Structural properties of solutions to total variation regularization problems

Wolfgang Ring

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2000)

  • Volume: 34, Issue: 4, page 799-810
  • ISSN: 0764-583X

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Ring, Wolfgang. "Structural properties of solutions to total variation regularization problems." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 34.4 (2000): 799-810. <http://eudml.org/doc/194013>.

@article{Ring2000,
author = {Ring, Wolfgang},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {optimality system; total variation regularization; piecewise constant function; convex optimization; Lebesgue decomposition; singular measures; ill-posed problem; least-squares problem},
language = {eng},
number = {4},
pages = {799-810},
publisher = {Dunod},
title = {Structural properties of solutions to total variation regularization problems},
url = {http://eudml.org/doc/194013},
volume = {34},
year = {2000},
}

TY - JOUR
AU - Ring, Wolfgang
TI - Structural properties of solutions to total variation regularization problems
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2000
PB - Dunod
VL - 34
IS - 4
SP - 799
EP - 810
LA - eng
KW - optimality system; total variation regularization; piecewise constant function; convex optimization; Lebesgue decomposition; singular measures; ill-posed problem; least-squares problem
UR - http://eudml.org/doc/194013
ER -

References

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  12. [12] K. Ito and K. Kunisch, BV-type regularization methods for convoluted objects with edge-flat-grey scales. Inverse Problems 16 (2000) 909-928. Zbl0981.65149MR1776474
  13. [13] M. Z. Nashed and O. Scherzer, Least squares and bounded variation regularization with nondifferentiable functionals. Numer. Funct. Anal. Optim. 19 (1998) 873-901. Zbl0914.65067MR1642506
  14. [14] M. Nikolova, Local strong homogeneity of a regularized estimator. SIAM J. Appl. Math. (to appear). Zbl0991.94015MR1780806
  15. [15] L. Rudin, S. Osher and E. Fatemi, Nonlinear total variation based noise removal algorithm. Physica D 60 (1992) 259-268. Zbl0780.49028
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