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Communication Dans Un Congrès Année : 2019

Quaternion non-negative matrix factorization: a new tool for spectropolarimetric imaging

Sebastian Miron
David Brie

Résumé

Quaternion non-negative matrix factorization (QNMF) is a new tool which generalizes usual non-negative matrix factorization (NMF) to the case of polarized signals. The approach relies on two key features: (i) the algebraic representation of polarization information, namely Stokes parameters, thanks to quaternions and (ii) the exploitation of physical constraints linked to polarization generalizing non-negativity constraints. QNMF improves NMF model identifiability by revealing the key disambiguating role played by polarization information. A simple and numerically efficient algorithm is introduced for practical resolution of the QNMF problem. Numerical experiments on synthetic data validate the proposed approach and illustrate the potential of QNMF as a generic spectropolarimetric image unmixing tool.
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Dates et versions

hal-02401855 , version 1 (10-12-2019)

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  • HAL Id : hal-02401855 , version 1

Citer

Julien Flamant, Sebastian Miron, David Brie. Quaternion non-negative matrix factorization: a new tool for spectropolarimetric imaging. 8th Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019, Dec 2019, Le Gosier, Guadeloupe, France. ⟨hal-02401855⟩
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