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Delaunay Meshing and Repairing of NURBS Models

Xiao Xiao 1 Pierre Alliez 1, 2 Laurent Busé 3, 2 Laurent Rineau 4 
1 TITANE - Geometric Modeling of 3D Environments
CRISAM - Inria Sophia Antipolis - Méditerranée
3 AROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes
CRISAM - Inria Sophia Antipolis - Méditerranée , NKUA - National and Kapodistrian University of Athens
Abstract : CAD models represented by NURBS surface patches are often hampered with defects due to inaccurate representations of trimming curves. Such defects make these models unsuitable to the direct generation of valid volume meshes, and often require trial-and-error processes to fix them. We propose a fully automated Delaunay-based meshing approach which can mesh and repair simultaneously, while being independent of the input NURBS patch layout. Our approach proceeds by Delaunay filtering and refinement, in which trimmed areas are repaired through implicit surfaces. Beyond repair, we demonstrate its capability to smooth out sharp features, defeature small details, and mesh multiple domains in contact.
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https://hal.inria.fr/hal-03276860
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Submitted on : Friday, July 2, 2021 - 2:40:44 PM
Last modification on : Saturday, June 25, 2022 - 11:50:59 PM
Long-term archiving on: : Sunday, October 3, 2021 - 7:52:33 PM

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Xiao Xiao, Pierre Alliez, Laurent Busé, Laurent Rineau. Delaunay Meshing and Repairing of NURBS Models. Computer Graphics Forum, Wiley, 2021, Proceedings of the EUROGRAPHICS Symposium on Geometry Processing 2021, 40 (5), pp.125-142. ⟨10.1111/cgf.14362⟩. ⟨hal-03276860⟩

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