Section: New Results

Local regularity and multifractal methods for image and signal analysis

Participant : Pierrick Legrand.

We reviewed some of the important and recent applications of local regularity and multifractal analysis to signal/image processing [13] . (Multi)Fractal processing of signals and images is indeed now present in numerous applications. We tried to explain in a very concrete manner how tools developed for the study of irregular functions may be applied to solve typical problems of signal processing. These problems are denoising, biomedical signal analysis, segmentation, edge detection, change detection in sequences of images, image reconstruction.