DISTRIBUTED UNMIXING OF HYPERSPECTRAL DATAWITH SPARSITY CONSTRAINT

Spectral unmixing (SU) is a data processing problem in hyperspectral remote sensing. The significant challenge in the SU problem is how to identify endmembers and their weights, accurately. For estimation of signature and fractional abundance matrices in a blind problem, nonnegative matrix factoriza...

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Main Authors: S. Khoshsokhan, R. Rajabi, H. Zayyani
Format: Article
Language:English
Published: Copernicus Publications 2017-09-01
Series:The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences
Online Access:https://www.int-arch-photogramm-remote-sens-spatial-inf-sci.net/XLII-4-W4/145/2017/isprs-archives-XLII-4-W4-145-2017.pdf
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author S. Khoshsokhan
R. Rajabi
H. Zayyani
author_facet S. Khoshsokhan
R. Rajabi
H. Zayyani
author_sort S. Khoshsokhan
collection DOAJ
description Spectral unmixing (SU) is a data processing problem in hyperspectral remote sensing. The significant challenge in the SU problem is how to identify endmembers and their weights, accurately. For estimation of signature and fractional abundance matrices in a blind problem, nonnegative matrix factorization (NMF) and its developments are used widely in the SU problem. One of the constraints which was added to NMF is sparsity constraint that was regularized by L1/2 norm. In this paper, a new algorithm based on distributed optimization has been used for spectral unmixing. In the proposed algorithm, a network including single-node clusters has been employed. Each pixel in hyperspectral images considered as a node in this network. The distributed unmixing with sparsity constraint has been optimized with diffusion LMS strategy, and then the update equations for fractional abundance and signature matrices are obtained. Simulation results based on defined performance metrics, illustrate advantage of the proposed algorithm in spectral unmixing of hyperspectral data compared with other methods. The results show that the AAD and SAD of the proposed approach are improved respectively about 6 and 27 percent toward distributed unmixing in SNR=25dB.
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spelling doaj.art-268ade8dd399491ab8cb9702c22cf4522022-12-22T03:15:20ZengCopernicus PublicationsThe International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences1682-17502194-90342017-09-01XLII-4-W414515010.5194/isprs-archives-XLII-4-W4-145-2017DISTRIBUTED UNMIXING OF HYPERSPECTRAL DATAWITH SPARSITY CONSTRAINTS. Khoshsokhan0R. Rajabi1H. Zayyani2Qom University of Technology, Electrical and Computer Engineering Department, Qom, IranQom University of Technology, Electrical and Computer Engineering Department, Qom, IranQom University of Technology, Electrical and Computer Engineering Department, Qom, IranSpectral unmixing (SU) is a data processing problem in hyperspectral remote sensing. The significant challenge in the SU problem is how to identify endmembers and their weights, accurately. For estimation of signature and fractional abundance matrices in a blind problem, nonnegative matrix factorization (NMF) and its developments are used widely in the SU problem. One of the constraints which was added to NMF is sparsity constraint that was regularized by L1/2 norm. In this paper, a new algorithm based on distributed optimization has been used for spectral unmixing. In the proposed algorithm, a network including single-node clusters has been employed. Each pixel in hyperspectral images considered as a node in this network. The distributed unmixing with sparsity constraint has been optimized with diffusion LMS strategy, and then the update equations for fractional abundance and signature matrices are obtained. Simulation results based on defined performance metrics, illustrate advantage of the proposed algorithm in spectral unmixing of hyperspectral data compared with other methods. The results show that the AAD and SAD of the proposed approach are improved respectively about 6 and 27 percent toward distributed unmixing in SNR=25dB.https://www.int-arch-photogramm-remote-sens-spatial-inf-sci.net/XLII-4-W4/145/2017/isprs-archives-XLII-4-W4-145-2017.pdf
spellingShingle S. Khoshsokhan
R. Rajabi
H. Zayyani
DISTRIBUTED UNMIXING OF HYPERSPECTRAL DATAWITH SPARSITY CONSTRAINT
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences
title DISTRIBUTED UNMIXING OF HYPERSPECTRAL DATAWITH SPARSITY CONSTRAINT
title_full DISTRIBUTED UNMIXING OF HYPERSPECTRAL DATAWITH SPARSITY CONSTRAINT
title_fullStr DISTRIBUTED UNMIXING OF HYPERSPECTRAL DATAWITH SPARSITY CONSTRAINT
title_full_unstemmed DISTRIBUTED UNMIXING OF HYPERSPECTRAL DATAWITH SPARSITY CONSTRAINT
title_short DISTRIBUTED UNMIXING OF HYPERSPECTRAL DATAWITH SPARSITY CONSTRAINT
title_sort distributed unmixing of hyperspectral datawith sparsity constraint
url https://www.int-arch-photogramm-remote-sens-spatial-inf-sci.net/XLII-4-W4/145/2017/isprs-archives-XLII-4-W4-145-2017.pdf
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AT hzayyani distributedunmixingofhyperspectraldatawithsparsityconstraint