Polyhedral modeling

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
Contributor : Georges-Pierre Bonneau <>
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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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