b are calculated according to the formula (2)
Wherein N iscRepresenting the number of samples with class mark c;
texture feature vector at band b for all samples with class label cIs represented by, whereinkExpressing the kth neighborhood, wherein k expresses the number of neighborhoods;
s203, calculating a correlation coefficient rho between any two categories by using a cosine measurement method for each waveband, counting the correlation coefficient of the waveband between any two categories, and calculating a new waveband correlation measurement criterion ξ, wherein the waveband b is in the category cxAnd cyThe correlation coefficient p between the two is calculated by the formula (3), and the band correlation metric criterion ξbCalculated by formula (4), wherein C in formula (4) represents the number of categories,
and S204, sequencing the relevance ξ of all the wave bands obtained in S203, wherein the wave band with the lowest relevance is the wave band with the high selected priority, and the wave band with the lowest relevance is arranged at the forefront of the sequence to finally obtain the wave band sequence 1.
More preferably, the S3 specifically includes the following steps:
s301, rearranging the wave bands of all the marked samples according to the wave band sequence 1 to obtain a two-dimensional reflectivity matrix V ∈ RB*MWhere B is the number of bands, M is the number of samples with class mark information, and each element V in the matrix Vb,mDenotes the reflectivity, R, of the mth sample in the b-th bandB*MRepresenting a matrix of B rows and M columns;
s302, calculating correlation matrixes D ∈ R of all wave bands by using the two-dimensional reflectivity matrix VB*BWherein each element of the correlation matrix DRepresenting the correlation between the band omega and the band, RB*BRepresenting a matrix of B rows and B columns, Vω,:Represents the value, V, of all samples at the band ω,:Values of all samples at the band;
and S303, arranging all the wave bands respectively based on the maximum value, the average value and the variance value of each row in the correlation matrix D to obtain a wave band sequence 2, a wave band sequence 3 and a wave band sequence 4, wherein the wave band sequences are ordered based on the maximum value, the smaller the maximum value is, the more the wave band sequences are, the smaller the average value is, the more the wave band sequences are, and the larger the variance value is, the more the wave band sequences are.
More preferably, the S4 is specifically as follows:
calculating the final sequence number of each band by formula (5)
Wherein the content of the first and second substances,denotes the position number, w, of band b in the r-th sequencerRepresents the weight of the r-th sequence in all sequencesAnd (4) weighing values.
The spectrum band selection method based on multi-mode fusion provided by the invention combines spatial neighborhood information and textural features to calculate the correlation of the same band among different classes, and sorts all bands according to the correlation; calculating the maximum value, the average value and the variance value of each row in the correlation matrix through the correlation matrix, then reordering all the wave bands based on the maximum value, the average value and the variance value respectively, so as to obtain 4 ordering sequences, then weighting and summing the ordering serial numbers of each wave band in the four wave band sequences to obtain the final ordering serial number of each wave band, finally selecting n wave bands with the front serial numbers as the selection wave bands according to the requirement, and removing the following wave bands, thus finishing the effective selection of the wave bands.
According to the spectrum band selection method based on multi-mode fusion, rich multi-mode information is considered, band correlation is calculated by adopting a supervision strategy, the priority of bands is considered, the redundancy among the selected bands is also considered, the redundant bands are removed by utilizing the correlation distribution among the bands, and the spectrum bands which are more beneficial to the classification of hyperspectral images are obtained.
Drawings
The invention is described in further detail below with reference to the following figures and embodiments:
FIG. 1 is a flow chart of a method of spectral band selection based on multimodal fusion;
FIG. 2 is a detailed flowchart of step 2;
FIG. 3 is a flowchart illustrating the step 3.
Detailed Description
The invention will be further explained with reference to specific embodiments, without limiting the invention.
As shown in FIG. 1, the present invention provides a spectral band selection method based on multi-modal fusion, comprising the following steps:
s1, receiving hyperspectral image samples and class label information of the samples;
s2, fusing spatial features and textural features in a plurality of spatial neighborhoods, and sequencing all the wave bands from low to high according to the correlation by using the correlation measurement criterion of the wave bands to obtain a wave band sequence 1;
s3, adjusting all received hyperspectral image samples according to the wave band sequence 1, converting the hyperspectral image samples into a two-dimensional reflectivity matrix, calculating a correlation matrix among wave bands by using the two-dimensional reflectivity matrix, and arranging all the wave bands respectively based on the maximum value, the average value and the variance value of each row in the correlation matrix to obtain a wave band sequence 2, a wave band sequence 3 and a wave band sequence 4, wherein the wave band sequence is ordered based on the maximum value, the smaller the maximum value is, the more the wave band sequence is, the sorted based on the average value is, the smaller the average value is, the more the wave band sequence is, the sorted based on the variance value is, the larger the variance value is, the more the;
s4, weighting and summing the sequence numbers of each wave band in the four wave band sequences to obtain the final sequence number of each wave band;
and S5, selecting n wave bands with the top sequence numbers as selected wave bands, wherein n is the minimum wave band number when the classification accuracy tends to be stable.
According to the spectrum band selection method based on multi-mode fusion, rich multi-mode information is considered at the same time, band correlation is calculated by adopting a supervision strategy, the priority of bands is considered, the redundancy among the selected bands is also considered, the redundant bands are removed by utilizing the correlation distribution among the bands, and the spectrum band which is more beneficial to the classification of hyperspectral images is obtained.
As an improvement of the technical solution, the S2 specifically includes the following steps:
s201, firstly, extracting local texture features of each sample under each wave band under each neighborhood by using an LBP operator, wherein the local texture features of the jth sample with the category marked as c under the wave band b under the omega neighborhood are calculated according to a formula (1)
Sample vjIn different wave bandsThe same reflectance, in equation (1), vb,jRepresents the sample vjThe reflectivity at the band b of the light,omega is a sample vjLocal neighborhood of mΩIs a sample vjThe number of neighbor samples in the outermost circle of the omega neighborhood;
s202, calculating local texture features of all samples under each category under each neighborhood under each waveband by using a formula (2), and forming texture feature vectors, wherein the local texture features of all samples marked as c under the category under the omega neighborhood under the waveband b are calculated according to the formula (2)
Wherein N iscRepresenting the number of samples with class mark c;
texture feature vector at band b for all samples with class label cIs represented by, whereinkExpressing the kth neighborhood, wherein k expresses the number of neighborhoods;
s203, calculating a correlation coefficient rho between any two categories by using a cosine measurement method for each waveband, counting the correlation coefficient of the waveband between any two categories, and calculating a new waveband correlation measurement criterion ξ, wherein the waveband b is in the category cxAnd cyThe correlation coefficient p between the two is calculated by the formula (3), and the band correlation metric criterion ξbCalculated by formula (4), wherein C in formula (4) represents the number of categories,
and S204, sequencing the relevance ξ of all the wave bands obtained in S203, wherein the wave band with the lowest relevance is the wave band with the high selected priority, and the wave band with the lowest relevance is arranged at the forefront of the sequence to finally obtain the wave band sequence 1.
As an improvement of the technical solution, the S3 specifically includes the following steps:
s301, rearranging the wave bands of all the marked samples according to the wave band sequence 1 to obtain a two-dimensional reflectivity matrix V ∈ RB*MWhere B is the number of bands, M is the number of samples with class mark information, and each element V in the matrix Vb,mDenotes the reflectivity, R, of the mth sample in the b-th bandB*MRepresenting a matrix of B rows and M columns;
s302, calculating correlation matrixes D ∈ R of all wave bands by using the two-dimensional reflectivity matrix VB*BWherein each element of the correlation matrix DRepresenting the correlation between the band omega and the band, RB*BRepresenting a matrix of B rows and B columns, Vω,:Represents the value, V, of all samples at the band ω,:Values of all samples at the band;
and S303, arranging all the wave bands respectively based on the maximum value, the average value and the variance value of each row in the correlation matrix D to obtain a wave band sequence 2, a wave band sequence 3 and a wave band sequence 4, wherein the wave band sequences are ordered based on the maximum value, the smaller the maximum value is, the more the wave band sequences are, the smaller the average value is, the more the wave band sequences are, and the larger the variance value is, the more the wave band sequences are.
As an improvement of the technical solution, the S4 is specifically as follows:
calculating the final sequence number of each band by formula (5)
Example 1
S1, receiving hyperspectral image samples and class label information of the samples;
taking indian dataset as an example, the input 145 x 200 hyperspectral image samples (where the samples include 145 x 145 samples and 200 wavebands), and the category label information corresponding to the dataset are 1-16 in total, representing 16 sample categories.
S2, fusing spatial features and textural features in a plurality of spatial neighborhoods, and sequencing all the wave bands from low to high according to the correlation by using the correlation measurement rule of the wave bands to obtain a wave band sequence 1;
the method comprises the following specific steps:
s201, taking 5 neighborhoods of 3 x 3, 5 x 5, 7 x 7, 9 x 9 and 11 x 11 of each sample, firstly, inputting all samples under each wave band of the 3 x 3 neighborhoods into an LBP filter function for filtering, outputting filtered values of 145 x 145 samples under the 3 x 3 neighborhoods of each wave band, taking the wave band 1 as an example, inputting 145 x 145 pixels in the wave band 1 into the LBP filter function, and utilizing a formula to input 145 pixels in the wave band 1 into the LBP filter functionAnd formulaAnd obtaining filtered values of 145 × 145 samples of the waveband 1 in the neighborhood of 3 × 3, calculating the values of all pixels of the waveband in the neighborhood of 5 after LBP filtering in the same way, and finally outputting a 4-dimensional matrix of 145 × 5 × 200, wherein the first two dimensions represent the number of samples, the third dimension represents the number of the neighborhood, and the fourth dimension represents the total number of the waveband.
S202, local texture features of all samples in each category in each wave band in each neighborhood are calculated, wherein the texture features of all samples marked as c in the category in the wave band b in the field omega are calculated according to a formula (2)
Wherein N iscIndicating the number of samples of the class labeled c. Take the example of calculating the local texture features of band 1 in 3 × 3 neighborhood for all samples in category 1: firstly, calculating the sum of LBP filtered values of all samples with the category of 1 under the wave band 1 in the 3 x 3 neighborhood, and dividing the sum by the number of all samples with the category of 1 under the wave band 1 to obtain the total LBP filtered valueIn the same way, can obtainThe values under these 5 neighborhoods, i.e.Similarly, the feature vectors of 16 classes in band 1 in 5 neighborhoods can be calculatedFinally, a 16 × 5 matrix can be obtained under each wave band, the first dimension represents the number of categories, and the second dimension represents the number of neighborhoods, that is, the feature vector of each category is understood to be composed of 5 neighborhood values.
S203, for each wave band, calculating a correlation coefficient between any two categories by using a cosine measurement method, and calculating the correlation ξ between different categories of each wave band according to a correlation measurement criterion, taking the wave band 1 as an example, any two categories c under the wave band 1xAnd cyPass throughCalculating the correlation coefficient between them, e.g. calculating the correlation coefficient between class 1 and class 2 in band 1, i.e. calculating the correlation coefficient between themBy passingThe correlation metric criteria to calculate ξ for each band.
And S204, sequencing the relevance ξ of all the wave bands obtained in S203, wherein the wave band with the lowest relevance is the wave band with the high selected priority, and the wave band with the lowest relevance is arranged at the forefront of the sequence to finally obtain the wave band sequence 1.
S3, adjusting all received hyperspectral image samples according to the wave band sequence 1 and converting the hyperspectral image samples into a two-dimensional reflectivity matrix V ∈ RB*MWhere B is the number of bands, M is the number of samples with class mark information, and each element V in the matrix Vb,mDenotes the reflectivity, R, of the mth sample in the b-th bandB*MRepresenting a matrix of B rows and M columns; the method comprises the following specific steps:
s301, in indian data set, adjusting original image samples according to the wave band sequence 1, and converting a three-dimensional matrix into a two-dimensional matrix, namely V ∈ RB*MB is the number of bands 200, and M is the number of samples with category label information 145 × 145 — 21025.
S302, utilizing the two-dimensional reflectivity matrix V ∈ R200*21025Calculating the correlation matrix D ∈ R of all the wave bands200 *200Wherein each element of the correlation matrix DRepresenting the correlation between the band omega and the band.
And S303, arranging all the wave bands respectively based on the maximum value, the average value and the variance value of each row in the correlation matrix D to obtain a wave band sequence 2, a wave band sequence 3 and a wave band sequence 4, wherein the wave band sequences are ordered based on the maximum value, the smaller the maximum value is, the more the wave band sequences are, the smaller the average value is, the more the wave band sequences are, and the larger the variance value is, the more the wave band sequences are.
After the above operations, the final position of band 1 at 187 in band sequence 1, 65 in band sequence 2, 89 in band sequence 3, 112 bits in band sequence 4, and band 1 is calculated by cross-validation a plurality of times, and w is taken as the one with higher accuracyrThe weight of (2). After the final sequence is obtained, through the curve trend of the accuracy, it is found that the accuracy basically tends to be flat when the first 120 wave bands are taken, so that the value of the wave band n is 120 for the data set.
Example 2
The method comprises the steps of selecting 80% of samples of each category on an indian data set for training, processing image samples by the method, finally classifying by an SVM classifier, wherein the accuracy of classification is 5% higher than that of the method of selecting all bands and then using the SVM classifier, so that the effectiveness of the method in the embodiment 1 can be proved, and 120 bands selected can be bands with larger useful information and better beneficial to classification of hyperspectral images.
The embodiments of the present invention have been written in a progressive manner with emphasis placed on the differences between the various embodiments, and similar elements may be found in relation to each other.
The embodiments of the present invention have been described in detail with reference to the drawings, but the present invention is not limited to the above embodiments, and various changes can be made within the knowledge of those skilled in the art without departing from the gist of the present invention.
Claims (2)
1. The method for selecting the spectral band based on the multi-mode fusion is characterized by comprising the following steps of:
s1, receiving hyperspectral image samples and class label information of the samples;
s2, fusing spatial features and textural features in a plurality of spatial neighborhoods, and sequencing all the wave bands from low to high according to the correlation by using the correlation measurement criterion of the wave bands to obtain a wave band sequence 1;
s3, adjusting all received hyperspectral image samples according to the wave band sequence 1, converting the hyperspectral image samples into a two-dimensional reflectivity matrix, calculating a correlation matrix among wave bands by using the two-dimensional reflectivity matrix, and arranging all the wave bands respectively based on the maximum value, the average value and the variance value of each row in the correlation matrix to obtain a wave band sequence 2, a wave band sequence 3 and a wave band sequence 4, wherein the wave band sequence is ordered based on the maximum value, the smaller the maximum value is, the more the wave band sequence is, the sorted based on the average value is, the smaller the average value is, the more the wave band sequence is, the sorted based on the variance value is, the larger the variance value is, the more the;
s4, weighting and summing the sequence numbers of each wave band in the four wave band sequences to obtain the final sequence number of each wave band;
s5, selecting n wave bands with the top sequence numbers as selected wave bands, wherein n is the minimum wave band number when the classification accuracy tends to be stable;
wherein, the S2 specifically includes the following steps:
s201, firstly, extracting local texture features of each sample under each wave band under each neighborhood by using an LBP operator, wherein the local texture features of the jth sample with the category marked as c under the wave band b under the omega neighborhood are calculated according to a formula (1)
Sample vjHaving different reflectivities in different wavelength bands, formula (1) vb,jRepresents the sample vjThe reflectivity at the band b of the light,omega is a sample vjLocal neighborhood of mΩIs a sample vjThe number of neighbor samples in the outermost circle of the omega neighborhood;
s202, calculating local texture features of all samples under each category under each neighborhood under each waveband by using a formula (2), and forming texture feature vectors, wherein the local texture features of all samples marked as c under the category under the omega neighborhood under the waveband b are calculated according to the formula (2)
Wherein N iscRepresenting the number of samples with class mark c;
texture feature vector at band b for all samples with class label cIs represented by, whereinkExpressing the kth neighborhood, wherein k expresses the number of neighborhoods;
s203, calculating a correlation coefficient rho between any two categories by using a cosine measurement method for each waveband, counting the correlation coefficient of the waveband between any two categories, and calculating a new waveband correlation measurement criterion ξ, wherein the waveband b is in the category cxAnd cyThe correlation coefficient p between the two is calculated by the formula (3), and the band correlation metric criterion ξbCalculated by formula (4), wherein C in formula (4) represents the number of categories,
s204, sequencing the relevance ξ of all the wave bands obtained in S203, wherein the wave band with the lowest relevance is the wave band with the high priority, and the wave band with the lowest relevance is arranged at the forefront of the sequence to finally obtain a wave band sequence 1;
wherein, the S3 specifically includes the following steps:
s301, rearranging the wave bands of all the marked samples according to the wave band sequence 1 to obtain a two-dimensional reflectivity matrix V ∈ RB *MWhere B is the number of bands, M is the number of samples with class mark information, and each element V in the matrix Vb,mDenotes the reflectivity, R, of the mth sample in the b-th bandB*MRepresenting a matrix of B rows and M columns;
s302, calculating correlation matrixes D ∈ R of all wave bands by using the two-dimensional reflectivity matrix VB*BWherein each element of the correlation matrix DRepresenting the correlation between the band omega and the band, RB*BRepresenting a matrix of B rows and B columns, Vω,:Represents the value, V, of all samples at the band ω,:Values of all samples at the band;
and S303, arranging all the wave bands respectively based on the maximum value, the average value and the variance value of each row in the correlation matrix D to obtain a wave band sequence 2, a wave band sequence 3 and a wave band sequence 4, wherein the wave band sequences are ordered based on the maximum value, the smaller the maximum value is, the more the wave band sequences are, the smaller the average value is, the more the wave band sequences are, and the larger the variance value is, the more the wave band sequences are.
2. The method for selecting spectral bands based on multimodal fusion according to claim 1, wherein: the S4 is specifically as follows:
calculating the final sequence number of each band by formula (5)
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