Behavior of the Laplacian of Gaussian Extrema
Identifieur interne : 001217 ( Hal/Corpus ); précédent : 001216; suivant : 001218Behavior of the Laplacian of Gaussian Extrema
Auteurs : Salvatore Tabbone ; Laurent Alonso ; Djemel ZiouSource :
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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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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><hal api="V3"><titleStmt><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><email>tabbone@loria.fr</email><idno type="halauthor">150075</idno><orgName ref="#struct-300292"></orgName><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="halauthor">129842</idno><orgName ref="#struct-300009"></orgName><affiliation ref="#struct-2350"></affiliation></author><author role="aut"><persName><forename type="first">Djemel</forename><surname>Ziou</surname></persName><email></email><idno type="halauthor">131497</idno><orgName ref="#struct-365055"></orgName><affiliation ref="#struct-10903"></affiliation></author><editor role="depositor"><persName><forename>Publications</forename><surname>Loria</surname></persName><email>publications@loria.fr</email></editor></titleStmt><editionStmt><edition n="v1" type="current"><date type="whenSubmitted">2006-09-26 10:16:04</date><date type="whenModified">2016-05-19 01:09:06</date><date type="whenReleased">2006-09-28 15:22:47</date><date type="whenProduced">2004</date></edition><respStmt><resp>contributor</resp><name key="108626"><persName><forename>Publications</forename><surname>Loria</surname></persName><email>publications@loria.fr</email></name></respStmt></editionStmt><publicationStmt><distributor>CCSD</distributor><idno type="halId">inria-00100243</idno><idno type="halUri">https://hal.inria.fr/inria-00100243</idno><idno type="halBibtex">tabbone:inria-00100243</idno><idno type="halRefHtml">[Intern report] A04-R-033 || tabbone04a, 2004, 22 p</idno><idno type="halRef">[Intern report] A04-R-033 || tabbone04a, 2004, 22 p</idno></publicationStmt><seriesStmt><idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno><idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno><idno type="stamp" n="INPL">Institut National Polytechnique de Lorraine</idno><idno type="stamp" n="LORIA2">Publications du LORIA</idno><idno type="stamp" n="INRIA-NANCY-GRAND-EST">INRIA Nancy - Grand Est</idno><idno type="stamp" n="LORIA">LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications</idno><idno type="stamp" n="LORIA-TALC" p="LORIA">Traitement automatique des langues et des connaissances</idno><idno type="stamp" n="UNIV-LORRAINE">Université de Lorraine</idno><idno type="stamp" n="INRIA-LORRAINE">INRIA Nancy - Grand Est</idno><idno type="stamp" n="LABO-LORIA-SET" p="LORIA">LABO-LORIA-SET</idno></seriesStmt><notesStmt><note type="commentary">Rapport interne.</note><note type="audience" n="0">Not set</note><note type="report" n="3">Intern report</note></notesStmt><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><email>tabbone@loria.fr</email><idno type="halAuthorId">150075</idno><orgName ref="#struct-300292"></orgName><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">129842</idno><orgName ref="#struct-300009"></orgName><affiliation ref="#struct-2350"></affiliation></author><author role="aut"><persName><forename type="first">Djemel</forename><surname>Ziou</surname></persName><idno type="halAuthorId">131497</idno><orgName ref="#struct-365055"></orgName><affiliation ref="#struct-10903"></affiliation></author></analytic><monogr><idno type="reportNumber">A04-R-033 || tabbone04a</idno><imprint><biblScope unit="pp">22 p</biblScope><date type="datePub">2004</date></imprint></monogr></biblStruct></sourceDesc><profileDesc><langUsage><language ident="en">English</language></langUsage><textClass><keywords scheme="author"><term xml:lang="fr">extrema du laplacien</term><term xml:lang="fr">scale space</term><term xml:lang="fr">laplacian extrema</term><term xml:lang="fr">gaussian filtering</term><term xml:lang="fr">filtrage gaussien</term><term xml:lang="fr">espace échelle</term></keywords><classCode scheme="halDomain" n="info.info-oh">Computer Science [cs]/Other [cs.OH]</classCode><classCode scheme="halTypology" n="REPORT">Reports</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></hal></record>Pour manipuler ce document sous Unix (Dilib)
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