Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639909 | Journal of Computational and Applied Mathematics | 2011 | 13 Pages |
Abstract
Total variation minimisation is a well-established method for digital image restoration. Its implicit preservation of edges permits the derivation of anisotropic models for a qualitative improvement at corners. This paper is a synopsis of anisotropic models with state-of-the-art insights into the numerics of isotropic models. We generalise two representative models from both branches of research. This formulation leads to a general convergent algorithm and a general highly efficient algorithm which apply for both cases. A transfer of the discretisation from the anisotropic model to the isotropic setting results in an improvement of rotational invariance.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Harald Birkholz,