Error term in pointwise approximation of the curvature of a curve
type: Item
instance of: scholarly article
title: Error term in pointwise approximation of the curvature of a curve
zbMATH Open document ID: 1223.53005
author: Vincent Borrelli
author: Fabrice Orgeret
published in: Computer Aided Geometric Design
publication date: 2011-03-22T00:00:00Z
review text: The authors present an upper bound for the discrepancy between the curvature of a curve \(c\) and the discrete curvature of a polygonal approximation of \(c\). It does not only depend upon data of the polygon but also on suprema of the curvature of \(c\), its derivation and a so-called `return factor'.
Mathematics Subject Classification ID: 53A04
Mathematics Subject Classification ID: 65D15
Mathematics Subject Classification ID: 52B70
zbMATH DE Number: 5869129
zbMATH Keywords: curvature of curves
zbMATH Keywords: discrete curvature
zbMATH Keywords: error term for curvatures
reviewed by: Otto Röschel
MaRDI profile type: Publication
full work available at URL: j.cagd.2010.06.001
OpenAlex ID: W1974573189
cites work: Q3967967
cites work: Q4663652
cites work: On the angular defect of triangulations and the pointwise approximation of curvatures
cites work: A course in metric geometry
cites work: Inequalities for the curvature of curves and surfaces
cites work: Sur la courbure totale d'une courbe gauche faisant un nœud
cites work: On surface normal and Gaussian curvature approximations given data sampled from a smooth surface
cites work: Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces
DOI: 10.1016/J.CAGD.2010.06.001
description: scientific article; zbMATH DE number 5869129