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Behavior of the Laplacian of Gaussian Extrema

Salvatore Tabbone 1 Laurent Alonso 2 Djemel Ziou
1 QGAR - Querying Graphics through Analysis and Recognition
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
2 ISA - Models, algorithms and geometry for computer graphics and vision
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
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 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.
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Submitted on : Thursday, October 19, 2006 - 9:07:34 AM
Last modification on : Friday, February 4, 2022 - 3:12:10 AM
Long-term archiving on: : Friday, November 25, 2016 - 12:48:56 PM

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  • HAL Id : inria-00107741, version 1

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

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