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Total generalized variation
by
Kristian Bredies
,
Karl Kunisch
,
Thomas Pock
| Venue: | SIAM Journal on Imaging Sciences |
| Citations: | 109 - 17 self |
BibTeX
@ARTICLE{Bredies_totalgeneralized,
author = {Kristian Bredies and Karl Kunisch and Thomas Pock},
title = {Total generalized variation},
journal = {SIAM Journal on Imaging Sciences},
year = {},
pages = {2010}
}
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Abstract
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 semi-norm, 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.
