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

Frédéric Rieux 1, 2 Christophe Fiorio 1 Christian Mercat 1, 2 
1 ARITH - Arithmétique informatique
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
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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Submitted on : Wednesday, March 10, 2010 - 8:59:14 AM
Last modification on : Friday, August 5, 2022 - 10:45:46 AM
Long-term archiving on: : Thursday, October 18, 2012 - 4:45:37 PM


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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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