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arXiv · 1503.02290

Singularity theory and heat equation

Jean Petitot
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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.

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Jean Petitot. 2015-03-08. Singularity theory and heat equation. https://arxiv.org/abs/1503.02290

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