Delaunay refinement algorithms for triangular mesh generation
Tóm tắt
Từ khóa
Tài liệu tham khảo
Babuška, 1976, On the angle condition in the finite element method, SIAM J. Numer. Anal., 13, 214, 10.1137/0713021
Baker, 1988, Nonobtuse triangulation of polygons, Discrete Comput. Geom., 3, 147, 10.1007/BF02187904
de Berg, 1997
Bern, 1992, Mesh generation and optimal triangulation, 1, 23
Bern, 1994, Provably good mesh generation, J. Comput. System Sci., 48, 384, 10.1016/S0022-0000(05)80059-5
Carey, 1984
Chew, 1989
Chew, 1993, Guaranteed-quality mesh generation for curved surfaces, 274
Chew, 1997, Guaranteed-quality Delaunay meshing in 3D, 391
Clarkson, 1989, Applications of random sampling in computational geometry, II, Discrete Comput. Geom., 4, 387, 10.1007/BF02187740
Dey, 1992, On good triangulations in three dimensions, Internat. J. Comput. Geom. Appl., 2, 75, 10.1142/S0218195992000068
Devillers, 1999, On deletion in Delaunay triangulations, 181
Dwyer, 1987, A faster divide-and-conquer algorithm for constructing Delaunay triangulations, Algorithmica, 2, 137, 10.1007/BF01840356
Frey, 1987, Selective refinement: A new strategy for automatic node placement in graded triangular meshes, Internat. J. Numer. Methods Engrg., 24, 2183, 10.1002/nme.1620241111
Guibas, 1985, Primitives for the manipulation of general subdivisions and the computation of Voronoi diagrams, ACM Trans. Graphics, 4, 74, 10.1145/282918.282923
Jones, 1997, Adaptive refinement of unstructured finite-element meshes, Finite Elements in Analysis and Design, 25, 41, 10.1016/S0168-874X(96)00039-X
Lawson, 1977, Software for C1 surface interpolation, 161
Lee, 1986, Generalized Delaunay triangulations for planar graphs, Discrete Comput. Geom., 1, 201, 10.1007/BF02187695
Lee, 1980, Two algorithms for constructing a Delaunay triangulation, Internat. J. Comput. Inform. Sci., 9, 219, 10.1007/BF00977785
Miller, 1997, Optimal good-aspect-ratio coarsening for unstructured meshes, 538
Miller, 1995, A Delaunay based numerical method for three dimensions: Generation, formulation, and partition, 683
Mitchell, 1994, Cardinality bounds for triangulations with bounded minimum angle, 326
Ruppert, 1992
Ruppert, 1993, A new and simple algorithm for quality 2-dimensional mesh generation, 83
Ruppert, 1995, A Delaunay refinement algorithm for quality 2-dimensional mesh generation, J. Algorithms, 18, 548, 10.1006/jagm.1995.1021
Seidel, 1992
Shewchuk, 1996, Triangle: Engineering a 2D quality mesh generator and Delaunay triangulator, 1148, 203
Shewchuk, 1998, Tetrahedral mesh generation by Delaunay refinement, 86
Shewchuk, 2000, Mesh generation for domains with small angles, 1