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CubeCover - Parameterization of 3D Volumes

Zitieren Sie bitte immer diese URN:urn:nbn:de:0296-matheon-8312
  • Despite the success of quad-based 2D surface parameterization methods, effective parameterization algorithms for 3D volumes with cubes, i.e. hexahedral elements, are still missing. CubeCover is a first approach which provides both, a consistent theoretical framework for volume parameterization plus a full pipeline for generating a hexahedral tessellation of a given volume with boundary aligned cubes which are guided by a frame field. The input of CubeCover is a tetrahedral volume mesh. First, a frame field is designed with manual input from the designer. It guides the interior and boundary layout of the parameterization. Then, the parameterization and the hexahedral mesh are computed so as to align with the given frame field. CubeCover has similarities to the QuadCover algorithm and extends it from 2D surfaces to 3D volumes. The paper also provides theoretical results for 3D hexahedral parameterizations and analyses topological properties of the appropriate function space.

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Metadaten
Verfasserangaben:Matthias Nieser, Ulrich Reitebuch, Konrad Polthier
URN:urn:nbn:de:0296-matheon-8312
Gutachter*in:Ralf Kornhuber
Dokumentart:Preprint, Forschungszentrum Matheon
Sprache:Englisch
Datum der Erstveröffentlichung:21.05.2011
Datum der Freischaltung:21.05.2011
Freies Schlagwort / Tag:
Institut:Freie Universität Berlin
MSC-Klassifikation:52-XX CONVEX AND DISCRETE GEOMETRY / 52Cxx Discrete geometry / 52C17 Packing and covering in n dimensions [See also 05B40, 11H31]
Preprint-Nummer:791
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