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

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 $\nabla (-{\Delta }_{\mathrm{av}}{)}^{-1}$ 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.

References in corpus (2)

• The rate of convergence of Nesterov's accelerated forward-backward method is actually faster than $1/k^2$
• Total variation denoising in $l^1$ anisotropy

Cited by in corpus (1)

• A new numerical scheme for constrained total variation flows and its convergence