UM
Local and Global Geometric Structure Preserving and Application to Hyperspectral Image Classification
Huiwu Luo1; Yuan Yan Tang1; Chunli Li1; Lina Yang1,2
2015
Source PublicationMathematical Problems in Engineering
ISSN1024-123X
Volume2015
Other Abstract

Locality Preserving Projection (LPP) has shown great efficiency in feature extraction. LPP captures the locality by the K-nearest neighborhoods. However, recent progress has demonstrated the importance of global geometric structure in discriminant analysis. Thus, both the locality and global geometric structure are critical for dimension reduction. In this paper, a novel linear supervised dimensionality reduction algorithm, called Locality and Global Geometric Structure Preserving (LGGSP) projection, is proposed for dimension reduction. LGGSP encodes not only the local structure information into the optimal objective functions, but also the global structure information. To be specific, two adjacent matrices, that is, similarity matrix and variance matrix, are constructed to detect the local intrinsic structure. Besides, a margin matrix is defined to capture the global structure of different classes. Finally, the three matrices are integrated into the framework of graph embedding for optimal solution. The proposed scheme is illustrated using both simulated data points and the well-known Indian Pines hyperspectral data set, and the experimental results are promising.

DOIhttp://dx.doi.org/10.1155/2015/917259
URLView the original
Indexed BySCI
Language英语
WOS Research AreaEngineering ; Mathematics
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000355439400001
PublisherHINDAWI PUBLISHING CORPORATION, 410 PARK AVENUE, 15TH FLOOR, #287 PMB, NEW YORK, NY 10022 USA
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Cited Times [WOS]:16   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorYuan Yan Tang
Affiliation1.Department of Computer and Information Science, University of Macau, Avenida Padre Tomas Pereira, Taipa 1356, Macau
2.Department of Mathematics and Computer Science, Guangxi Normal University of Nationalities, Chongzuo 532200, China
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Huiwu Luo,Yuan Yan Tang,Chunli Li,et al. Local and Global Geometric Structure Preserving and Application to Hyperspectral Image Classification[J]. Mathematical Problems in Engineering,2015,2015.
APA Huiwu Luo,Yuan Yan Tang,Chunli Li,&Lina Yang.(2015).Local and Global Geometric Structure Preserving and Application to Hyperspectral Image Classification.Mathematical Problems in Engineering,2015.
MLA Huiwu Luo,et al."Local and Global Geometric Structure Preserving and Application to Hyperspectral Image Classification".Mathematical Problems in Engineering 2015(2015).
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