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Journal Articles Computer Aided Geometric Design Year : 2021

Tubular parametric volume objects: Thickening a piecewise smooth 3D stick figure

Abstract

In this paper, a volume parametric model is computed from a piecewise smooth skeleton. Generating a volume model from a stick figure S defined in 3D is an intuitive process: given S whose topology is a pseudo-graph and whose edges are embedded as Bézier curves in R3 , we propose a method for creating a thick volume parametric model “around” S. The volume model we generate is based on semi-simploidal sets, which guarantees a proper topology and provides a 3D parametric domain for Bézier spaces. This volume is a continuous piecewise Bézier representation which boundary corresponds to a B-Rep made of tensor product Bézier patches.
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Dates and versions

hal-03180193 , version 1 (24-04-2023)

Licence

Attribution - NonCommercial

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Samuel Peltier, Géraldine Morin, Damien Aholou. Tubular parametric volume objects: Thickening a piecewise smooth 3D stick figure. Computer Aided Geometric Design, 2021, 85, pp.101981. ⟨10.1016/j.cagd.2021.101981⟩. ⟨hal-03180193⟩
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