CN106960221A - A kind of hyperspectral image classification method merged based on spectral signature and space characteristics and system - Google Patents

A kind of hyperspectral image classification method merged based on spectral signature and space characteristics and system Download PDF

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CN106960221A
CN106960221A CN201710150041.2A CN201710150041A CN106960221A CN 106960221 A CN106960221 A CN 106960221A CN 201710150041 A CN201710150041 A CN 201710150041A CN 106960221 A CN106960221 A CN 106960221A
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high spectrum
space characteristics
spectrum image
spectral
spectral signature
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张海军
徐琳贺
王双
姬玉柱
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Shenzhen Graduate School Harbin Institute of Technology
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Abstract

The present invention provides a kind of hyperspectral image classification method merged based on spectral signature and space characteristics and system, belongs to remote sensing image classification field.The present invention includes carrying out space characteristics extraction to it according to the connectivity of region of high spectrum image;And feature denoising is carried out to spectral signature and space characteristics respectively;Then Fusion Features are carried out to spectral signature and space characteristics;The classification of unknown classification pixel on high spectrum image is predicted by disaggregated model again;Present invention additionally comprises space characteristics extraction module, feature denoising module, Fusion Features module and sort module.The beneficial effects of the invention are as follows:Low-rank expression and Fusion Features are carried out by the spectral signature to high spectrum image and space characteristics, the nicety of grading of high spectrum image is lifted, there is higher accuracy rate to the prediction of unknown classification pixel classification.

Description

A kind of hyperspectral image classification method merged based on spectral signature and space characteristics and System
Technical field
The invention belongs to Classification in Remote Sensing Image field, more particularly to a kind of EO-1 hyperion merged based on spectral signature and space characteristics Image classification method and system.
Background technology
The data that high spectrum resolution remote sensing technique is collected have contained substantial amounts of information, can be by observed object by these information Spectral characteristic closely connected with spatial geographic information, and the potential feature of many materials is by analyzing high-spectral data Just it is easy to be mined out, these are the major reasons that high spectrum image is favored by increasing remote sensing expert.Bloom Spectrum remote sensing technology not only obtains the spectral signature of earth object, while remaining observed object and other earth objects of surrounding again Relation, produced image contained abundant information, and strong support is provided using data and analyze data for us. The identification of ground target object and the prevailing scenario that classification is high-spectral data application.The major function of ground object target classification It is the unique classification of pixel point prediction one to unknown classification on image, this classification represents the capped content in this block region, Such as building, vegetation, crops etc., researcher or related practitioner can have found atural object from sorted image The regularity of distribution.
For object identification and classification problem, traditional method is visual interpretation method.This method needs expertise and reality Border geography information is investigated and the outstanding space associative ability of binding personnel constructs the geographical distribution of entire image.But simultaneously Not all is engaged in the priori in terms of the researchers of remote sensing images has abundant remote sensing and geography, completes such one This needs to spend substantial amounts of human and material resources and time for individual work, and this method is not a kind of wise selection;In addition, evaluation one The information that width remote sensing images are reflected, it is only far from enough by visual interpretation.It is continuous with subjects such as remote sensing technology and computers Intersect and merge, therefore the required precision classified to remote sensing images using computer technology also more and more higher, is improved or sought It is one of study hotspot in the last few years to look for new Classifying Method in Remote Sensing Image.
High spectrum image is during image is formed, and can receive is influenceed by extraneous factor, such as:The irradiation of the sun Solar radiation is gushed in angle, the angle of perceptron vision, atmospheric scattering, in the scene the secondary photograph of the light of adjacent objects reflection It is bright, the shade of irradiation, the scattering and absorption of atmospheric reflectance radiation, the spatially and spectrally distortion of sensor.In the different time and Under meteorological condition, the spectral signature of same geographic area may produce larger difference, so high spectrum image is used alone Spectral signature can produce larger error as the foundation result of image classification.
The content of the invention
For defect present in prior art or deficiency, the technical problems to be solved by the invention are:One kind is provided to melt The spectral signature of high spectrum image and the hyperspectral image classification method and system of space characteristics are closed, classification hyperspectral imagery is improved Accuracy rate.
To achieve these goals, the technical scheme that the present invention takes is a kind of based on spectral signature and space characteristics to provide The hyperspectral image classification method and system of fusion.
A. space characteristics extraction is carried out to high spectrum image according to the connectivity of region of high spectrum image;
B. the spectral signature and space characteristics to high spectrum image carry out feature denoising respectively;
C. Fusion Features are carried out to the spectral signature and space characteristics of high spectrum image by characteristic weighing;
D. unknown classification pixel on high spectrum image is classified by disaggregated model.
This method divides the image into fritter, and each fritter uses matrix low rank decomposition and combines the synchronization of dictionary matrix Study, can go back the low-rank of original matrix, that is, reduce the pollution of noise, multiple features fusion is carried out by way of weighting, is obtained Classification model construction is carried out in new feature, feeding support vector machine classifier, it is higher accurate to have for pixel class prediction Rate.
As a further improvement on the present invention, expressed by the matrix low-rank based on high spectrum image region division to bloom The spectral signature and space characteristics of spectrogram picture carry out feature denoising respectively.
As a further improvement on the present invention, the step A comprises the following steps:
A1. the size and attribute of attribute filter are selected;
A2. the attribute filter is slided on high spectrum image, changes the pixel value of attribute filter overlay area, and The property value of computation attribute filter overlay area, the property value is average, variance, area or girth;
A3. { T }={ M is passed throughmin,Mmin+δ,Mmin+2δ,...,MmaxThreshold vector T is calculated, and compare property value a successively () extracts the space characteristics of high spectrum image, wherein M with threshold vector TminFor the minimum value of average, MmaxFor the maximum of average Value, δ is spaced to increase, δ=Mmean× 2.5%, MmeanFor the average of all averages, each classification in the high spectrum image Under have the pixel of known class, the pixel of known class corresponding variance in each category is calculated respectively.
As a further improvement on the present invention, the step B comprises the following steps:
B1. by the characteristics of adjacent area pixel is more likely to belong to same atural object classification in high spectrum image, by phase The pixel in neighbouring region is divided into a spatial group, and selects the square area division size of fixed size to be divided;
B2. dictionary matrix is fixed, low rank sparse matrix and noise matrix are calculated by method of Lagrange multipliers;
B3. fixed coefficient matrix and noise matrix, pass through coordinate descent (Block-Coordinate Desent Approach, BCD) Dictionary of Computing matrix;
B4. judge whether to be less than set threshold value.
As a further improvement on the present invention, the step C includes comparing A=[Aspectral;Aspatial], A= Aspectral+Aspatial, A=μ Aspectral+(1-μ)Aspatial, A=μ Aspectral+(1-μ)AspatialWithFive kinds of Feature Fusion Algorithms, and a kind of Feature Fusion Algorithm is selected wherein to high spectrum image Spectral signature and space characteristics carry out Fusion Features.Pass through A=μ Aspectral+(1-μ)AspatialTo the spectrum of institute's high spectrum image Feature and space characteristics carry out Fusion Features.The AspectralFor spectral signature, AspatialFor space characteristics, μ (0≤μ≤1) is Weight coefficient, determines AspectralAnd AspatialWeight shared by two kinds of features.
As a further improvement on the present invention, the step D is to be also easy to produce Hughes's effect according to high spectrum image (Hughes) the characteristics of, disaggregated model is set up using support vector machine classifier.
The classification hyperspectral imagery model system merged based on spectral signature and space characteristics, including:
Including space characteristics extraction module, the property for the connectivity of region according to high spectrum image extracts high-spectrum The feature of picture so that possess belong to the same area tendency pixel it is more like, should not belong to and be same as the similitude in region not It is similar;
Feature denoising module, passes through spectral signature and sky of the matrix low-rank expression based on region division to high spectrum image Between feature carry out denoising, the low-rank part for extracting eigenmatrix;
Fusion Features module, the spectral signature and space characteristics of the high spectrum image to extracting are added using characteristic weighing Carry out Fusion Features;
Sort module, disaggregated model is set up by support vector machine classifier, for predicting unknown class on high spectrum image The classification of other pixel, the characteristics of sort module is also easy to produce Hughes's effect (Hughes) according to high spectrum image, selection branch Vector machine sorting algorithm is held for last grader, i.e. support vector machine classifier, the support vector machine classifier sets up classification Model, disaggregated model is classified to the pixel of unknown classification on high spectrum image.
As a further improvement on the present invention, the feature denoising module includes:
Region division, the square area for selecting fixed size divides size and the pixel of adjacent area is drawn Point, it is divided into a spatial group;
Low rank sparse matrix is solved, fixed dictionary matrix solves low rank sparse matrix and low-rank noise matrix;
Dictionary matrix, fixed low rank sparse matrix and low-rank noise matrix are solved, Block-Coordinate is used Descent Approach (BCD) Algorithm for Solving dictionary matrix.
As a further improvement on the present invention, the Fusion Features module is from A=[Aspectral;Aspatial], A=Aspectral +Aspatial, A=μ Aspectral+(1-μ)Aspatial, A=μ Aspectral+(1-μ)AspatialWithThis five A Feature Fusion Algorithm is selected in Feature Fusion Algorithm.The AspectralFor spectral signature, AspatialFor space characteristics, μ (0 ≤ μ≤1) is weight coefficient, determines AspectralAnd AspatialWeight shared by two kinds of features.
As a further improvement on the present invention, the Fusion Features module passes through A=μ Aspectral+(1-μ)AspatialTo height The spectral signature and space characteristics of spectrum picture carry out Fusion Features.
As a further improvement on the present invention, the sort module is also easy to produce Hughes's effect according to high spectrum image (Hughes) the characteristics of, selection support vector cassification algorithm is last grader, i.e. support vector machine classifier, the support Vector machine classifier sets up disaggregated model, and disaggregated model is predicted to the pixel of unknown classification on high spectrum image.
The beneficial effects of the invention are as follows:The present invention by high spectrum image by being divided into fritter, and each fritter uses matrix Low-rank decomposition and combination dictionary matrix, go back the low-rank of original matrix, that is, reduce the pollution of noise;To through and being based on region division Cross two kinds of low-rank expression algorithm process multiple features fusion is carried out by way of weighting summation, obtain new feature, send into Classification model construction is carried out in support vector machine classifier, is experimentally confirmed, accuracy rate of the present invention for pixel class prediction Up to 95%.
Brief description of the drawings
Fig. 1 is flow chart of the method for the present invention;
Wherein numeral is represented:A- steps A;B- steps B;C- steps C;D- steps D;
Embodiment
The present invention is further described for explanation and embodiment below in conjunction with the accompanying drawings.
As shown in figure 1, the present invention includes:
Space characteristics extraction module, the property for the connectivity of region according to high spectrum image extracts high spectrum image Feature so that possess belong to the same area tendency pixel it is more like, should not belong to be same as region similitude it is dissimilar;
Feature denoising module, passes through spectral signature and sky of the matrix low-rank expression based on region division to high spectrum image Between feature carry out denoising, the low-rank part for extracting eigenmatrix;
Fusion Features module, the spectral signature and space characteristics of the high spectrum image to extracting are added using characteristic weighing Carry out Fusion Features;
Sort module, disaggregated model is set up by support vector machine classifier, for predicting unknown class on high spectrum image The classification of other pixel;
A. space characteristics extraction is carried out to high spectrum image according to the connectivity of region of high spectrum image;Its specific steps is such as Under:
A1. the size and attribute of attribute filter are selected, the attribute filter is the forms of a fixed dimension;
A2. the attribute filter is slided on high spectrum image, changes the pixel value of forms overlay area according to rule, And the property value of computation attribute filter overlay area, the property value a () is average, variance, area or girth;
A3. { T }={ M is passed throughmin,Mmin+δ,Mmin+2δ,...,MmaxThreshold vector T is calculated, and compare property value successively The space characteristics of high spectrum image, wherein M are extracted with threshold vector TminFor the minimum value of average, MmaxFor the maximum of average Value, δ is spaced to increase, δ=Mmean× 2.5%, MmeanFor the average of all averages, each classification in the high spectrum image Under have the pixel of known class, the pixel of known class in each classification corresponding side in each category is calculated respectively Difference.
In space characteristics extraction module, slided by the slip forms of a fixed size on high spectrum image, according to Rule changes the pixel value of the forms overlay area, and the slip forms are referred to as attribute filter (Attribute Filters, AFs), the attributive character refers to the category according to specified by attribute filter (Attribute Filters, AFs) Property, the value of computation attribute filter (Attribute Filters, AFs) overlay area, the value of the attribute can be average, side Difference, area or girth etc.;The attribute a () that calculating is obtained is compared successively with threshold vector T, if a (Ci) > Tk, then Ci Attribute a (the C in the region of coveringi) constant, if a (Ci)≤Tk, then CiThe central value in the high spectrum image region of covering is adjusted For the immediate gray value of close region, if gray value becomes big or diminished, referred to as thickening or thinning;Wherein CiRepresent capped high spectrum image region, TkRepresent k-th of threshold value.
For capped region f, according to n given threshold value, the possible value of 2n+1 kinds is obtained:
AP (f)={ Φn(f),...,Φ1(f),f,γ1(f),...,γn(f)}
Feature Dimension Reduction, preceding C dimension are carried out to high spectrum image for high spectrum image same use feature dimension reduction method Feature be used for calculate, the attributive character (Extended Attribute Profiles, EAPs) being expanded:
EAP={ AP (PC1),AP(PC2),...,AP(PCC)}
Furthermore it is also possible to which multiple attributes are joined together to use, it is assumed that there is m attribute, many attributive character being expanded (Extended Multi-Attribute Profiles, EMAPs):
Each ai, i=1 ..., m represents an attribute.
And threshold vector T computing formula is as follows:
{ T }={ Mmin,Mmin+δ,Mmin+2δ,...,Mmax}
Assuming that image has 5 passages, and 9 classifications, for each passage (i.e. each feature), its threshold vector T is { T }={ Mmin,Mmin+δ,Mmin+2δ,...,Mmax, obtain the corresponding variance of 9 classifications, M by calculatingminRepresent average most Small value, MmaxThe maximum of average is represented, δ increases interval, δ=Mmean× 2.5%, MmeanIt is the average of all averages.
In feature denoising module, it is more likely to belong to same atural object classification by adjacent area pixel in high spectrum image The characteristics of, the pixel of adjacent area is divided into well a spatial group, and select the square area of fixed size to divide size Divided;Fixed dictionary matrix, low rank sparse matrix and noise matrix are solved by method of Lagrange multipliers;Fixed coefficient square Battle array and noise matrix, word is solved by Block-Coordinate Desent Approach (BCD) algorithm, i.e. coordinate descent Allusion quotation matrix.
Matrix low-rank expresses algorithm combination dictionary learning, can effectively represent each vectorial under new space in original matrix Linear expression (these linear expressions constitute low-rank matrix), and constantly update by dictionary learning the vector basis in space, reach Separate the purpose that sparse noise solves low-rank matrix;For high spectrum image, in high spectrum image, the pixel of adjacent area is more Tend to belong to same atural object classification, if the present invention proposes the pixel of adjacent area being divided into a spatial group, a figure As multiple area of space can be divided into, so as to propose the matrix low-rank expression algorithm based on region division.Specific solution is as follows:
Matrix low-rank expression model based on region division:
S.t.D=ZA+E, A >=0, | | zi||2≤1,zi≥0
Assuming that representing the matrix that high spectrum image all pixels point is arranged in matrix D, b represents the logical of high spectrum image The dimension of road number, i.e. characteristic vector, n represents the number of pixel.{g1,g2,...,gmRepresent divide m area of space, Assuming that selection square area is 5 × 5;The order of rank () representing matrix, | | | |00 norm of representing matrix.
Wherein Z is space vector base,Representing matrixCorresponding low-rank expression matrix;Restrictive condition illustrates low-rank square Battle array A is necessary for nonnegative matrix, ziDictionary Z i-th of base vector is represented, is also non-negative, and the mould of base vector is less than or equal to 1.Because the data of real-life data, such as high spectrum image are all largely the numbers of non-negative, so matrix Z and matrix A is nonnegative matrix.
Because optimal problem above is a np hard problem, so being converted to following form:
S.t.D=ZA+E, A >=0, | | zi||2≤1,zi≥0
Wherein | | | |*The nuclear norm of representing matrix, | | | |11 norm of representing matrix.
Solve low rank sparse matrix A and low-rank noise matrix E:
Dictionary matrix Z is fixed first, updates low rank sparse matrix A and low rank sparse matrix E, can by optimization problem above Know, optimization problem can be decomposed into multiple subproblems, and each problem is solvedWithIn order to not lose one As property, each optimize subproblem be expressed as form:
s.t.Dg=ZAg+Eg,Ag≥0
The problem of above-mentioned formula is described is a convex optimization problem, can use uncertain augmented vector approach (Inexact ALM) Algorithm for Solving, adds matrix J in restrictive condition, and optimization problem changes into following form:
s.t.Dg=ZAg+Eg, J=Ag,J≥0
Solve dictionary matrix Z:
For dictionary learning step, target is to make original matrix D and dictionary matrix Z and low rank sparse matrix A product Gap it is less and less, object function is as follows:
s.t.||zi||2≤1,||zi||2≥0
Formula Central Plains matrix D and low rank sparse matrix A are fixed, utilize iterative algorithm Block-Coordinate Descent Approach (BCD) are solved, it is therefore an objective to restrain the value of optimization function, finally less than given threshold value, The advantage of the algorithm is that need not preset any hyper parameter, it is not required that learning rate.
Fusion Features module, as described above, the space characteristics of high spectrum image are extracted before this, respectively to high spectrum image Spectral signature and space characteristics carry out low-rank processing, and spectral signature and space characteristics then again to high spectrum image carry out feature Fusion, it is comprised the following steps that:
A kind of spectral signature to high spectrum image and space characteristics are selected to carry out in following five kinds of Feature fusions Fusion Features, this five kinds of Feature fusions are:
1. two parts feature is directly cascaded:
A=[Aspectral;Aspatial]
2. two parts feature correspondence is added:
A=Aspectral+Aspatial
3. two parts characteristic weighing is added:
A=μ Aspectral+(1-μ)Aspatial
4. by two parts feature is squared and evolution again:
5. two parts feature is multiplied evolution again:
Fusion Features mean that the information that two kinds of features are provided is combined into new feature all of getting up is used to set up Disaggregated model, the method for five kinds of Fusion Features of the above is all considered comprehensively using two kinds of features, and calculates simple, versatility It is high;When the dimension of two kinds of features is unequal, it is defined by the dimension of the small feature of dimension, it is unnecessary that the big feature of dimension is directly subtracted Part.
Wherein in the third Feature fusion, μ (0≤μ≤1) represents weight coefficient, determines AspectralAnd Aspatial Weight shared by two kinds of features, on μ determination, the present invention selects optimal by the way of 5 folding cross validations, eventually through reality Test and determine optimal μ values, μ interval is [0,1.0].The third fusion method is finally selected as the side of Fusion Features Method.
In sort module, selection SVMs (SVM) sets up disaggregated model as grader, because SVMs point Class device can effectively mitigate Hughes's effect (Hughes), lift the nicety of grading of high spectrum image;Finally unknown classification is predicted again The classification of pixel.
The hyperspectral image classification method merged based on spectral signature and space characteristics and system that the present invention is provided, in original Space characteristics are extracted on the high spectrum image of beginning, this method is slided using attribute filter on each passage of high spectrum image It is dynamic, attribute calculating is carried out to the region that each pixel is covered according to attribute filter, the space characteristics of the pixel are obtained Value, finally obtains the corresponding characteristic vector of pixel;Because original image may be made an uproar during collection by a series of The interference of sound, so, it is necessary to handle spectral signature and space characteristics after space characteristics are obtained, that is, reducing making an uproar for data Sound and dimensionality reduction.The present invention has higher accuracy rate for the prediction of unknown classification pixel classification.
Above content is to combine specific preferred embodiment further description made for the present invention, it is impossible to assert The specific implementation of the present invention is confined to these explanations.For general technical staff of the technical field of the invention, On the premise of not departing from present inventive concept, some simple deduction or replace can also be made, should all be considered as belonging to the present invention's Protection domain.

Claims (10)

1. a kind of hyperspectral image classification method merged based on spectral signature and space characteristics, it is characterised in that methods described Comprise the following steps:
A. space characteristics extraction is carried out to high spectrum image according to the connectivity of region of high spectrum image;
B. the spectral signature and space characteristics to high spectrum image carry out feature denoising respectively;
C. Fusion Features are carried out to the spectral signature and space characteristics of high spectrum image by characteristic weighing;
D. unknown classification pixel on high spectrum image is classified by disaggregated model.
2. the hyperspectral image classification method merged according to claim 1 based on spectral signature and space characteristics, its feature It is that the step A comprises the following steps:
A1. the size and attribute of attribute filter are selected;
A2. the attribute filter is slided on high spectrum image, changes the pixel value of attribute filter overlay area, and is calculated The property value of attribute filter overlay area, the property value is average, variance, area or girth;
A3. { T }={ M is passed throughmin,Mmin+δ,Mmin+2δ,...,MmaxCalculate threshold vector T, and compare successively property value a () with Threshold vector T extracts the space characteristics of high spectrum image, wherein MminFor the minimum value of average, MmaxFor the maximum of average, δ is Increase interval, δ=Mmean× 2.5%, MmeanFor the average of all averages, have under each classification in the high spectrum image The pixel of known class, calculates the pixel corresponding variance in each category of known class respectively.
3. the hyperspectral image classification method merged according to claim 1 based on spectral signature and space characteristics, its feature It is, the step B to handle the light of high spectrum image respectively by the matrix low-rank expression based on high spectrum image region division Spectrum signature and space characteristics, and feature denoising is carried out to it.
4. the hyperspectral image classification method merged according to claim 3 based on spectral signature and space characteristics, its feature It is that the step B comprises the following steps:
B1. by the characteristics of adjacent area pixel is more likely to belong to same atural object classification in high spectrum image, by adjacent region The pixel in domain is divided into a spatial group, and selects the square area division size of fixed size to be divided;
B2. dictionary matrix is fixed, low rank sparse matrix and noise matrix are calculated by method of Lagrange multipliers;
B3. fixed coefficient matrix and noise matrix, pass through coordinate descent Dictionary of Computing matrix;
B4. judge whether to be less than set threshold value.
5. the hyperspectral image classification method merged according to claim 1 based on spectral signature and space characteristics, its feature It is that the step C includes:Compare A=[Aspectral;Aspatial], A=Aspectral+Aspatial, A=μ Aspectral+(1-μ) Aspatial, A=μ Aspectral+(1-μ)AspatialWithFive kinds of Feature Fusion Algorithms, and select wherein A kind of Feature Fusion Algorithm carries out Fusion Features, the A to the spectral signature and space characteristics of high spectrum imagespectralFor spectrum Feature, AspatialFor space characteristics.
6. the hyperspectral image classification method merged according to claim 5 based on spectral signature and space characteristics, its feature It is to pass through A=μ Aspectral+(1-μ)AspatialSpectral signature and space characteristics to high spectrum image carry out Fusion Features, The AspectralFor spectral signature, AspatialFor space characteristics, μ (0≤μ≤1) is weight coefficient, determines AspectralWith AspatialWeight shared by two kinds of features.
7. the hyperspectral image classification method merged according to claim 1 based on spectral signature and space characteristics, its feature It is that the step D also includes, the characteristics of being also easy to produce Hughes's effect according to high spectrum image uses support vector machine classifier Set up disaggregated model.
8. a kind of realize the classification hyperspectral imagery merged described in claim any one of 1-7 based on spectral signature and space characteristics The system of model method, it is characterised in that including space characteristics extraction module, for the connectivity of region according to high spectrum image Property extract high spectrum image feature so that possess belong to the same area tendency pixel it is more like, should not belong to The similitude for being same as region is dissimilar;
Feature denoising module, it is special to the spectral signature of high spectrum image and space by the matrix low-rank expression based on region division Carry out denoising is levied, the low-rank part for extracting eigenmatrix;
Fusion Features module, spectral signature and the space characteristics progress of the high spectrum image to extracting are added using characteristic weighing Fusion Features;
Sort module, disaggregated model is set up by support vector machine classifier, for predicting unknown classification picture on high spectrum image The classification of vegetarian refreshments, the characteristics of sort module is also easy to produce Hughes's effect according to high spectrum image selects support vector cassification Algorithm is last grader, i.e. support vector machine classifier, and the support vector machine classifier sets up disaggregated model, disaggregated model The pixel of unknown classification on high spectrum image is classified.
9. the classification hyperspectral imagery model system merged according to claim 8 based on spectral signature and space characteristics, its It is characterised by, the feature denoising module includes:
Region division, the square area for selecting fixed size divides size and the pixel of adjacent area is divided, It is divided into a spatial group;
Low rank sparse matrix is calculated, fixed dictionary matrix solves low rank sparse matrix and low-rank noise matrix;
Dictionary of Computing matrix, fixed low rank sparse matrix and low-rank noise matrix, dictionary matrix is solved using coordinate descent.
10. the classification hyperspectral imagery model system merged according to claim 8 based on spectral signature and space characteristics, its It is characterised by, the Fusion Features module passes through A=μ Aspectral+(1-μ)AspatialTo the spectral signature and sky of high spectrum image Between feature carry out Fusion Features, the AspectralFor spectral signature, AspatialFor space characteristics.
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