Regularization of linear least squares problems by total bounded variation

G. Chavent; K. Kunisch

ESAIM: Control, Optimisation and Calculus of Variations (1997)

  • Volume: 2, page 359-376
  • ISSN: 1292-8119

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Chavent, G., and Kunisch, K.. "Regularization of linear least squares problems by total bounded variation." ESAIM: Control, Optimisation and Calculus of Variations 2 (1997): 359-376. <http://eudml.org/doc/90513>.

@article{Chavent1997,
author = {Chavent, G., Kunisch, K.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {asymptotic analysis; functions of bounded variation; regularization of linear least-squares problems; necessary optimality conditions},
language = {eng},
pages = {359-376},
publisher = {EDP Sciences},
title = {Regularization of linear least squares problems by total bounded variation},
url = {http://eudml.org/doc/90513},
volume = {2},
year = {1997},
}

TY - JOUR
AU - Chavent, G.
AU - Kunisch, K.
TI - Regularization of linear least squares problems by total bounded variation
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 1997
PB - EDP Sciences
VL - 2
SP - 359
EP - 376
LA - eng
KW - asymptotic analysis; functions of bounded variation; regularization of linear least-squares problems; necessary optimality conditions
UR - http://eudml.org/doc/90513
ER -

References

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  2. [2] J. Baumeister: Stable Solutions of Inverse Problems, Vieweg, Braunschweig, 1987. Zbl0623.35008MR889048
  3. [3] E. Casas, K. Kunisch, C. Pola: Regularization by functions of bounded variation and applications to image enhancement, preprint. Zbl0942.49014MR1692383
  4. [4] G. Chavent, K. Kunisch: Convergence of Tikhonov regularization for constrained ill-posed inverse problems, Inverse Problems, 10 ( 1994), 63-76. Boston, 1985. Zbl0799.65061MR1259438
  5. [5] V. Girault, P. A. Raviart: Finite Elements, Methods for Navier-Stokes Equations, Springer, Berlin, 1984. Zbl0585.65077MR851383
  6. [6] E. Giusti: Minimal Surfaces and Functions of Bounded Variation, Birkhäuser, Boston, 1984. Zbl0545.49018MR775682
  7. [7] C. W. Groetsch: The Theory of Tikhonov Regularization for Fredholm Equations of the First Kind, Pitman, Boston, 1984. Zbl0545.65034MR742928
  8. [8] A. K. Louis: Inverse und schlechtgestellte Probleme, Teubner, Stuttgart, 1989. Zbl0667.65045MR1002946
  9. [9] V. G. Mazja: Sobolev Spaces, Springer, Berlin, 1985. MR817985
  10. [10] W. Rudin: Real and Complex Analysis, McGraw Hill, London, 1970. Zbl0925.00005
  11. [11] L. Rudin, S. Osher, E. Fatemi: Nonlinear total variation based noise removal algorithm, Physica D, 60 ( 1992), 259-268. Zbl0780.49028
  12. [12] R. Temam: Mathematical Problems in Plasticity, Gauthier-Villars, Kent, 1985. Zbl0457.73017MR711964
  13. [13] C. Vogel, M. Oman: Iterative methods for total variation denoising, preprint. Zbl0847.65083MR1375276

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