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

Fang Li; Chaomin Shen; Jingsong Fan; Chunli Shen

doi:10.1016/j.jvcir.2007.04.005

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

Fang Li^*, Chaomin Shen, Jingsong Fan, Chunli Shen

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

Research output: Contribution to journal › Article › peer-review

192 Scopus citations

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.

Original language	English
Pages (from-to)	322-330
Number of pages	9
Journal	Journal of Visual Communication and Image Representation
Volume	18
Issue number	4
DOIs	https://doi.org/10.1016/j.jvcir.2007.04.005
State	Published - Aug 2007

Keywords

BV space
BV space
Fourth-order filter
Image restoration
Total variation

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10.1016/j.jvcir.2007.04.005

Cite this

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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.",

keywords = "BV space, BV space, Fourth-order filter, Image restoration, Total variation",

author = "Fang Li and Chaomin Shen and Jingsong Fan and Chunli Shen",

year = "2007",

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AU - Li, Fang

AU - Shen, Chaomin

AU - Fan, Jingsong

AU - Shen, Chunli

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N2 - 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.

AB - 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.

KW - BV space

KW - Fourth-order filter

KW - Image restoration

KW - Total variation

UR - https://www.scopus.com/pages/publications/34250796838

U2 - 10.1016/j.jvcir.2007.04.005

DO - 10.1016/j.jvcir.2007.04.005

M3 - 文章

AN - SCOPUS:34250796838

SN - 1047-3203

VL - 18

SP - 322

EP - 330

JO - Journal of Visual Communication and Image Representation

JF - Journal of Visual Communication and Image Representation

IS - 4

ER -

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

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Keywords

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