Spectral Unmixing of Hyperspectral Remote Sensing Imagery via Preserving the Intrinsic Structure Invariant

Hyperspectral unmixing, which decomposes mixed pixels into endmembers and corresponding abundance maps of endmembers, has obtained much attention in recent decades. Most spectral unmixing algorithms based on non-negative matrix factorization (NMF) do not explore the intrinsic manifold structure of h...

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Main Authors: Yang Shao, Jinhui Lan, Yuzhen Zhang, Jinlin Zou
Format: Article
Language:English
Published: MDPI AG 2018-10-01
Series:Sensors
Subjects:
Online Access:http://www.mdpi.com/1424-8220/18/10/3528
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author Yang Shao
Jinhui Lan
Yuzhen Zhang
Jinlin Zou
author_facet Yang Shao
Jinhui Lan
Yuzhen Zhang
Jinlin Zou
author_sort Yang Shao
collection DOAJ
description Hyperspectral unmixing, which decomposes mixed pixels into endmembers and corresponding abundance maps of endmembers, has obtained much attention in recent decades. Most spectral unmixing algorithms based on non-negative matrix factorization (NMF) do not explore the intrinsic manifold structure of hyperspectral data space. Studies have proven image data is smooth along the intrinsic manifold structure. Thus, this paper explores the intrinsic manifold structure of hyperspectral data space and introduces manifold learning into NMF for spectral unmixing. Firstly, a novel projection equation is employed to model the intrinsic structure of hyperspectral image preserving spectral information and spatial information of hyperspectral image. Then, a graph regularizer which establishes a close link between hyperspectral image and abundance matrix is introduced in the proposed method to keep intrinsic structure invariant in spectral unmixing. In this way, decomposed abundance matrix is able to preserve the true abundance intrinsic structure, which leads to a more desired spectral unmixing performance. At last, the experimental results including the spectral angle distance and the root mean square error on synthetic and real hyperspectral data prove the superiority of the proposed method over the previous methods.
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spelling doaj.art-754dbe8ba87d4504a83f7f957b0e22182022-12-22T01:56:35ZengMDPI AGSensors1424-82202018-10-011810352810.3390/s18103528s18103528Spectral Unmixing of Hyperspectral Remote Sensing Imagery via Preserving the Intrinsic Structure InvariantYang Shao0Jinhui Lan1Yuzhen Zhang2Jinlin Zou3School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, ChinaSchool of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, ChinaSchool of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, ChinaSchool of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, ChinaHyperspectral unmixing, which decomposes mixed pixels into endmembers and corresponding abundance maps of endmembers, has obtained much attention in recent decades. Most spectral unmixing algorithms based on non-negative matrix factorization (NMF) do not explore the intrinsic manifold structure of hyperspectral data space. Studies have proven image data is smooth along the intrinsic manifold structure. Thus, this paper explores the intrinsic manifold structure of hyperspectral data space and introduces manifold learning into NMF for spectral unmixing. Firstly, a novel projection equation is employed to model the intrinsic structure of hyperspectral image preserving spectral information and spatial information of hyperspectral image. Then, a graph regularizer which establishes a close link between hyperspectral image and abundance matrix is introduced in the proposed method to keep intrinsic structure invariant in spectral unmixing. In this way, decomposed abundance matrix is able to preserve the true abundance intrinsic structure, which leads to a more desired spectral unmixing performance. At last, the experimental results including the spectral angle distance and the root mean square error on synthetic and real hyperspectral data prove the superiority of the proposed method over the previous methods.http://www.mdpi.com/1424-8220/18/10/3528spectral unmixinghyperspectral imageryintrinsic structurelocal window
spellingShingle Yang Shao
Jinhui Lan
Yuzhen Zhang
Jinlin Zou
Spectral Unmixing of Hyperspectral Remote Sensing Imagery via Preserving the Intrinsic Structure Invariant
Sensors
spectral unmixing
hyperspectral imagery
intrinsic structure
local window
title Spectral Unmixing of Hyperspectral Remote Sensing Imagery via Preserving the Intrinsic Structure Invariant
title_full Spectral Unmixing of Hyperspectral Remote Sensing Imagery via Preserving the Intrinsic Structure Invariant
title_fullStr Spectral Unmixing of Hyperspectral Remote Sensing Imagery via Preserving the Intrinsic Structure Invariant
title_full_unstemmed Spectral Unmixing of Hyperspectral Remote Sensing Imagery via Preserving the Intrinsic Structure Invariant
title_short Spectral Unmixing of Hyperspectral Remote Sensing Imagery via Preserving the Intrinsic Structure Invariant
title_sort spectral unmixing of hyperspectral remote sensing imagery via preserving the intrinsic structure invariant
topic spectral unmixing
hyperspectral imagery
intrinsic structure
local window
url http://www.mdpi.com/1424-8220/18/10/3528
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AT jinhuilan spectralunmixingofhyperspectralremotesensingimageryviapreservingtheintrinsicstructureinvariant
AT yuzhenzhang spectralunmixingofhyperspectralremotesensingimageryviapreservingtheintrinsicstructureinvariant
AT jinlinzou spectralunmixingofhyperspectralremotesensingimageryviapreservingtheintrinsicstructureinvariant