Behavior of the Laplacian of Gaussian Extrema

  • Authors:
  • S. A. Tabbone;L. Alonso;D. Ziou

  • Affiliations:
  • Loria-UMR no 7503, University of Nancy2-INRIA Lorraine, Vandœuvre-Les-Nancy, France 54506;Loria-UMR no 7503, University of Nancy2-INRIA Lorraine, Vandœuvre-Les-Nancy, France 54506;Département de Mathématiques et Informatique, Université de Sherbrooke, Québec, Canada J1K 2R1

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 2005

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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.