Skip to Main content Skip to Navigation
Journal articles

Meshing Volumes with Curved Boundaries

Steve Oudot 1, * Laurent Rineau 2 Mariette Yvinec 1
* Corresponding author
1 GEOMETRICA - Geometric computing
CRISAM - Inria Sophia Antipolis - Méditerranée , Inria Saclay - Ile de France
Abstract : This paper introduces a three-dimensional mesh generation al- gorithm for domains whose boundaries are curved surfaces, possibly with sharp features. The algorithm combines a Delaunay-based surface mesher with a Ruppert-like volume mesher, resulting in a greedy scheme to sample the interior and the boundary of the domain simultaneously. 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 notable 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 seg- ment intersects the boundary. This makes the algorithm generic enough to be applied to domains with a wide variety of boundary types, such as im- plicit surfaces, polyhedra, level-sets in 3D gray-scaled images, or point-set surfaces.
Document type :
Journal articles
Complete list of metadata

Cited literature [31 references]  Display  Hide  Download
Contributor : Mariette Yvinec Connect in order to contact the contributor
Submitted on : Friday, November 8, 2013 - 9:32:10 AM
Last modification on : Saturday, January 27, 2018 - 1:30:41 AM
Long-term archiving on: : Monday, February 10, 2014 - 11:17:10 AM


Files produced by the author(s)


  • HAL Id : hal-00880334, version 1



Steve Oudot, Laurent Rineau, Mariette Yvinec. Meshing Volumes with Curved Boundaries. Engineering with Computers, Springer Verlag, 2010, pp.265-279. ⟨hal-00880334⟩



Record views


Files downloads