Behavior of the Laplacian of Gaussian Extrema

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

1 QGAR - Querying Graphics through Analysis and Recognition
2 ISA - Models, algorithms and geometry for computer graphics and vision

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 grey level is considered to be constant, linear or nonlinear in the case of linear models and constant for the other models. We are essentially interested in the extrema points provided by the Laplacian of Gaussian function. These extrema have nice scaling properties and can be used for detecting junction points, for tracking or indexing images. Moreover, we show that for infinite models the Laplacian of the Gaussian at the corner point is not always equal to zero.

Mots clés: scale space; espace échelle; laplacian extrema; gaussian filtering; filtrage gaussien; extrema du laplacien de la gaussienne

Domaines: Autre [cs.OH]

Salvatore Tabbone, Laurent Alonso, Djemel Ziou. Behavior of the Laplacian of Gaussian Extrema. [Intern report] A03-R-073 || tabbone03b, 2003, 37 p. ⟨inria-00107741⟩