Journal article
Graduated adaptive image denoising: local compromise between total variation and isotropic diffusion
Advances in computational mathematics, Vol.31(1), pp.61-85
10/2009
Handle:
https://hdl.handle.net/2376/100521
Abstract
We introduce variants of the variational image denoising method proposed by Blomgren et al. (In: Numerical Analysis 1999 (Dundee), pp. 43–67. Chapman & Hall, Boca Raton, FL, 2000), which interpolates between total-variation denoising and isotropic diffusion denoising. We study how parameter choices affect results and allow tuning between TV denoising and isotropic diffusion for respecting texture on one spatial scale while denoising features assumed to be noise on finer spatial scales. Furthermore, we prove existence and (where appropriate) uniqueness of minimizers. We consider both L
2 and L
1 data fidelity terms.
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Details
- Title
- Graduated adaptive image denoising: local compromise between total variation and isotropic diffusion
- Creators
- Erik Bollt - Clarkson University P.O. Box 5815 Potsdam NY 13699 USARick Chartrand - Los Alamos National Laboratory Theoretical Division MS B284 Los Alamos NM 87545 USASelim Esedoḡlu - Department of Mathematics University of Michigan 2074 East Hall 530 Church Street Ann Arbor MI 48109 USAPete Schultz - Los Alamos National Laboratory Theoretical Division MS B284 Los Alamos NM 87545 USAKevin Vixie - Los Alamos National Laboratory Theoretical Division MS B284 Los Alamos NM 87545 USA
- Publication Details
- Advances in computational mathematics, Vol.31(1), pp.61-85
- Academic Unit
- Mathematics and Statistics, Department of
- Publisher
- Springer US; Boston
- Identifiers
- 99900546538301842
- Language
- English
- Resource Type
- Journal article