Priors in Sparse Recursive Decompositions of Hyperspectral Images

Gillis, Nicolas;Plemmons, Robert J.;Zhang, Qiang
(2012) SPIE — Location: Baltimore, Maryland (23.April.2012)

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Authors
  • Gillis, NicolasUCLouvain
    Author
  • Plemmons, Robert J.Wake Forest University
    Author
  • Zhang, QiangWake Forest University
    Author
Abstract
Nonnegative matrix factorization and its variants are powerful techniques for the analysis of hyperspectral images (HSI). Nonnegative matrix underapproximation (NMU) is a recent closely related model that uses additional underapproximation constraints enabling the extraction of features (e.g., abundance maps in HSI) in a recursive way while preserving nonnegativity. We propose to further improve NMU by using the spatial information: we incorporate into the model the fact that neighboring pixels are likely to contain the same materials. This approach thus incorporates structural and textural information from neighboring pixels. We use an &ell;<sub>1</sub>-norm penalty term more suitable to preserving sharp changes, and solve the corresponding optimization problem using iteratively reweighted least squares. The effectiveness of the approach is illustrated with analysis of the real-world cuprite dataset.© (2012) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Affiliations
  • University of WaterlooDepartment of Combinatorics and Optimization
  • Wake Forest UniversityDepartments of Mathematics and Computer Science
  • Wake Forest UniversityDepartment of Biostatistical Sciences

Citations

Gillis, N., Plemmons, R. J., & Zhang, Q. (2012). Priors in Sparse Recursive Decompositions of Hyperspectral Images. In Sylvia S. Shen, Paul E. Lewis (Eds) (ed.), Proc. SPIE 8390, Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XVIII. https://doi.org/10.1117/12.918333