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

Yoshikazu Giga; Yuki Ueda

doi:10.1016/j.jcp.2019.109114

paper

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

arXiv:1906.04394 · doi:10.1016/j.jcp.2019.109114

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 $\nabla (- Δ_{av})^{- 1}$ 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.