Aug 7, 2001

Wedding Continuous Wavelets and PDE's ?

Laurent Demanet
Theoretical Physics Institute,
University of Louvain, Belgium.

Wavelets and PDE's are usually and rightly considered as very different approaches for, say, image denoising. We shall however review how the Continuous Wavelet Transform (CWT) can be expressed using solutions of the heat equation. This simple link is not very exciting on its own, but might lead to interesting applications such as (1) a fast implementation of the CWT, (2) an extension of the CWT and linear filtering to manifolds, and (3) nonlinear multiresolution analyses from usual scale-spaces. The talk will be short and will mainly discuss ideas for future work.