Blind separation of images obtained by spatially-varying mixing system

The framework of blind separation of mixed images is extended to the case of mixing by a nonuniform medium. As an example, we provide a solution to blind separation of optically-distorted reflections superimposed on images taken through a curved semi-reflector. We use two images taken from slightly different locations, to remove the reflections. We consider the problem in the context of sparse blind source separation, where the sources are spatially-varying filtered prior to being mixed. The Scale Invariant Feature Transform (SIFT) is used to sparsify the images and estimate the mixing system. The sources are then estimated, using a variational approach. It uses a regularization operator, which is edge-preserving and color-channel coupled.