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Conference papers

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.
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Contributor : Brigitte Bidegaray-Fesquet <>
Submitted on : Wednesday, September 12, 2007 - 3:24:22 PM
Last modification on : Thursday, November 19, 2020 - 1:01:00 PM

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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⟩



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