A Bilinear–Bilinear Nonnegative Matrix Factorization Method for Hyperspectral Unmixing
Authors:
- 10 September 2013
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Geoscience and Remote Sensing Letters
- Vol. 11 (4) , 778-782
Abstract
Spectral unmixing of hyperspectral images consists of estimating pure material spectra with their corresponding proportions (or abundances). Nonlinear mixing models for spectral unmixing are of very recent interest within the signal and image processing community. This letter proposes a new nonlinear unmixing approach using the Fan bilinear-bilinear model and nonnegative matrix factorization method that takes into account physical constraints on spectra (positivity) and abundances (positivity and sum-to-one). The proposed method is tested using a projected-gradient algorithm on synthetic and real data. The performances of this method are compared to the linear approach and to the recent nonlinear approach.Keywords
This publication has 19 references indexed in Scilit:
- Unmixing hyperspectral images using the generalized bilinear model2011
- Mapping intimate mixtures using an adaptive kernel-based technique2011
- Nonlinear Unmixing of Hyperspectral Images Using a Generalized Bilinear ModelIEEE Transactions on Geoscience and Remote Sensing, 2011
- Minimum Dispersion Constrained Nonnegative Matrix Factorization to Unmix Hyperspectral DataIEEE Transactions on Geoscience and Remote Sensing, 2010
- Nonnegative Matrix and Tensor Factorizations2009
- Endmember Extraction From Highly Mixed Data Using Minimum Volume Constrained Nonnegative Matrix FactorizationIEEE Transactions on Geoscience and Remote Sensing, 2007
- Vertex component analysis: a fast algorithm to unmix hyperspectral dataIEEE Transactions on Geoscience and Remote Sensing, 2005
- Nonnegative Matrix Factorization for Rapid Recovery of Constituent Spectra in Magnetic Resonance Chemical Shift Imaging of the BrainIEEE Transactions on Medical Imaging, 2004
- Learning the parts of objects by non-negative matrix factorizationNature, 1999
- Bidirectional reflectance spectroscopy: 1. TheoryJournal of Geophysical Research, 1981