Sparsity and morphological diversity for hyperspectral data analysis

Jérome Bobin (1) , Yassir Moudden (2) , Jean-Luc Starck (2) , Jalal M. Fadili (3)

1 ACM - Department of Applied & Computational Mathematics
2 DEDIP - Département d'Electronique, des Détecteurs et d'Informatique pour la Physique (ex SEDI)
3 Equipe Image - Laboratoire GREYC - UMR6072

Recently morphological diversity and sparsity have emerged as new and effective sources of diversity for Blind Source Separation. Based on these new concepts, novelmethods such as Generalized Morphological Component Analysis have been put forward. The latter takes advantage of the very sparse representation of structured data in large overcomplete dictionaries, to separate sources based on their morphology. Building on GMCA, the purpose of this contribution is to describe a new algorithm for hyperspectral data processing. Large-scale hyperspectral data refers to collected data that exhibit sparse spectral signatures in addition to sparse spatial morphologies, in specified dictionaries of spectral and spatial waveforms. Numerical experiments are reported which demonstrate the validity of the proposed extension for solving source separation problems involving hyperspectral data.

Mots clés: source separation; hyperspectral data; sparsity; remote sensing; wavelets; astronomy

Domaines: Traitement des images [eess.IV]; Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Jérome Bobin, Yassir Moudden, Jean-Luc Starck, Jalal M. Fadili. Sparsity and morphological diversity for hyperspectral data analysis. IEEE ICIP, Nov 2009, Cairo, Egypt. pp.1481-1484, ⟨10.1109/ICIP.2009.5413603⟩. ⟨hal-00813671⟩