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Paper data
Total variation image restoration with local constraints

Bertalmío Marcelo, Universitat Pompeu Fabra, Barcelona
Caselles Vicent, Universitat Pompeu Fabra, Barcelona
Rougé Bernard, CNES, Toulouse
Solé Andrés, Universitat Pompeu Fabra, Barcelona

Page numbers in the proceedings:
Volume II pp 449-452

Image Restoration

Paper abstract
L. Rudin, S. Osher and E. Fatemi proposed a method for image restoration based on the minimization of the Total Variation submitted to the constraints given by the image acquisition model. To ensure the satisfaction of the constraints, a Lagrange multiplier $lambda$ has to be estimated. We observed that if $lambda$ is global, the constraints are also globally satisfied, but not locally. We discuss the problem of imposing local constraints with a finite number of Lagrange multipliers associated to a partition of the image and we display some experimental results obtained with this model.

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