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arXiv · 1906.04394

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

Yoshikazu Giga·Yuki Ueda
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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 $\nabla(-Δ_{\mathrm{av}})^{-1}$ 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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Yoshikazu Giga, Yuki Ueda. 2019-06-11. Numerical computations of split Bregman method for fourth order total variation flow. https://doi.org/10.1016/j.jcp.2019.109114

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