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Superpixel-Based Graph Laplacian Regularization for Sparse Hyperspectral Unmixing

delete2022-01-01
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Taner İnce *
DOI:10.1109/LGRS.2020.3027055delete
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Abstract

Abstract

En 中文
An efficient spatial regularization method using superpixel segmentation and graph Laplacian regularization is proposed for the sparse hyperspectral unmixing method. Since it is likely to find spectrally similar pixels in a homogeneous region, we use a superpixel segmentation algorithm to extract the homogeneous regions by considering the image boundaries. We first extract the homogeneous regions, which are called superpixels, and then, a weighted graph in each superpixel is constructed by selecting nearest pixels in each superpixel. Each node in the graph represents the spectrum of a pixel, and edges connect the similar pixels inside the superpixel. The spatial similarity is investigated using the graph Laplacian regularization. Sparsity regularization for an abundance matrix is provided using a weighted sparsity promoting norm. Experimental results on simulated and real data sets show the superiority of the proposed algorithm over the well-known algorithms in the literature.
Keywords:
Sparse matrices
Laplace equations
Hyperspectral imaging
Image segmentation
Libraries
Data mining
Abundance estimation
graph Laplacian
sparse unmixing (SU)
superpixel
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Journal

IEEE Geoscience and Remote Sensing Magazine cover
IEEE Geoscience and Remote Sensing Magazine
IF:
16.4
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Gaziantep University
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Citations: 23