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Publication 08-CNA-10

A Higher Order Model for Image Restoration: The One Dimensional Case

G. Dal Maso
SISSA
Via Beirut 2
34014 Trieste, Italy dalmaso@sissa.it

I. Fonseca
Carnegie Mellon University
Department of Mathematical Sciences
Pittsburgh, PA 15213
fonseca@andrew.cmu.edu

G. Leoni
Carnegie Mellon Univeristy
Department of Mathematical Sciences
Pittsburgh, PA 15213
giovanni@andrew.cmu.edu

and

M. Morini
SISSA
Via Beirut 2
34014 Trieste, Italy
morini@sissa.it


Abstract. The one-dimensional version of the higher order total variation-based model for image restoration proposed by Chan, Marquina, and Mulet in [4] is analyzed. A suitable functional framework in which the minimization problem is well posed is being proposed and it is proved analytically that the higher order regularizing term prevents the occurrence of the staircase effect.

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