@article{M2AN_2000__34_4_799_0, author = {Ring, Wolfgang}, title = {Structural properties of solutions to total variation regularization problems}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {34}, year = {2000}, pages = {799-810}, mrnumber = {1784486}, zbl = {1018.49021}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_2000__34_4_799_0} }
Ring, Wolfgang. Structural properties of solutions to total variation regularization problems. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 34 (2000) pp. 799-810. http://gdmltest.u-ga.fr/item/M2AN_2000__34_4_799_0/
[1] Analysis of bounded variation penalty methods for ill-posed problems. Inverse Problems 10 (1994) 1217-1229. | MR 1306801 | Zbl 0809.35151
and ,[2] Analysis and Control of Nonlinear Infinite Dimensional Systems. Math. Sci. Engrg. 190 (1993). | MR 1195128 | Zbl 0776.49005
,[3] Image recovery via total variation minimization and related problems. Numer. Math. 76 (1997) 167-188. | MR 1440119 | Zbl 0874.68299
and ,[4] Regularization of linear least squares problems by total bounded variation. ESAIM Control Optim. Calc. Var. 2 (1997) 359-376. | Numdam | MR 1483764 | Zbl 0890.49010
and ,[5] Analysis of regularized total variation penalty methods for denoising. Inverse Problems 12 (1996) 601-617. | MR 1413421 | Zbl 0866.65041
and ,[6] Recovery of blocky images from noisy and blurred data. SIAM J. Appl. Math. 56 (1996) 1181-1192. | MR 1398414 | Zbl 0858.68121
and ,[7] Infinite-Dimensional Optimization and Convexity. Chicago Lectures in Math., The University of Chicago Press, Chicago and London (1983). | MR 769469 | Zbl 0565.49003
and ,[8] Measure Theory and Fine Properties of Functions. CRC Press, Boca Raton (1992). | MR 1158660 | Zbl 0804.28001
and ,[9] Elliptic Partial Differential Equations of Second Order. Grundlehren Math. Wiss. 224 (1977). | MR 473443 | Zbl 0361.35003
and ,[10] Minimal Surfaces and Functions of Bounded Variation. Monogr. Math. 80 (1984). | MR 775682 | Zbl 0545.49018
,[11] An active set strategy based on the augmented lagrantian formulation for image restauration. RAIRO Modél Math. Anal. Numér. 33 (1999) 1-21. | Numdam | MR 1685741 | Zbl 0918.65050
and ,[12] BV-type regularization methods for convoluted objects with edge-flat-grey scales. Inverse Problems 16 (2000) 909-928. | MR 1776474 | Zbl 0981.65149
and ,[13] Least squares and bounded variation regularization with nondifferentiable functionals. Numer. Funct. Anal. Optim. 19 (1998) 873-901. | MR 1642506 | Zbl 0914.65067
and ,[14] Local strong homogeneity of a regularized estimator. SIAM J. Appl. Math. (to appear). | MR 1780806 | Zbl 0991.94015
,[15] Nonlinear total variation based noise removal algorithm. Physica D 60 (1992) 259-268. | Zbl 0780.49028
, and ,[16] Real and Complex Analysis, 3rd edn McGraw-Hill, New York-St Louis-San Francisco (1987). | MR 924157 | Zbl 0925.00005
,[17] Iterative methods for total variation denoising. SIAM J. Sci. Comp. 17 (1996) 227-238. | MR 1375276 | Zbl 0847.65083
and ,[18] Weakly Differentiable Functions. Grad. Texts in Math. 120 (1989). | MR 1014685 | Zbl 0692.46022
,