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Iterative Image Restoration Combining Total Variation Minimization and a Second-Order Functional ∗ (2004)
| Citations: | 40 - 1 self |
BibTeX
@MISC{Lysaker04iterativeimage,
author = {Marius Lysaker and Xue-cheng Tai},
title = {Iterative Image Restoration Combining Total Variation Minimization and a Second-Order Functional ∗},
year = {2004}
}
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Abstract
Abstract. A noise removal technique using partial differential equations (PDEs) is proposed here. It combines the Total Variational (TV) filter with a fourth-order PDE filter. The combined technique is able to preserve edges and at the same time avoid the staircase effect in smooth regions. A weighting function is used in an iterative way to combine the solutions of the TV-filter and the fourth-order filter. Numerical experiments confirm that the new method is able to use less restrictive time step than the fourth-order filter. Numerical examples using images with objects consisting of edge, flat and intermediate regions illustrate advantages of the proposed model.
Keyphrases
second-order functional fourth-order filter weighting function numerical experiment numerical example intermediate region new method partial differential equation restrictive time step smooth region combined technique noise removal technique staircase effect iterative way total variational fourth-order pde filter
