Image restoration combining a total variational filter and a fourth-order filter

Authors:
Fang Li;Chaomin Shen;Jingsong Fan;Chunli Shen
Affiliations:
Department of Mathematics, East China Normal University, Shanghai 200062, China;Joint Laboratory for Imaging Science & Technology, and Department of Computer Science, East China Normal University, Shanghai 200062, China;Department of Mathematics, East China Normal University, Shanghai 200062, China;Department of Mathematics, East China Normal University, Shanghai 200062, China
Venue:
Journal of Visual Communication and Image Representation
Year:
2007

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Abstract

In this paper, a noise removal algorithm based on variational method and partial differential equations (PDEs) is proposed. It combines a total variational filter (ROF filter) with a fourth-order PDE filter (LLT filter). The combined algorithm takes the advantage of both filters since it is able to preserve edges while avoiding the staircase effect in smooth regions. The existence and uniqueness of a solution to the minimization problem is established. Experimental results illustrate the effectiveness of the model in image restoration.