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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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https://hal.archives-ouvertes.fr/hal-03180193
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Submitted on : Wednesday, March 24, 2021 - 6:25:22 PM
Last modification on : Friday, July 9, 2021 - 4:38:19 PM

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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, Elsevier, 2021, 85, pp.101981. ⟨10.1016/j.cagd.2021.101981⟩. ⟨hal-03180193⟩

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