InforLorV4, Hal, Corpus, bibRecord, 001215

Behavior of the Laplacian of Gaussian Extrema

Identifieur interne : 001215 ( Hal/Corpus ); précédent : 001214; suivant : 001216

Behavior of the Laplacian of Gaussian Extrema

Auteurs : Salvatore Tabbone ; Laurent Alonso ; Djemel Ziou

Source :

Journal of Mathematical Imaging and Vision [ 0924-9907 ] ; 2005.

RBID : Hal:inria-00001244

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.

Url:

https://hal.inria.fr/inria-00001244

DOI: 10.1007/s10851-005-4970-7

Links to Exploration step

Hal:inria-00001244

Le document en format XML

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<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>
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<idno type="stamp" n="LORIA-TALC" p="LORIA">Traitement automatique des langues et des connaissances</idno>
<idno type="stamp" n="LORIA">LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications</idno>
<idno type="stamp" n="UNIV-LORRAINE">Université de Lorraine</idno>
<idno type="stamp" n="INRIA-LORRAINE">INRIA Nancy - Grand Est</idno>
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<sourceDesc><biblStruct><analytic><title xml:lang="en">Behavior of the Laplacian of Gaussian Extrema</title>
<author role="aut"><persName><forename type="first">Salvatore</forename>
<surname>Tabbone</surname>
</persName>
<idno type="halAuthorId">63959</idno>
<affiliation ref="#struct-2361"></affiliation>
</author>
<author role="aut"><persName><forename type="first">Laurent</forename>
<surname>Alonso</surname>
</persName>
<email>alonso@loria.fr</email>
<idno type="halAuthorId">52502</idno>
<affiliation ref="#struct-2350"></affiliation>
</author>
<author role="aut"><persName><forename type="first">Djemel</forename>
<surname>Ziou</surname>
</persName>
<idno type="halAuthorId">91210</idno>
</author>
</analytic>
<monogr><idno type="halJournalId" status="VALID">15761</idno>
<idno type="issn">0924-9907</idno>
<idno type="eissn">1573-7683</idno>
<title level="j">Journal of Mathematical Imaging and Vision</title>
<imprint><publisher>Springer Verlag</publisher>
<biblScope unit="volume">23</biblScope>
<biblScope unit="issue">1</biblScope>
<biblScope unit="pp">107-128</biblScope>
<date type="datePub">2005</date>
</imprint>
</monogr>
<idno type="doi">10.1007/s10851-005-4970-7</idno>
</biblStruct>
</sourceDesc>
<profileDesc><langUsage><language ident="en">English</language>
</langUsage>
<textClass><keywords scheme="author"><term xml:lang="ro">laplacian extrema</term>
<term xml:lang="ro">gaussian filtering</term>
<term xml:lang="ro">scale space</term>
</keywords>
<classCode scheme="halDomain" n="info.info-dl">Computer Science [cs]/Digital Libraries [cs.DL]</classCode>
<classCode scheme="halTypology" n="ART">Journal articles</classCode>
</textClass>
<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.</abstract>
</profileDesc>
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Behavior of the Laplacian of Gaussian Extrema

Behavior of the Laplacian of Gaussian Extrema

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