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

preprint2019arXivOpen access

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\nabla(-Δ_{\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.

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