Singularity theory and heat equation. Theorie des singularites etequations de diffusion: illustration graphique d'un exemple.
Jean Petitot · arXiv (Cornell University) · 2015
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.