p-Laplace diffusion for distance function estimation, optimal transport approximation, and image enhancement

Pierre-Alain Fayolle, Alexander G. Belyaev

Research output: Contribution to journalArticle

3 Citations (Scopus)
27 Downloads (Pure)

Abstract

In this paper, we propose ADMM-based numerical schemes for power-law diffusion equations involving the p-Laplacian div(|∇u|p−2∇u) with constant (p=const) and variable (p=p(x)) exponents. Applications to distance function and optimal transport approximations (p is large and constant) and image enhancement (p is small and variable) are considered.

Original languageEnglish
Pages (from-to)1-20
Number of pages20
JournalComputer Aided Geometric Design
Volume67
Early online date19 Sep 2018
DOIs
Publication statusPublished - Dec 2018

Keywords

  • Distance function estimation
  • Image enhancement
  • Optimal transport approximation
  • p-Laplacian
  • Power-law diffusion

ASJC Scopus subject areas

  • Modelling and Simulation
  • Automotive Engineering
  • Aerospace Engineering
  • Computer Graphics and Computer-Aided Design

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