Application of the topological gradient to image restoration and edge detection

被引：34

作者：

Belaid, L. Jaafar ^{[2
]}

Jaoua, M. ^{[2
,3
]}

Masmoudi, M. ^{[1
]}

Siala, L. ^{[1
]}

机构：

[1] Univ Toulouse 3, Lab MIR, CNRS, UMR 5640, F-31062 Toulouse, France

[2] Ecole Natl Ingn Tunis, ENIT, LAMSIN, Tunis, Tunisia

[3] Univ Nice Sophia Antipolis, Lab Jean Alexandre Dieudonne, CNRS, UMR 6621, Nice, France

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2008年 / 32卷 / 11期

关键词：

Image processing; Image restoration; Topological gradient; Edges detection; Diffusive methods; Anisotropic diffusive methods; Spectral methods; Preconditioning;

D O I：

10.1016/j.enganabound.2008.01.004

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We show in this paper that the emerging topological gradient method is a new way for modelling and solving image restoration problems. This method is considered in the frame of variational diffusive approaches for the minimization of potential energy with respect to conductivity. The numerical experiments show the efficiency of the topological gradient approach. The image is restored at the first iteration of the optimization process. Moreover, the computational cost of this iteration is reduced drastically using spectral methods. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：891 / 899

页数：9

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