Numerical computations of split Bregman method for fourth order total variation flow

Yoshikazu Giga, Yuki Ueda

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The split Bregman framework for Osher-Solé-Vese (OSV) model and fourth order total variation flow are studied. We discretize the problem by piecewise constant function and compute ∇(−Δav)−1 approximately and exactly. Furthermore, we provide a new shrinkage operator for Spohn's fourth order model. Numerical experiments are demonstrated for fourth order problems under periodic boundary condition.

Original languageEnglish
Article number109114
JournalJournal of Computational Physics
Volume405
DOIs
Publication statusPublished - 2020 Mar 15
Externally publishedYes

Keywords

  • Fourth order model
  • Osher-Solé-Vese model
  • Singular diffusion
  • Split Bregman
  • Surface relaxation
  • Total variation flow

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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