HALS-based NMF with Flexible Constraints for Hyperspectral Unmixing - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue EURASIP Journal on Advances in Signal Processing Année : 2012

HALS-based NMF with Flexible Constraints for Hyperspectral Unmixing

Résumé

In this article, the hyperspectral unmixing problem is solved with the nonnegative matrix factorization (NMF) algorithm. The regularized criterion is minimized with a hierarchical alternating least squares (HALS) scheme. Under the HALS framework, four constraints are introduced to improve the unmixing accuracy, including the sum-to-unity constraint, the constraints for minimum spectral dispersion and maximum spatial dispersion, and the minimum volume constraint. The derived algorithm is called F-NMF, for NMF with flexible constraints. We experimentally compare F-NMF with different constraints and combined ones. We test the sensitivity and robustness of F-NMF to many parameters such as the purity level of endmembers, the number of endmembers and pixels, the SNR, the sparsity level of abundances, and the overestimation of endmembers. The proposed algorithm improves the results estimated by vertex component analysis. A comparative analysis on real data is included. The unmixing results given by a geometrical method, the simplex identification via split augmented Lagrangian and the F-NMF algorithms with combined constraints are compared, which shows the relative stability of F-NMF.
Fichier principal
Vignette du fichier
articleeurasip.pdf (719.84 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01017576 , version 1 (02-07-2014)

Identifiants

Citer

Weishi Chen, Mireille Guillaume. HALS-based NMF with Flexible Constraints for Hyperspectral Unmixing. EURASIP Journal on Advances in Signal Processing, 2012, 2012 (54), pp.1-14. ⟨10.1186/1687-6180-2012-54⟩. ⟨hal-01017576⟩
134 Consultations
136 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More