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Polyhedral modeling

Georges-Pierre Bonneau 1 Stefanie Hahmann 1
1 EVASION - Virtual environments for animation and image synthesis of natural objects
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology
Abstract : Polyhedral meshes are used for visualization, computer graphics or geometric modeling purposes and result from many applications like iso-surface extraction, surface reconstruction or CAD/CAM. The present paper introduces a method for constructing smooth surfaces from a triangulated polyhedral mesh of arbitrary topology. It presents a new algorithm which generalizes and improves the triangle 4-split method [7] in the crucial point of boundary curve network construction. This network is then filled-in by a visual smooth surface from which an explicit closed form parametrization is given. Furthermore, the method becomes now completely local and can interpolate normal vector input at the mesh vertices.
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https://hal.inria.fr/hal-01708560
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Submitted on : Wednesday, February 14, 2018 - 10:44:57 AM
Last modification on : Saturday, November 27, 2021 - 3:41:19 AM
Long-term archiving on: : Monday, May 7, 2018 - 3:06:50 PM

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Georges-Pierre Bonneau, Stefanie Hahmann. Polyhedral modeling. VIS 2000 - 11th Annual IEEE Visualization Conference, Oct 2011, Salt Lake City, United States. pp.1-7, ⟨10.1109/VISUAL.2000.885719⟩. ⟨hal-01708560⟩

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