Iterative Image Restoration Combining Total Variation Minimization and a Second-Order Functional

Authors:
Marius Lysaker;Xue-Cheng Tai
Affiliations:
Department of Scientific Computing, Simula Research Laboratory, AS, Norway;Aff2 Aff3
Venue:
International Journal of Computer Vision
Year:
2006

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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.