Title
Image restoration combining a total variational filter and a fourth-order filter
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.
Year
DOI
Venue
2007
10.1016/j.jvcir.2007.04.005
J. Visual Communication and Image Representation
Keywords
Field
DocType
variational method,combined algorithm,llt filter,fourth-order filter,total variational filter,noise removal algorithm,minimization problem,partial differential equation,image restoration,rof filter,total variation
Adaptive filter,Artificial intelligence,Image restoration,Noise removal,Topology,Computer vision,Uniqueness,Variational method,Fourth order,Algorithm,Kernel adaptive filter,Partial differential equation,Mathematics
Journal
Volume
Issue
ISSN
18
4
1047-3203
Citations 
PageRank 
References 
57
1.42
12
Authors
4
Name
Order
Citations
PageRank
Fang Li11879.99
Chaomin Shen216112.57
Jingsong Fan3571.42
Chunli Shen41062.99