with . The regularization by the significant structures leads to:
The basic idea of our method consists of detecting, at each scale, structures of a given size in the residual and putting them in the restored image . The process finishes when no more structures are detected. Then, we have separated the image into two images and . is the restored image, which does not contain any noise, and is the final residual which does not contain any structure. R is our estimation of the noise .