Multi-dimensional infinitely divisible cascades to model the statistics of natural images

Infinitely divisible cascades (IDC) were first introduced in one dimension to provide multifractal time series to model the so-called intermittency phenomenon in hydrodynamical turbulence. This work extends the definition of infinitely divisible cascades from 1 to N dimensions, and focuses on the 2D case in particular. 2D IDC appear as good candidates to model the statistics of natural images since they share most of their usual properties. The potential of IDC for applications to image processing (texture synthesis, denoising, etc) is emphasized.