CN108021874A - A kind of EO-1 hyperion Endmember extraction preprocess method combined based on sky-spectrum - Google Patents

A kind of EO-1 hyperion Endmember extraction preprocess method combined based on sky-spectrum Download PDF

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CN108021874A
CN108021874A CN201711178807.4A CN201711178807A CN108021874A CN 108021874 A CN108021874 A CN 108021874A CN 201711178807 A CN201711178807 A CN 201711178807A CN 108021874 A CN108021874 A CN 108021874A
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刘畅
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Beijing Institute of Environmental Features
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Abstract

The invention discloses a kind of EO-1 hyperion Endmember extraction preprocess method combined based on empty spectrum, including step to have:(1) multidimensional gaussian filtering is carried out to original high spectrum image, obtains a series of new high spectrum image;(2) spatially uniform calculating is carried out to new high spectrum image, obtains the corresponding space uniform sex index of each pixel in new high spectrum image;(3) original high spectrum image is handled with unsupervised clustering, and presorted to image, be a cluster per class;(4) each cluster is determined to the subset of pixel according to the evenness index of pixel, and determines most extreme cluster;(5) cluster is selected, Endmember extraction is carried out to the pixel in its subset, each cluster extracts an end member pixel, obtains one group of end member abundance figure;(6) identification and classification to image are completed according to end member abundance figure.The problem of present invention solves high spectrum image and has very in the case of strong noise, and high optical spectrum image end member extraction accuracy is not high.

Description

A kind of EO-1 hyperion Endmember extraction preprocess method combined based on sky-spectrum
Technical field
The present invention relates to image processing field, more particularly to a kind of EO-1 hyperion Endmember extraction combined based on sky-spectrum to locate in advance Reason method.
Background technology
The rise of high-spectrum remote-sensing is one of the maximum achievement of remote sensing technology the 1980s.Hyperspectral imager is obtained The ground object anti-(hair) taken is penetrated spectral signal and is recorded in units of pixel.Due to sensor spatial resolution limitation with And the complexity of background so that high spectrum image generally existing mixed pixel.If using mixed pixel as pure pixel into The application studies such as row classification, target detection and identification, as a result have very big error.This just causes EO-1 hyperion Decomposition of Mixed Pixels Problem becomes an important and key link of hyperspectral data processing.The work that we need to carry out be exactly inside pixel, Decomposition of Mixed Pixels for Pure pixel (end member) and is obtained into shared ratio, graphical analysis is entered sub-pixed mapping rank.Solution is mixed First step Endmember extraction have the function that important, it is the basis of follow-up study, and the precision of Endmember extraction will be to subsequent treatment Precision, which produces, directly to be influenced.
Each pixel in high spectrum image is described jointly by spectral information and spatial information.Spectral information It is to handle pixel by the way of independent, and spatial information then considers relations of they and surrounding neighbor.Traditional end First extraction algorithm only considers merely spectral information when handling data, data is considered as a unordered list of spectral measurement Handled not as piece image, have ignored existing spatial coherence between pixel so that exist in Endmember extraction result Certain error.How to be combined using the spatial information between pixel with spectral information and carry out Endmember extraction, improve spectrum extraction essence Degree, becomes the emphasis for Recent study.
The content of the invention
Carried in view of the above-mentioned drawbacks of the prior art, the present invention provides a kind of EO-1 hyperion end member combined based on sky-spectrum Preprocess method is taken, in the case of solving high spectrum image with very strong noise, high optical spectrum image end member extraction accuracy is not high The problem of.
A kind of EO-1 hyperion Endmember extraction preprocess method combined based on sky-spectrum provided by the invention, its improvements are existed In described method includes following steps:
(1) multidimensional gaussian filtering is carried out to original high spectrum image, obtains a series of new high spectrum image;
(2) spatially uniform calculating is carried out to the new high spectrum image, obtains each picture in the new high spectrum image The corresponding space uniform sex index of element;
(3) the original high spectrum image is handled with unsupervised clustering, and presorted to image, be one per class A cluster;
(4) each cluster is determined to the subset of pixel according to the evenness index of pixel, and determines most extreme cluster;
(5) cluster is selected, Endmember extraction is carried out to the pixel in its subset, each cluster extracts an end member pixel, obtains To one group of end member abundance figure;
(6) identification and classification to image are completed according to the end member abundance figure.
Preferably, the formula of step (1) progress multidimensional gaussian filtering includes:
In formula, N (x | μ, σ) represents the probability density function of x;X represents to need to do the pixel of gaussian filtering;μ represents it is expected; σ represents covariance matrix;D represents the dimension of x, is positive integer.
More preferably, the control parameter of gaussian filtering, different covariance matrix values are used as by the use of covariance matrix σ parameters Correspondence obtains the new high spectrum image of different degree of filtration.
More preferably, step (2), which carries out spatially uniform calculating, includes:
Root-mean-square error, its formula are carried out to a series of new high spectrum image and the original high spectrum image For:
In formula, RMSE represents root-mean-square error;N represents pixel number;X1,iRepresent picture in a series of new high spectrum image Element;X2,iRepresent respective pixel in original high spectrum image;i∈[1,…,n];
Make i=1 ..., n, according to different covariance matrix σ values, calculates every in a series of new high spectrum image The root-mean-square error coefficient of a pixel;
To the different error coefficients of the same pixel under same covariance matrix σ values, it is averaged, its formula is:
In formula,Represent the average value of the different error coefficient sums of same pixel;M represents the value of covariance matrix σ Sum;NiRepresent new high spectrum image and the difference of the respective pixel of original high spectrum image;σjRepresent different σ values, j= 1,…,m;
By the average value of the different error coefficient sums of same pixelRefer to as the corresponding spatially uniform of each pixel Number.
More preferably, step (3) includes:
Minimal noise separation conversion is carried out to the original high spectrum image, obtains the image of denoising, and new peak The quantity of the atural object classification of spectrum picture;
ISODATA methods are used to the image of the denoising, definitely the other species of species, each classification is one A cluster, number of clusters p.
More preferably, each cluster is determined the subset of pixel by step (4) according to the evenness index of pixel, and is determined most The step of extreme cluster, includes:
1) according to the corresponding space uniform sex index of each pixel of step (2), ranking is carried out to pixel;
2) threshold value set according to the difference of the pixel and user, adheres to the pixel separately cluster;
3) according to the space uniform sex index, most extreme cluster is gone out using Orthogonal subspace projection method choice, is moved Except the cluster with mixed pixel.
In technical scheme, before the method that tradition is used only that spectral information carries out Endmember extraction, add A kind of preprocess method, carries out spatially uniform calculating using multiple dimensioned Gaussian filter algorithm, introduces spatial information, utilize light Spectral clustering is merged spatial information and spectral information, then carries out Endmember extraction operation again.And this method is to making an uproar Sound has robustness, and in the case of solving high spectrum image with very strong noise, high optical spectrum image end member extraction accuracy is not high The problem of.It is also relatively more reasonable in principle at the same time, there is suitable practical value.
Brief description of the drawings
Fig. 1 is the flow chart of the embodiment of the present invention.
Embodiment
For the objects, technical solutions and advantages of the present invention are more clearly understood, referring to the drawings and preferred reality is enumerated Example is applied, the present invention is described in more detail.However, it is necessary to illustrate, many details listed in specification are only to be Reader is set to have a thorough explanation to the one or more aspects of the present invention, even without these specific details can also Realize the aspects of the invention.
A kind of EO-1 hyperion Endmember extraction preprocess method combined based on sky-spectrum provided by the invention, its flow chart such as Fig. 1 It is shown, specifically comprise the following steps:
(1) multidimensional gaussian filtering is carried out to original high spectrum image, obtains a series of new high spectrum image;
Gaussian filtering is a kind of linear smoothing filtering, suitable for eliminating Gaussian noise, is widely used in subtracting for image procossing Make an uproar process.The concrete operations of gaussian filtering are:With each pixel in a template (or convolution, mask) scan image, The weighted average gray value of pixel goes the value of alternate template central pixel point in the neighborhood determined with template.Formula is:
In formula, N (x μ, σ) represents the probability density function of x;X represents to need to do the pixel of gaussian filtering;μ represents it is expected;σ Represent covariance matrix;D represents the dimension of x, is positive integer.Different σ values correspondences obtain the high-spectrum of different degree of filtration Picture.Parameter σ value values are higher, and high-spectrum image space is more smooth, so the present embodiment is used as height by the use of covariance matrix σ parameters The control parameter of this filtering, different σ values correspondence obtain the new high spectrum image of different degree of filtration.
(2) spatially uniform calculating is carried out to the new high spectrum image, obtains each picture in the new high spectrum image The corresponding space uniform sex index of element, specifically includes:
Root-mean-square error, its formula are carried out to a series of new high spectrum image and the original high spectrum image For:
In formula, RMSE represents root-mean-square error;N represents pixel number;X1,iRepresent picture in a series of new high spectrum image Element;X2,iRepresent respective pixel in original high spectrum image;i∈[1,…,n];
I is made since 1, i=1 ..., n, according to different covariance matrix σ values, calculate a series of new EO-1 hyperion The root-mean-square error coefficient of each pixel in image;
To the different error coefficients of the same pixel under same covariance matrix σ values, it is averaged, its formula is:
In formula,Represent the average value of the different error coefficient sums of same pixel;NiRepresent new high spectrum image and original The difference of the respective pixel of beginning high spectrum image;σjRepresent different σ values, j=1 ..., m, m is σ values sum;
By the average value of the different error coefficient sums of same pixelRefer to as the corresponding spatially uniform of each pixel Number.
(3) the original high spectrum image is handled with unsupervised clustering, and presorted to image, be one per class A cluster, specifically includes:
Minimal noise separation conversion is carried out to the original high spectrum image, obtains the image of denoising, and new peak The quantity of the atural object classification of spectrum picture;
ISODATA (dynamic clustering or iteration self-organizing data analysis) method is used to the image of the denoising, The definitely other species of species, each classification are a cluster, number of clusters p.
(4) each cluster is determined to the subset of pixel according to the evenness index of pixel, and determines most extreme cluster, specifically Include the following steps:
1) according to the corresponding space uniform sex index of each pixel of step (2), ranking is carried out to pixel;
2) threshold value set according to the difference of the pixel and user, adheres to the pixel separately cluster;The present embodiment uses Pixel difference is scope less than 0.001, by pixel classifications.
3) according to the space uniform sex index, most extreme cluster is gone out using Orthogonal subspace projection method choice, is moved Except the cluster with mixed pixel.
(5) cluster is selected, Endmember extraction is carried out to the pixel in its subset, each cluster extracts an end member pixel, obtains To one group of end member abundance figure;
(6) each end member corresponds to a width abundance figure, and it is shared in entire image that this abundance figure represents this kind of end member Determine ratio, the identification and classification to image are completed according to the end member abundance figure.
The above is only the preferred embodiment of the present invention, it is noted that for the ordinary skill people of the art For member, without departing from the principle of the present invention, some improvements and modifications can also be made, these improvements and modifications also should It is considered as protection scope of the present invention.

Claims (6)

1. a kind of EO-1 hyperion Endmember extraction preprocess method combined based on sky-spectrum, it is characterised in that the described method includes as follows Step:
(1) multidimensional gaussian filtering is carried out to original high spectrum image, obtains a series of new high spectrum image;
(2) spatially uniform calculating is carried out to the new high spectrum image, obtains each pixel pair in the new high spectrum image The space uniform sex index answered;
(3) the original high spectrum image is handled with unsupervised clustering, and presorted to image, be a collection per class Group;
(4) each cluster is determined to the subset of pixel according to the evenness index of pixel, and determines most extreme cluster;
(5) cluster is selected, Endmember extraction is carried out to the pixel in its subset, each cluster extracts an end member pixel, obtains one Group end member abundance figure;
(6) identification and classification to image are completed according to the end member abundance figure.
2. EO-1 hyperion Endmember extraction preprocess method as claimed in claim 1, it is characterised in that it is high that step (1) carries out multidimensional The formula of this filtering includes:
<mrow> <mi>N</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>|</mo> <mi>&amp;mu;</mi> <mo>,</mo> <mi>&amp;sigma;</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mn>1</mn> <msup> <mrow> <mo>(</mo> <mn>2</mn> <mi>&amp;pi;</mi> <mo>)</mo> </mrow> <mrow> <mi>D</mi> <mo>/</mo> <mn>2</mn> </mrow> </msup> </mfrac> <mfrac> <mn>1</mn> <mrow> <mo>|</mo> <mi>&amp;sigma;</mi> <msup> <mo>|</mo> <mrow> <mn>1</mn> <mo>/</mo> <mn>2</mn> </mrow> </msup> </mrow> </mfrac> <mi>exp</mi> <mo>{</mo> <mo>-</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <msup> <mrow> <mo>(</mo> <mi>x</mi> <mo>-</mo> <mi>&amp;mu;</mi> <mo>)</mo> </mrow> <mi>T</mi> </msup> <msup> <mi>&amp;sigma;</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> <mrow> <mo>(</mo> <mi>x</mi> <mo>-</mo> <mi>&amp;mu;</mi> <mo>)</mo> </mrow> <mo>}</mo> <mo>;</mo> </mrow>
In formula, N (x | μ, σ) represents the probability density function of x;X represents to need to do the pixel of gaussian filtering;μ represents it is expected;σ tables Show covariance matrix;D represents the dimension of x, is positive integer.
3. EO-1 hyperion Endmember extraction preprocess method as claimed in claim 2, it is characterised in that joined using covariance matrix σ Control parameter of the number as gaussian filtering, different covariance matrix values correspond to obtain the new high-spectrum of different degree of filtration Picture.
4. EO-1 hyperion Endmember extraction preprocess method as claimed in claim 1, it is characterised in that it is equal that step (2) carries out space Even property, which calculates, to be included:
Root-mean-square error is carried out to a series of new high spectrum image and the original high spectrum image, its formula is:
<mrow> <mi>R</mi> <mi>M</mi> <mi>S</mi> <mi>E</mi> <mo>=</mo> <msqrt> <mfrac> <mrow> <msubsup> <mi>&amp;Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </msubsup> <msup> <mrow> <mo>(</mo> <msub> <mi>X</mi> <mrow> <mn>1</mn> <mo>,</mo> <mi>i</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>X</mi> <mrow> <mn>2</mn> <mo>,</mo> <mi>i</mi> </mrow> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> <mi>n</mi> </mfrac> </msqrt> <mo>;</mo> </mrow>
In formula, RMSE represents root-mean-square error;N represents pixel number;X1,iRepresent pixel in a series of new high spectrum image;X2,i Represent respective pixel in original high spectrum image;i∈[1,…,n];
Make i=1 ..., n, according to different covariance matrix σ values, calculates each picture in a series of new high spectrum image The root-mean-square error coefficient of element;
To the different error coefficients of the same pixel under same covariance matrix σ values, it is averaged, its formula is:
<mrow> <msub> <mover> <mi>N</mi> <mo>&amp;OverBar;</mo> </mover> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mn>1</mn> <mi>m</mi> </mfrac> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msub> <mi>N</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>&amp;sigma;</mi> <mi>j</mi> </msub> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
In formula,Represent the average value of the different error coefficient sums of same pixel;M represents the value sum of covariance matrix σ; NiRepresent new high spectrum image and the difference of the respective pixel of original high spectrum image;σjRepresent different σ values, j=1 ..., m;
By the average value of the different error coefficient sums of same pixelAs the corresponding space uniform sex index of each pixel.
5. EO-1 hyperion Endmember extraction preprocess method as claimed in claim 1, it is characterised in that step (3) includes:
Minimal noise separation conversion is carried out to the original high spectrum image, obtains the image of denoising, and new EO-1 hyperion The quantity of the atural object classification of image;
ISODATA methods are used to the image of the denoising, definitely the other species of species, each classification is a collection Group, number of clusters p.
6. EO-1 hyperion Endmember extraction preprocess method as claimed in claim 1, it is characterised in that step (4) is by each cluster Evenness index according to pixel determines the subset of pixel, and the step of determining most extreme cluster includes:
1) according to the corresponding space uniform sex index of each pixel of step (2), ranking is carried out to pixel;
2) threshold value set according to the difference of the pixel and user, adheres to the pixel separately cluster;
3) according to the space uniform sex index, most extreme cluster is gone out using Orthogonal subspace projection method choice, removes band There is the cluster of mixed pixel.
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Application publication date: 20180511