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Fast Fusion of Multi-Band Images Based on Solving a Sylvester Equation

Wei, Qi and Dobigeon, Nicolas and Tourneret, Jean-Yves Fast Fusion of Multi-Band Images Based on Solving a Sylvester Equation. (2015) IEEE Transactions on Image Processing, 24 (11). 4109-4121. ISSN 1057-7149

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Official URL: http://dx.doi.org/10.1109/TIP.2015.2458572

Abstract

This paper proposes a fast multi-band image fusion algorithm, which combines a high-spatial low-spectral resolution image and a low-spatial high-spectral resolution image. The well admitted forward model is explored to form the likelihoods of the observations. Maximizing the likelihoods leads to solving a Sylvester equation. By exploiting the properties of the circulant and downsampling matrices associated with the fusion problem, a closed-form solution for the corresponding Sylvester equation is obtained explicitly, getting rid of any iterative update step. Coupled with the alternating direction method of multipliers and the block coordinate descent method, the proposed algorithm can be easily generalized to incorporate prior information for the fusion problem, allowing a Bayesian estimator. Simulation results show that the proposed algorithm achieves the same performance as the existing algorithms with the advantage of significantly decreasing the computational complexity of these algorithms.

Item Type:Article
Additional Information:Thanks to IEEE editor. The definitive version is available at http://ieeexplore.ieee.org The original PDF of the article can be found at IEEE website : http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=7163298
HAL Id:hal-01187314
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Laboratory name:
Funders:
Chinese Scholarship Council - Hypanema
Statistics:download
Deposited By: Nicolas DOBIGEON
Deposited On:26 Aug 2015 13:21

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