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

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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [43 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01187314
Contributor : Open Archive Toulouse Archive Ouverte (oatao) <>
Submitted on : Wednesday, August 26, 2015 - 3:21:09 PM
Last modification on : Thursday, June 27, 2019 - 4:27:49 PM
Long-term archiving on : Friday, November 27, 2015 - 11:00:55 AM

File

wei_14213.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Qi Wei, Nicolas Dobigeon, Jean-Yves Tourneret. Fast Fusion of Multi-Band Images Based on Solving a Sylvester Equation. IEEE Transactions on Image Processing, Institute of Electrical and Electronics Engineers, 2015, vol. 24 (n° 11), pp. 4109-4121. ⟨10.1109/TIP.2015.2458572⟩. ⟨hal-01187314⟩

Share

Metrics

Record views

127

Files downloads

204