On Variational and PDE-Based Methods for Accurate Distance Function Estimation

P.-A. Fayolle, A. G. Belyaev

Research output: Contribution to journalArticlepeer-review

Abstract

A new variational problem for accurate approximation of the distance from the boundary of a domain is proposed and studied. It is shown that the problem can be efficiently solved by the alternating direction method of multipliers. Links between this problem and p-Laplacian diffusion are established and studied. Advantages of the proposed distance function estimation method are demonstrated by numerical experiments.

Original languageEnglish
Pages (from-to)2009-2016
Number of pages8
JournalComputational Mathematics and Mathematical Physics
Volume59
Issue number12
DOIs
Publication statusPublished - Dec 2019

Keywords

  • distance function
  • p-Laplacian
  • variational methods

ASJC Scopus subject areas

  • Computational Mathematics

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