Adaptive total variation for image restoration in BV space

Journal of Mathematical Analysis and Applications

Volumn 272, Issue 1, 2002, Pages 117-137

  Chen, Y ^a   Wunderli, T ^a  

^a UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036700323     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00141-5     Document Type: Article

References (13)

1. R. Acar, C.R. Vogel, Analysis of bounded variation penalty methods for ill-posed problems, Inverse Problems 10 (1994) 1217-1229.
2. H. Brezis, Operateurs Maximaux Monotone, North-Holland, Amsterdam, 1993.
3. R.E. Brück, Asymptotic convergence of nonlinear contraction semigroups in Hilbert space, J. Funct. Anal. 18 (1975) 15-26.
4. A. Chambolle, P.L. Lions, Image recovery via total variation minimization and related problems, Numer. Math. 76 (1997) 167-188.
5. T. Chan, D. Strong, Relation of regularization parameter and scale in total variation based image denoising (1996).
6. F. Giusti, Minimal Surfaces and Functions of Bounded Variation, Monographs Math., Vol. 80, Birkhäuser, Basel, 1984.
7. R. Hardt, X. Zhou, An evolution problem for linear growth functionals, Comm. Partial Differential Equations 19 (1994) 1879-1907.
8. J.L. Lions, Quelques Méthodes de Resolution des Problems aux Limites Non Linéaires, Dunod/Gauthier-Villars, Paris, 1969.
9. L. Rudin, S. Osher, E. Fatemi, Nonlinear total variation based noise removal algorithms, Phys. D 60 (1992) 259-268.
10. D. Strong, Adaptive total variation minimizing image restoration, Ph.D. thesis (1997).
11. R. Temam, Navier-Stokes Equations, Theory and Numerical Analysis, North-Holland, Amsterdam, 1977.
12. L. Vese, A study in the BV space of a denoising-deblurring variational problem, Appl. Math. Optim. 44 (2001) 131-161.
13. X. Zhou, An evolution problem for plastic antiplanar shear, Appl. Math. Optim. 25 (1992) 263-285.