Image selective smoothing and edge detection by nonlinear diffusion

Francine CATTÉ; Pierre-Louis LIONS; JeanÉMichel MOREL; Tomeu COLL

doi:10.1137/0729012

Image selective smoothing and edge detection by nonlinear diffusion

Francine CATTÉ^*
, Pierre-Louis LIONS
, JeanÉMichel MOREL
, Tomeu COLL

^*Corresponding author for this work

Research output: Journal Publications › Journal Article (refereed) › peer-review

1577 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	182-193
Number of pages	12
Journal	SIAM Journal on Numerical Analysis
Volume	29
Issue number	1
DOIs	https://doi.org/10.1137/0729012
Publication status	Published - Feb 1992
Externally published	Yes

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title = "Image selective smoothing and edge detection by nonlinear diffusion",

abstract = "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.",

author = "Francine CATT{\'E} and Pierre-Louis LIONS and Jean{\'E}Michel MOREL and Tomeu COLL",

year = "1992",

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AU - CATTÉ, Francine

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AU - MOREL, JeanÉMichel

AU - COLL, Tomeu

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Y1 - 1992/2

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0026821645

U2 - 10.1137/0729012

DO - 10.1137/0729012

M3 - Journal Article (refereed)

AN - SCOPUS:0026821645

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VL - 29

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EP - 193

JO - SIAM Journal on Numerical Analysis

JF - SIAM Journal on Numerical Analysis

IS - 1

ER -

Image selective smoothing and edge detection by nonlinear diffusion

Abstract

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