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 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.

Mots clés: laplacian extrema; gaussian filtering; scale space

Domaines: Bibliothèque électronique [cs.DL]

Salvatore Tabbone, Laurent Alonso, Djemel Ziou. Behavior of the Laplacian of Gaussian Extrema. Journal of Mathematical Imaging and Vision, 2005, 23 (1), pp.107-128. ⟨10.1007/s10851-005-4970-7⟩. ⟨inria-00001244⟩