Abstract | ||
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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 Li | 1 | 187 | 9.99 |
Chaomin Shen | 2 | 161 | 12.57 |
Jingsong Fan | 3 | 57 | 1.42 |
Chunli Shen | 4 | 106 | 2.99 |