Curvature Estimation for Discrete Curves based on Auto-adaptive Masks of Convolution - LIRMM - Laboratoire d’Informatique, de Robotique et de Microélectronique de Montpellier Access content directly
Conference Papers Year : 2010

Curvature Estimation for Discrete Curves based on Auto-adaptive Masks of Convolution

Abstract

We propose a method that we call auto-adaptive convolution which extends the classical notion of convolution in pictures analysis to function analysis on a discrete set. We define an averaging kernel which takes into account the local geometry of a discrete shape and adapts itself to the curvature. Its defining property is to be local and to follow a normal law on discrete lines of any slope. We used it together with classical differentiation masks to estimate first and second derivatives and give a curvature estimator of discrete functions.
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Dates and versions

lirmm-00462513 , version 1 (10-03-2010)

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Frédéric Rieux, Christophe Fiorio, Christian Mercat. Curvature Estimation for Discrete Curves based on Auto-adaptive Masks of Convolution. CompIMAGE, May 2010, Buffalo-Niagara, United States. pp.47-59, ⟨10.1007/978-3-642-12712-0_5⟩. ⟨lirmm-00462513⟩
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