Singularity theory and heat equation
Differential Geometry
2015-03-10 v1
Abstract
The paper (in French) exemplifies graphically a solution of the heat equation which is a 1-dimensional unfolding of an elliptic umbilic catastrophe. The example is due to James Damon and adapts Thom-Mather's singularity theory to multiscale models of scale-space analysis in image processing.
Keywords
Cite
@article{arxiv.1503.02290,
title = {Singularity theory and heat equation},
author = {Jean Petitot},
journal= {arXiv preprint arXiv:1503.02290},
year = {2015}
}
Comments
21 pages, in French, 30 figures