Image fusion with the multiscale Hermite transform

The steered multiscale Hermite transform is introduced as a tool for image fusion. It is shown how this transform's particular characteristics, closely related to important visual perception properties, efficiently reproduce relevant image structures in the fused products. Two cases of remote sensing image fusion are presented, namely multispectral with panchromatic fusion and SAR with multispectral fusion. In the latter, a noise reduction algorithm also based on the Hermite transform is incorporated within the fusion scheme so that characteristic SAR image speckle is reduced and thus limited from corrupting fused products.