Shape Smoothing using Double Offsets

Frédéric Chazal 1 David Cohen-Steiner 1 André Lieutier 2 Boris Thibert 2
1 GEOMETRICA - Geometric computing
CRISAM - Inria Sophia Antipolis - Méditerranée , Inria Saclay - Ile de France
Abstract : 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.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-00171507
Contributor : Brigitte Bidegaray-Fesquet <>
Submitted on : Wednesday, September 12, 2007 - 3:24:22 PM
Last modification on : Friday, February 8, 2019 - 4:30:12 PM

Links full text

Identifiers

Collections

Citation

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⟩

Share

Metrics

Record views

451