Displaying similar documents to “Subjective surfaces and Riemannian mean curvature flow of graphs.”

Gaussian curvature based tangential redistribution of points on evolving surfaces

Medľa, Matej, Mikula, Karol

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There exist two main methods for computing a surface evolution, level-set method and Lagrangian method. Redistribution of points is a crucial element in a Lagrangian approach. In this paper we present a point redistribution that compress quads in the areas with a high Gaussian curvature. Numerical method is presented for a mean curvature flow of a surface approximated by quads.

The evolution of the scalar curvature of a surface to a prescribed function

Paul Baird, Ali Fardoun, Rachid Regbaoui (2004)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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We investigate the gradient flow associated to the prescribed scalar curvature problem on compact riemannian surfaces. We prove the global existence and the convergence at infinity of this flow under sufficient conditions on the prescribed function, which we suppose just continuous. In particular, this gives a uniform approach to solve the prescribed scalar curvature problem for general compact surfaces.