R-FUSE: Robust Fast Fusion of Multiband Images Based on Solving a Sylvester Equation

Qi Wei (1) , Nicolas Dobigeon (2, 3) , Jean-Yves Tourneret (4, 3) , José M. Bioucas-Dias (5) , Simon Godsill (1)

1 CAM - University of Cambridge [UK]
2 IRIT-SC - Signal et Communications
3 Toulouse INP - Institut National Polytechnique (Toulouse)
4 IRIT-MINDS - CoMputational imagINg anD viSion
5 IST - Instituto Superior Técnico, Universidade Técnica de Lisboa

Abstract—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.

Mots clés: Sylvester equation; multiband image fusion; Woodbury formula.; Circulant matrix

Domaines: Traitement du signal et de l'image [eess.SP]

Qi Wei, Nicolas Dobigeon, Jean-Yves Tourneret, José M. Bioucas-Dias, Simon Godsill. R-FUSE: Robust Fast Fusion of Multiband Images Based on Solving a Sylvester Equation. IEEE Signal Processing Letters, 2016, vol. 23 (n° 11), pp. 1632-1636. ⟨10.1109/LSP.2016.2608858⟩. ⟨hal-01407440⟩