Error term in pointwise approximation of the curvature of a curve

DOI10.1016/j.cagd.2010.06.001zbMath1223.53005OpenAlexW1974573189MaRDI QIDQ631053

Fabrice Orgeret, Vincent Borrelli

Publication date: 22 March 2011

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2010.06.001

zbMATH Keywords

discrete curvaturecurvature of curveserror term for curvatures

Mathematics Subject Classification ID

Algorithms for approximation of functions (65D15) Curves in Euclidean and related spaces (53A04) Polyhedral manifolds (52B70)

Cites Work

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• On surface normal and Gaussian curvature approximations given data sampled from a smooth surface
• On the angular defect of triangulations and the pointwise approximation of curvatures
• Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces
• Inequalities for the curvature of curves and surfaces
• Sur la courbure totale d'une courbe gauche faisant un nœud

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