2000 character limit reached
Numerical computation of the cut locus via a variational approximation of the distance function (2006.08240v2)
Published 15 Jun 2020 in math.NA, cs.NA, math.AP, and math.DG
Abstract: We propose a new method for the numerical computation of the cut locus of a compact submanifold of $\mathbb{R}3$ without boundary. This method is based on a convex variational problem with conic constraints, with proven convergence. We illustrate the versatility of our approach by the approximation of Voronoi cells on embedded surfaces of $\mathbb{R}3$.
Collections
Sign up for free to add this paper to one or more collections.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.