no. 1
Piecewise linear approximation of smooth functions of two variables
Fu, Joseph H.G.1
1 Department of Mathematics University of Georgia Athens GA 30602 USA
Actes des rencontres du CIRM, Tome 3 (2013) no. 1, pp. 11-16.

The normal cycle of a singular subset X of a smooth manifold is a basic tool for understanding and computing the curvature of X. If X is replaced by a singular function on ℝ n then there is a natural companion notion called the gradient cycle of f, which has been introduced by the author and by R. Jerrard. We discuss a few fundamental facts and open problems about functions f that admit gradient cycles, with particular attention to the first nontrivial dimension n=2.

Publié le :
DOI : 10.5802/acirm.51
Classification : 00X99
Mots clés : graph theory, shape recognition, optimal transportation
Fu, Joseph H.G. 1

1 Department of Mathematics University of Georgia Athens GA 30602 USA 
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Fu, Joseph H.G. Piecewise linear approximation of smooth functions of two variables. Actes des rencontres du CIRM, Tome 3 (2013) no. 1, pp. 11-16. doi : 10.5802/acirm.51. http://www.numdam.org/articles/10.5802/acirm.51/

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