Unfolding Of Surfaces - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports Year : 2002

Unfolding Of Surfaces

Boris Thibert

Abstract

This paper deals with the approximation of the unfolding of a smooth developpa- ble surface with a triangle mesh. First of all, we give an explicit approximat- ion of the unfolding of a smooth developable surface with the unfolding of a developable triangle mesh close to the smooth surface. The quality of the approximation depends on the maximal angle between the normals of the two surfaces and the relative curvature distance of the smooth surface (which is linked to the curvature of the smooth surface and the Hausdorff distance between the two surfaces). We give examples of sequences of developable triangle meshes inscribed on a sphere of radius 1, with a number of vertices and edges tending to infinity.

Domains

Other [cs.OH]
Fichier principal
Vignette du fichier
RR-4615.pdf (510.69 Ko) Télécharger le fichier
Loading...

Dates and versions

inria-00071970 , version 1 (23-05-2006)

Identifiers

  • HAL Id : inria-00071970 , version 1

Cite

Jean-Marie Morvan, Boris Thibert. Unfolding Of Surfaces. RR-4615, INRIA. 2002. ⟨inria-00071970⟩
71 View
652 Download

Share

Gmail Facebook Twitter LinkedIn More