Compressive Source Separation: Theory and Methods for Hyperspectral Imaging

Mohammad Golbabaee, Simon Arberet, Pierre Vandergheynst

Research output: Contribution to journalArticlepeer-review

33 Citations (SciVal)

Abstract

We propose and analyze a new model for hyperspectral images (HSIs) based on the assumption that the whole signal is composed of a linear combination of few sources, each of which has a specific spectral signature, and that the spatial abundance maps of these sources are themselves piecewise smooth and therefore efficiently encoded via typical sparse models. We derive new sampling schemes exploiting this assumption and give theoretical lower bounds on the number of measurements required to reconstruct HSI data and recover their source model parameters. This allows us to segment HSIs into their source abundance maps directly from compressed measurements. We also propose efficient optimization algorithms and perform extensive experimentation on synthetic and real datasets, which reveals that our approach can be used to encode HSI with far less measurements and computational effort than traditional compressive sensing methods.
Original languageEnglish
Article numberVolume: 22, Issue: 12
Pages (from-to)5096 - 5110
JournalIEEE Transactions on Image Processing
Volume22
Issue number12
DOIs
Publication statusPublished - 11 Sep 2013

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