Shape Smoothing using Double Offsets - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2007

Shape Smoothing using Double Offsets

Résumé

It has been observed for a long time that the operation consisting of offsetting a solid by a quantity r and then offsetting its complement by d < r produces, in some cases, a new solid with the same topology but with a smooth boundary. While this fact has been widely used in Computer Aided Geometric Design or in the field of image processing, we provide here for the first time a tight and robust condition that guarantees the smoothness of the new solid and gives a lower bound on its reach (distance to the medial axis). This condition is based on the general properties of the distance function to a compact set and relies on the recently introduced critical function and μ-reach.
Fichier non déposé

Dates et versions

hal-00171507 , version 1 (12-09-2007)

Identifiants

Citer

Frédéric Chazal, David Cohen-Steiner, André Lieutier, Boris Thibert. Shape Smoothing using Double Offsets. SPM '07 - Solid and Physical Modeling, Jun 2007, Beijing, China. pp.183-192, ⟨10.1145/1236246.1236273⟩. ⟨hal-00171507⟩
184 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More