Delaunay refinement algorithms for triangular mesh generation
نویسندگان
چکیده
منابع مشابه
Delaunay refinement algorithms for triangular mesh generation
Delaunay refinement is a technique for generating unstructured meshes of triangles for use in interpolation, the finite element method, and the finite volume method. In theory and practice, meshes produced by Delaunay refinement satisfy guaranteed bounds on angles, edge lengths, the number of triangles, and the grading of triangles from small to large sizes. This article presents an intuitive f...
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Delaunay refinement is a technique for generating unstructured meshes of triangles or tetrahedra suitable for use in the finite element method or other numerical methods for solving partial differential equations. Popularized by the engineering community in the mid-1980s, Delaunay refinement operates by maintaining a Delaunay triangulation or Delaunay tetrahedralization, which is refined by the...
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An extension of Shewchuk’s Delaunay Refinement algorithm to planar domains bounded by curves is presented. A novel method is applied to construct constrained Delaunay triangulations from such geometries. The quality of these triangulations is then improved by inserting vertices at carefully chosen locations. Amendments to Shewchuk’s insertion rules are necessary to handle cases resulting from t...
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The classical meshing problem is to construct a triangulation of a region that conforms to the boundary, is as coarse as possible, and is constructed from simplices having bounded aspect ratio. In this paper we present a fully incremental Delaunay re nement algorithm. The algorithm is an extension of one introduced by Ruppert. The algorithm is fully incremental in the sense that it does not nee...
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Surface mesh generation through Delaunay refinement is considered as a relevant alternative to the common marching cubes algorithm. One distinctive feature lies into the fact that it interleaves shape probing (through intersection with Voronoi edges) with refinement. The current implementations require seeding the refinement procedure for each connected component so as to guarantee that all com...
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ژورنال
عنوان ژورنال: Computational Geometry
سال: 2002
ISSN: 0925-7721
DOI: 10.1016/s0925-7721(01)00047-5