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Meshing Volumes Bounded by Smooth Surfaces

Abstract : This paper introduces a three-dimensional mesh generation algorithm for domains bounded by smooth surfaces. The algorithm combines a Delaunay-based surface mesher with a Ruppert-like volume mesher, to get a greedy algorithm that samples the interior and the boundary of the domain at once. The algorithm constructs provably-good meshes, it gives control on the size of the mesh elements through a user-defined sizing field, and it guarantees the accuracy of the approximation of the domain boundary. A noticeable feature is that the domain boundary has to be known only through an oracle that can tell whether a given point lies inside the object and whether a given line segment intersects the boundary. This makes the algorithm generic enough to be applied to a wide variety of objects, ranging from domains defined by implicit surfaces to domains defined by level-sets in 3D grey-scaled images or by point-set surfaces.
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Contributor : Mariette Yvinec Connect in order to contact the contributor
Submitted on : Friday, September 22, 2006 - 3:06:21 PM
Last modification on : Thursday, March 17, 2022 - 10:08:26 AM
Long-term archiving on: : Monday, April 5, 2010 - 11:26:52 PM


  • HAL Id : inria-00097841, version 1



Steve Oudot, Laurent Rineau, Mariette Yvinec. Meshing Volumes Bounded by Smooth Surfaces. International Meshing Roundtable, 2005, San Diego, Californie, USA. ⟨inria-00097841⟩



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