• Corpus ID: 118064643

Singularity theory and heat equation

  title={Singularity theory and heat equation},
  author={Jean Petitot},
  journal={arXiv: Differential Geometry},
  • J. Petitot
  • Published 8 March 2015
  • Mathematics
  • arXiv: Differential Geometry
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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