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Hokkaido University Preprint Series in Mathematics >
Numerical computations of split Bregman method for fourth order total variation flow
| Title: | Numerical computations of split Bregman method for fourth order total variation flow |
| Authors: | Giga, Yoshikazu Browse this author | | Ueda, Yuki Browse this author |
| Keywords: | Total variation flow | | Singular diffusion | | Osher-Sol´e-Vese model | | Surface relaxation | | Fourth order model | | Split Bregman |
| Issue Date: | 13-Jun-2019 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1127 |
| Start Page: | 1 |
| End Page: | 27 |
| Abstract: | The split Bregman framework for Osher-Sol´e-Vese (OSV) model and fourth or-der total variation flow are studied. We discretize the problem by piecewise con- stant function and compute ∇(−∆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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/74629 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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