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Journal Articles Journal of Mathematical Imaging and Vision Year : 2005

Behavior of the Laplacian of Gaussian Extrema

Djemel Ziou
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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.

Dates and versions

inria-00001244 , version 1 (11-04-2006)

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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⟩
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