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inria-00001244, version 1

Behavior of the Laplacian of Gaussian Extrema

Salvatore Tabbone 1, Laurent Alonso () 2, Djemel Ziou

Journal of Mathematical Imaging and Vision 23, 1 (2005) 107-128

Résumé : 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.

  • 1 :  QGAR (INRIA Lorraine - LORIA)
  • INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL) – CNRS : UMR7503
  • 2 :  ISA (INRIA Lorraine - LORIA)
  • INRIA – CNRS : UMR7503 – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
  • Domaine : Informatique/Bibliothèque électronique
  • Mots-clés : laplacian extrema – gaussian filtering – scale space
  • Commentaire : http://www.springerlink.com
 
  • inria-00001244, version 1
  • http://hal.inria.fr/inria-00001244
  • oai:hal.inria.fr:inria-00001244
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  • Soumis le : Mardi 11 Avril 2006, 17:00:45
  • Dernière modification le : Vendredi 30 Juin 2006, 16:49:21