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R-FUSE: robust fast fusion of multi-band images based on solving a Sylvester equation

Wei, Qi and Dobigeon, Nicolas and Tourneret, Jean-Yves and Bioucas-Dias, José M. and Godsill, Simon R-FUSE: robust fast fusion of multi-band images based on solving a Sylvester equation. (2016) IEEE Signal Processing Letters, 23 (11). 1632-1636. ISSN 1070-9908

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Official URL: http://dx.doi.org/10.1109/LSP.2016.2608858


This letter proposes a robust fast multiband image fusion method to merge a high-spatial low-spectral resolution im- age and a low-spatial high-spectral resolution image. Following the method recently developed by Wei et al., the generalized Sylvester matrix equation associated with the multiband image fusion problem is solved in a more robust and efficient way by exploiting the Woodbury formula, avoiding any permutation operation in the frequency domain as well as the blurring kernel invertibility assumption required in their method. Thanks to this improvement, the proposed algorithm requires fewer computational operations and is also more robust with respect to the blurring kernel compared with the one developed by Wei et al. The proposed new algorithm is tested with different priors considered by Wei et al. Our conclusion is that the proposed fusion algorithm is more robust than the one by Wei et al. with a reduced computational cost.

Item Type:Article
Additional Information:Thanks to IEEE editor. The definitive version is available at http://ieeexplore.ieee.org The original PDF can be found at IEEE Signal Processing Letters(ISSN 1070-9908) website : http://ieeexplore.ieee.org/document/7565485/ Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
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Deposited On:25 Jan 2017 15:38

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