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High Quality Conservative Surface Mesh Generation for Swept Volumes

We introduce a novel and efficient technique to generate a high quality mesh that approximates the outer boundary of a swept volume (SV). Our approach comes with two guarantees. First, the approximation is conservative, i.e. the swept volume is enclosed by the output mesh. Second, the one-sided Hausdorff distance of the generated mesh to the swept volume is upper bounded by a user defined tolerance. Exploiting this tolerance our method produces an anisotropic mesh which nicely adapts to the local complexity of the approximated swept volume boundary. The algorithm is two phased: a initialization phase that generates a conservative voxelization of the swept volume, and the actual mesh generation which is based on CGAL’s Delaunay refinement Implementation.

This is a joint project with the Group for Algorithmic Geometry and Computer Graphics, at the University of Mainz.

Examples

Rotated Stanford Bunny
Engine Assembly

Links

  • Andreas von Dziegielewski, Michael Hemmer, and Elmar Schömer
    High quality conservative surface mesh generation for swept volumes
    Extended abstract [pdf]
    In proceedings of IEEE International Conference on Robotics and Automation (ICRA), pages 764–769, May 2012 [link][pdf][bibtex]
    In Proceedings of the 27th European Workshop on Computational Geometry (EuroCG), Morschach, Switzerland, pages 4, 2011, Zurich [link][pdf][bibtex]

Contacts

Andreas von Dziegielewski
Michael Hemmer
@inproceedings{dhs-hqcsm-11,
  author       = {Andreas von Dziegielewski and Michael Hemmer and Elmar Sch{\"o}mer},
  title        = {High quality conservative surface mesh generation for swept volumes},
  booktitle    = {Proceedings of the 27th European Workshop on Computational Geometry ({EuroCG})},
  pages        = {143--146},
  year         = {2011},
  site         = {Morschach, Switzerland}
}
@inproceedings{,
  author = {Andreas von Dziegielewski and Michael Hemmer and Elmar Sch{\"o}mer},
  booktitle = {Proceedings of {IEEE} International Conference on Robotics and Automation ({ICRA})}, 
  title = {High quality conservative surface mesh generation for swept volumes}, 
  year = {2012},
  pages = {764--769},
  doi = {10.1109/ICRA.2012.6224921}
}

Yair Oz - Webcreator

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