IMAGE SELECTIVE SMOOTHING AND EDGE-DETECTION BY NONLINEAR DIFFUSION

被引：1382

作者：

CATTE, F ^{[1
]}

LIONS, PL ^{[1
]}

MOREL, JM ^{[1
]}

COLL, T ^{[1
]}

机构：

[1] UNIV ILLES BALEARS, DEPT MATEMAT INFORMAT, PALMA DE MALLORCA, SPAIN

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1992年 / 29卷 / 01期

关键词：

MULTISCALE IMAGE ANALYSIS; EDGE DETECTION; PARABOLIC EQUATION; NONLINEAR DIFFUSION; STABILITY;

D O I：

10.1137/0729012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new version of the Perona and Malik theory for edge detection and image restoration is proposed. This new version keeps all the improvements of the original model and avoids its drawbacks: it is proved to be stable in presence of noise, with existence and uniqueness results. Numerical experiments on natural images are presented.

引用

页码：182 / 193

页数：12

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[1] SOLUTION OF NONLINEAR DIFFUSION APPEARING IN IMAGE SMOOTHING AND EDGE-DETECTION [J].

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MIKULA, K .

APPLIED NUMERICAL MATHEMATICS, 1995, 17 (01) :47-59

[2] A MODIFIED NONLINEAR DIFFUSION MODEL AND ITS APPLICATION TO IMAGE SMOOTHING AND EDGE DETECTION [J].

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[3] IMAGE SMOOTHING AND EDGE-DETECTION BY HERMITE INTEGRATION [J].

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[4] A REGULARIZATION METHOD FOR ONEDIMENSIONAL EDGE-DETECTION AND EDGE-PRESERVING SMOOTHING [J].

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[5] On Selecting the Appropriate Scale in Image Selective Smoothing by Nonlinear Diffusion [J].

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[6] SCALE-SPACE AND EDGE-DETECTION USING ANISOTROPIC DIFFUSION [J].

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MALIK, J .

IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1990, 12 (07) :629-639

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[9] ROBUST EDGE-DETECTION [J].

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[10] ROBUST TECHNIQUES FOR EDGE-DETECTION IN MULTIPLICATIVE WEIBULL IMAGE NOISE [J].

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