On the approximation of a smooth surface with a triangulated mesh
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.
scientific article; zbMATH DE number 1879166