A higher order model for image restoration: the one dimensional case

Details A higher order model for image restoration: the one dimensional case A higher order model for image restoration: the one dimensional case

2007-09-10

arxiv.org/abs/0709.1425v1

Mathematics

Optimization and Control

34 pages

Scientific paper

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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