期刊
SIAM JOURNAL ON IMAGING SCIENCES
卷 3, 期 3, 页码 492-526出版社
SIAM PUBLICATIONS
DOI: 10.1137/090769521
关键词
bounded variation; total generalized variation; tensor fields; regularization; image denoising
类别
资金
- Austrian Science Fund (FWF) (SFB Research Center Mathematical Optimization and Applications in Biomedical Sciences) [SFB F32]
- Austrian Science Fund (FWF) [F 3203] Funding Source: researchfish
The novel concept of total generalized variation of a function u is introduced, and some of its essential properties are proved. Differently from the bounded variation seminorm, the new concept involves higher-order derivatives of u. Numerical examples illustrate the high quality of this functional as a regularization term for mathematical imaging problems. In particular this functional selectively regularizes on different regularity levels and, as a side effect, does not lead to a staircasing effect.
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