On the approximation of a smooth surface with a triangulated mesh
type: Item
instance of: scholarly article
title: On the approximation of a smooth surface with a triangulated mesh
zbMATH Open document ID: 1014.65017
DOI: 10.1016/S0925-7721(02)00097-4
author: Jean-Marie Morvan
author: Boris Thibert
published in: Computational Geometry
publication date: 2003-03-10T00:00:00Z
review text: The normals and the area of a smooth surface is approximated with the normals and the area of a triangulated mesh whose vertices belong to the smooth surface. The approximations depend on the triangulated mesh, an upper bound of the smooth surface curvature, an upper bound on its reach, and an upper bound of the Hausdorff distance between both surfaces. It is proved that the upper bound of the error of the normals is better when triangles are right-angled.
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 1879166
zbMATH Keywords: smooth surfaces
zbMATH Keywords: triangulated mesh
zbMATH Keywords: error bound
zbMATH Keywords: curvature
zbMATH Keywords: Hausdorff distance
reviewed by: Dana Petcu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1879166