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Behavior of the Laplacian of Gaussian Extrema

Identifieur interne : 007464 ( Main/Merge ); précédent : 007463; suivant : 007465

Behavior of the Laplacian of Gaussian Extrema

Auteurs : Salvatore Tabbone [France] ; Laurent Alonso [France] ; Djemel Ziou [Canada]

Source :

RBID : Hal:inria-00100243

Descripteurs français

Abstract

This paper analyses the behavior in scale space of linear junction models (L, Y and X models), nonlinear junction models, and linear junction multi-models. The variation of the grey level is considered to be constant, linear or nonlinear in the case of linear models and constant for the other models. We are mainly interested in the extrema points provided by the Laplacian of the Gaussian function. Moreover, we show that for infinite models the Laplacian of the Gaussian at the corner point is not always equal to zero.

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Hal:inria-00100243

Le document en format XML

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<orgName>Institut National Polytechnique de Lorraine</orgName>
<orgName type="acronym">INPL</orgName>
<date type="end">2011-12-31</date>
<desc>
<address>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-2496" type="direct">
<org type="laboratory" xml:id="struct-2496" status="OLD">
<orgName>INRIA Lorraine</orgName>
<desc>
<address>
<addrLine>615 rue du Jardin Botanique 54600 Villers-lès-Nancy</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre-de-recherche-inria/nancy-grand-est</ref>
</desc>
<listRelation>
<relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
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</hal:affiliation>
<country>France</country>
<placeName>
<settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université Nancy 2</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
<placeName>
<settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Institut national polytechnique de Lorraine</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
</affiliation>
</author>
<author>
<name sortKey="Ziou, Djemel" sort="Ziou, Djemel" uniqKey="Ziou D" first="Djemel" last="Ziou">Djemel Ziou</name>
<affiliation wicri:level="1">
<hal:affiliation type="laboratory" xml:id="struct-10903" status="INCOMING">
<orgName>Quebec</orgName>
<orgName type="acronym">TéLé-UNIVERSITé</orgName>
<desc>
<address>
<country key="CA"></country>
</address>
<ref type="url">http://www.teluq.uquebec.ca/webteluq/index.html</ref>
</desc>
<listRelation>
<relation active="#struct-300568" type="direct"></relation>
</listRelation>
<tutelles>
<tutelle active="#struct-300568" type="direct">
<org type="institution" xml:id="struct-300568" status="VALID">
<orgName>Aucune</orgName>
<desc>
<address>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>Canada</country>
</affiliation>
</author>
</analytic>
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<profileDesc>
<textClass>
<keywords scheme="mix" xml:lang="fr">
<term>espace échelle</term>
<term>extrema du laplacien</term>
<term>filtrage gaussien</term>
<term>gaussian filtering</term>
<term>laplacian extrema</term>
<term>scale space</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front>
<div type="abstract" xml:lang="en">This paper analyses the behavior in scale space of linear junction models (L, Y and X models), nonlinear junction models, and linear junction multi-models. The variation of the grey level is considered to be constant, linear or nonlinear in the case of linear models and constant for the other models. We are mainly interested in the extrema points provided by the Laplacian of the Gaussian function. Moreover, we show that for infinite models the Laplacian of the Gaussian at the corner point is not always equal to zero.</div>
</front>
</TEI>
</record>

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