Polar NURBS surface with curvature continuity - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Computer Graphics Forum Année : 2013

Polar NURBS surface with curvature continuity

Résumé

Polar NURBS surface is a kind of periodic NURBS surface, one boundary of which shrinks to a degenerate polarpoint. The specific topology of its control-point mesh offers the ability to represent a cap-like surface, which iscommon in geometric modeling. However, there is a critical and challenging problem that hinders its application:curvature continuity at the extraordinary singular pole. We first propose a sufficient and necessary condition ofcurvature continuity at the pole. Then, we present constructive methods for the two key problems respectively:how to construct a polar NURBS surface with curvature continuity and how to reform an ordinary polar NURBSsurface to curvature continuous. The algorithms only depend on the symbolic representation and operations ofNURBS, and they introduce no restrictions on the degree or the knot vectors. Examples and comparisons demonstratethe applications of the curvature-continuous polar NURBS surface in hole-filling and free-shape modeling.
Fichier principal
Vignette du fichier
ae_a_a_2013a_PolarNURBSsurface_e_a_.pdf (969.2 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00920671 , version 1 (19-12-2013)

Identifiants

Citer

Kan-Le Shi, Jun-Hai Yong, Lei Tang, Jia-Guang Sun, Jean-Claude Paul. Polar NURBS surface with curvature continuity. Computer Graphics Forum, 2013, 32 (7), pp.363-370. ⟨10.1111/cgf.12244⟩. ⟨hal-00920671⟩
206 Consultations
655 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More