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

Numerical Analysis 2020-01-29 v1 Numerical Analysis

Abstract

The split Bregman framework for Osher-Sol\'e-Vese (OSV) model and fourth order total variation flow are studied. We discretize the problem by piecewise constant function and compute (Δav)1\nabla(-\Delta_{\mathrm{av}})^{-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.

Cite

@article{arxiv.1906.04394,
  title  = {Numerical computations of split Bregman method for fourth order total variation flow},
  author = {Yoshikazu Giga and Yuki Ueda},
  journal= {arXiv preprint arXiv:1906.04394},
  year   = {2020}
}
R2 v1 2026-06-23T09:49:45.449Z