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Multigrid Convergent Curvature Estimator

Christophe Fiorio 1, 2 Christian Mercat 3 Frédéric Rieux 4, 2
1 ARITH - Arithmétique informatique
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
2 ICAR - Image & Interaction
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : We propose in this paper an estimator of derivative and curvature of discrete curves. Based on adaptive convolution that preserves contour, we use local geometrical information as the heat kernel to con-volve with a discrete curve and give estimation of its geometrical parameters. We recover on regular part of the curve the classical convolution based on gaussian kernel. We study the bounded error of our approach for first and second order derivative and we discuss about the multigrid convergence.
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-01379922
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Submitted on : Wednesday, October 12, 2016 - 10:16:16 AM
Last modification on : Wednesday, November 20, 2019 - 2:31:37 AM

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Christophe Fiorio, Christian Mercat, Frédéric Rieux. Multigrid Convergent Curvature Estimator. DGCI: Discrete Geometry for Computer Imagery, Mar 2013, Séville, Spain. pp.395-406, ⟨10.1007/978-3-642-37067-0_34⟩. ⟨lirmm-01379922⟩

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