-
1
-
-
0001823036
-
Theorems on the simple finite polygon and polyhedron
-
Lennes NJ. Theorems on the simple finite polygon and polyhedron. American Journal of Mathematics 1911; 33(1/4):37-62.
-
(1911)
American Journal of Mathematics
, vol.33
, Issue.1-4
, pp. 37-62
-
-
Lennes, N.J.1
-
2
-
-
34250958061
-
Über die zerlegung von dreieckspolyedern in tetraeder
-
Schönhardt E. Über die zerlegung von dreieckspolyedern in tetraeder. Mathematische Annalen 1928; 98:309-312.
-
(1928)
Mathematische Annalen
, vol.98
, pp. 309-312
-
-
Schönhardt, E.1
-
3
-
-
0345655516
-
On the difficulty of triangulating three-dimensional non-convex polyhedra
-
Ruppert J, Seidel R. On the difficulty of triangulating three-dimensional non-convex polyhedra. Discrete and Computational Geometry 1992; 7:227-253.
-
(1992)
Discrete and Computational Geometry
, vol.7
, pp. 227-253
-
-
Ruppert, J.1
Seidel, R.2
-
4
-
-
0021475092
-
Convex partition of a polyhedra: a lower bound and worse-case optimal algorithm
-
Chazelle B. Convex partition of a polyhedra: a lower bound and worse-case optimal algorithm. SIAM Journal on Computing 1984; 13(3):488-507.
-
(1984)
SIAM Journal on Computing
, vol.13
, Issue.3
, pp. 488-507
-
-
Chazelle, B.1
-
6
-
-
0028447010
-
Efficient three-dimensional Delaunay triangulation with automatic point creation and imposed boundary constraints
-
Weatherill NP, Hassan O. Efficient three-dimensional Delaunay triangulation with automatic point creation and imposed boundary constraints. International Journal for Numerical Methods in Engineering 1994; 37:2005-2039.
-
(1994)
International Journal for Numerical Methods in Engineering
, vol.37
, pp. 2005-2039
-
-
Weatherill, N.P.1
Hassan, O.2
-
9
-
-
79951548297
-
-
Triangulating and CSG representation of polyhedra with arbitrary genus. Proceedings of 7th Annual ACM Symposium on Computational Geometry, North Conway, New Hampshire, U.S.A., 1991;.
-
Dey TK. Triangulating and CSG representation of polyhedra with arbitrary genus. Proceedings of 7th Annual ACM Symposium on Computational Geometry, North Conway, New Hampshire, U.S.A., 1991; 364-372.
-
-
-
Dey, T.K.1
-
11
-
-
0028377627
-
Tetrahedral mesh generation in polyhedral regions based on convex polyhedron decompositions
-
Joe B. Tetrahedral mesh generation in polyhedral regions based on convex polyhedron decompositions. International Journal for Numerical Methods in Engineering 1994; 37:693-713.
-
(1994)
International Journal for Numerical Methods in Engineering
, vol.37
, pp. 693-713
-
-
Joe, B.1
-
12
-
-
0040843488
-
Erased arrangements of lines and convex decompositions of polyhedra
-
Hershberger JE, Snoeyink J. Erased arrangements of lines and convex decompositions of polyhedra. Computational Geometry 1998; 9(3):129-143.
-
(1998)
Computational Geometry
, vol.9
, Issue.3
, pp. 129-143
-
-
Hershberger, J.E.1
Snoeyink, J.2
-
13
-
-
0003516674
-
Algorithms in Combinatorial Geometry
-
Springer: Heidelberg.
-
Edelsbrunner H. Algorithms in Combinatorial Geometry. Springer: Heidelberg, 1987.
-
(1987)
-
-
Edelsbrunner, H.1
-
14
-
-
0003772933
-
Computational Geometry: Algorithms and Applications
-
Springer: Heidelberg.
-
De Berg M, Van Kreveld M, Overmars M, Schwarzkopf O. Computational Geometry: Algorithms and Applications. Springer: Heidelberg, 1997.
-
(1997)
-
-
De Berg, M.1
Van Kreveld, M.2
Overmars, M.3
Schwarzkopf, O.4
-
15
-
-
79951528876
-
Proceedings of 7th International Meshing Roundtable
-
Sandia National Laboratories.
-
Pébay P, Frey PJ. A Priori Delaunay-conformity. Proceedings of 7th International Meshing Roundtable, Sandia National Laboratories, 1998; 321-333.
-
(1998)
A Priori Delaunay-conformity
, pp. 321-333
-
-
Pébay, P.1
Frey, P.J.2
-
16
-
-
0033895869
-
-
A point-placement strategy for conforming Delaunay tetrahedralizations. Proceedings of 11th Annual ACM-SIAM Symposium on Discrete Algorithms, Hong Kong, 2000;.
-
Murphy M, Mount DM, Gable CW. A point-placement strategy for conforming Delaunay tetrahedralizations. Proceedings of 11th Annual ACM-SIAM Symposium on Discrete Algorithms, Hong Kong, 2000; 67-74.
-
-
-
Murphy, M.1
Mount, D.M.2
Gable, C.W.3
-
17
-
-
0036362237
-
-
Conforming Delaunay triangulation in 3D. Proceedings of 18th Annual ACM Symposium on Computational Geometry, Barcelona, Spain, 2002.
-
Cohen-Steiner D, De Verdière EC, Yvinec M. Conforming Delaunay triangulation in 3D. Proceedings of 18th Annual ACM Symposium on Computational Geometry, Barcelona, Spain, 2002.
-
-
-
Cohen-Steiner, D.1
De Verdière, E.C.2
Yvinec, M.3
-
18
-
-
0000508273
-
Generalized Delaunay triangulations for planar graphs
-
Lee DT, Lin AK. Generalized Delaunay triangulations for planar graphs. Discrete and Computational Geometry 1986; 1:201-217.
-
(1986)
Discrete and Computational Geometry
, vol.1
, pp. 201-217
-
-
Lee, D.T.1
Lin, A.K.2
-
19
-
-
79951536571
-
-
Guaranteed-quality triangular meshes. Technical Report TR 89-983, Department of Computer Science, Cornell University.
-
Chew PL. Guaranteed-quality triangular meshes. Technical Report TR 89-983, Department of Computer Science, Cornell University, 1989.
-
(1989)
-
-
Chew, P.L.1
-
21
-
-
84878932047
-
-
Meshing piecewise linear complexes by constrained Delaunay tetrahedralizations. Proceedings of 14th International Meshing Roundtable, San Diego, CA, U.S.A., 2005;.
-
Si H, Gärtner K. Meshing piecewise linear complexes by constrained Delaunay tetrahedralizations. Proceedings of 14th International Meshing Roundtable, San Diego, CA, U.S.A., 2005; 147-163.
-
-
-
Si, H.1
Gärtner, K.2
-
22
-
-
0024685928
-
Automatic mesh generation for complex three-dimensional regions using a constrained Delaunay triangulation
-
Baker T. Automatic mesh generation for complex three-dimensional regions using a constrained Delaunay triangulation. Engineering with Computers 1989; 5:161-175.
-
(1989)
Engineering with Computers
, vol.5
, pp. 161-175
-
-
Baker, T.1
-
23
-
-
0027544178
-
Approximating constrained tetrahedralizations
-
Hazlewood C. Approximating constrained tetrahedralizations. Computer Aided Geometric Design 1993; 10:67-87.
-
(1993)
Computer Aided Geometric Design
, vol.10
, pp. 67-87
-
-
Hazlewood, C.1
-
24
-
-
50449084338
-
Adaptive tetrahedral mesh generation by constrained Delaunay refinement
-
Si H. Adaptive tetrahedral mesh generation by constrained Delaunay refinement. International Journal for Numerical Methods in Engineering 2008; 75(7):856-880.
-
(2008)
International Journal for Numerical Methods in Engineering
, vol.75
, Issue.7
, pp. 856-880
-
-
Si, H.1
-
25
-
-
0031623775
-
-
Tetrahedral mesh generation by Delaunay refinement. Proceedings of 14th Annual Symposium on Computational Geometry, Minneapolis, MN, U.S.A., 1998;.
-
Shewchuk JR. Tetrahedral mesh generation by Delaunay refinement. Proceedings of 14th Annual Symposium on Computational Geometry, Minneapolis, MN, U.S.A., 1998; 86-95.
-
-
-
Shewchuk, J.R.1
-
26
-
-
79951527903
-
-
Three dimensional boundary conforming Delaunay mesh generation. Ph.D. Thesis, Institute of Mathematics, Technische Universität Berlin, Available from.
-
Si H. Three dimensional boundary conforming Delaunay mesh generation. Ph.D. Thesis, Institute of Mathematics, Technische Universität Berlin, 2008. Available from.
-
(2008)
-
-
Si, H.1
-
27
-
-
0038038276
-
-
Updating and constructing constrained Delaunay and constrained regular triangulations by flips. Proceedings of 19th Annual Symposium on Computational Geometry, San Diego, CA, U.S.A., 2003;.
-
Shewchuk JR. Updating and constructing constrained Delaunay and constrained regular triangulations by flips. Proceedings of 19th Annual Symposium on Computational Geometry, San Diego, CA, U.S.A., 2003; 181-190.
-
-
-
Shewchuk, J.R.1
-
28
-
-
0031622924
-
-
A condition guaranteeing the existence of higher-dimensional constrained Delaunay triangulations. Proceedings of 14th Annual Symposium on Computational Geometry, Minneapolis, MN, U.S.A., 1998;.
-
Shewchuk JR. A condition guaranteeing the existence of higher-dimensional constrained Delaunay triangulations. Proceedings of 14th Annual Symposium on Computational Geometry, Minneapolis, MN, U.S.A., 1998; 76-85.
-
-
-
Shewchuk, J.R.1
-
29
-
-
0004092116
-
Geometry and Topology for Mesh Generation
-
Cambridge University Press: England.
-
Edelsbrunner H. Geometry and Topology for Mesh Generation. Cambridge University Press: England, 2001.
-
(2001)
-
-
Edelsbrunner, H.1
-
30
-
-
79951526938
-
Proceedings of 5th International Meshing Roundtable
-
Sandia National Laboratories.
-
Miller GL, Talmor D, Teng SH, Walkington NJ, Wang H. Control volume meshes using sphere packing: Generation, refinement and coarsening. Proceedings of 5th International Meshing Roundtable, Sandia National Laboratories, 1996.
-
(1996)
Control volume meshes using sphere packing: Generation, refinement and coarsening
-
-
Miller, G.L.1
Talmor, D.2
Teng, S.H.3
Walkington, N.J.4
Wang, H.5
-
31
-
-
25444533561
-
Measuring mesh qualities and application to variational mesh adaptation
-
Huang W. Measuring mesh qualities and application to variational mesh adaptation. SIAM Journal on Scientific Computing 2005; 26(5):1643-1666.
-
(2005)
SIAM Journal on Scientific Computing
, vol.26
, Issue.5
, pp. 1643-1666
-
-
Huang, W.1
-
35
-
-
0019563894
-
Computing Dirichlet tessellations
-
Bowyer A. Computing Dirichlet tessellations. Computer Journal 1987; 24(2):162-166.
-
(1987)
Computer Journal
, vol.24
, Issue.2
, pp. 162-166
-
-
Bowyer, A.1
-
36
-
-
0019563697
-
Computing the n-dimensional Delaunay tessellations with application to Voronoi polytopes
-
Watson DF. Computing the n-dimensional Delaunay tessellations with application to Voronoi polytopes. Computer Journal 1987; 24(2):167-172.
-
(1987)
Computer Journal
, vol.24
, Issue.2
, pp. 167-172
-
-
Watson, D.F.1
-
37
-
-
0000670028
-
Incremental topological flipping works for regular triangulations
-
Edelsbrunner H, Shah NR. Incremental topological flipping works for regular triangulations. Algorithmica 1996; 15:223-241.
-
(1996)
Algorithmica
, vol.15
, pp. 223-241
-
-
Edelsbrunner, H.1
Shah, N.R.2
-
38
-
-
0031522632
-
Primal dividing and dual pruning: output-sensitive construction of four-dimensional polytopes and three-dimensional Voronoi diagrams
-
Chan TM, Snoeyink J. Primal dividing and dual pruning: output-sensitive construction of four-dimensional polytopes and three-dimensional Voronoi diagrams. Discrete and Computational Geometry 1997; 18(4):433-454.
-
(1997)
Discrete and Computational Geometry
, vol.18
, Issue.4
, pp. 433-454
-
-
Chan, T.M.1
Snoeyink, J.2
-
39
-
-
0027610241
-
An upper bound for conforming Delaunay triangulations
-
Edelsbrunner H, Tan TS. An upper bound for conforming Delaunay triangulations. SIAM Journal on Computing 1993; 22:527-551.
-
(1993)
SIAM Journal on Computing
, vol.22
, pp. 527-551
-
-
Edelsbrunner, H.1
Tan, T.S.2
-
40
-
-
0038534791
-
Constrained Delaunay triangulation
-
Chew PL. Constrained Delaunay triangulation. Algorithmica 1989; 4:97-108.
-
(1989)
Algorithmica
, vol.4
, pp. 97-108
-
-
Chew, P.L.1
-
41
-
-
40449098629
-
General-dimensional constrained Delaunay and constrained regular triangulations I: combinatorial properties
-
Shewchuk JR. General-dimensional constrained Delaunay and constrained regular triangulations I: combinatorial properties. Discrete and Computational Geometry 2008; 39:580-637.
-
(2008)
Discrete and Computational Geometry
, vol.39
, pp. 580-637
-
-
Shewchuk, J.R.1
-
42
-
-
0001392967
-
An acyclicity theorem for cell complex in d dimension
-
Edelsbrunner H. An acyclicity theorem for cell complex in d dimension. Combinatorica 1990; 10(3):251-260.
-
(1990)
Combinatorica
, vol.10
, Issue.3
, pp. 251-260
-
-
Edelsbrunner, H.1
-
43
-
-
0025214884
-
Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithm
-
Edelsbrunner H, Mücke M. Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithm. ACM Transactions on Graphics 1990; 9(1):66-104.
-
(1990)
ACM Transactions on Graphics
, vol.9
, Issue.1
, pp. 66-104
-
-
Edelsbrunner, H.1
Mücke, M.2
-
44
-
-
79951528371
-
-
Perturbations and vertex removal in Delaunay and regular 3D triangulations. Technical Report 5968, INRIA.
-
Devillers O, Teillaud M. Perturbations and vertex removal in Delaunay and regular 3D triangulations. Technical Report 5968, INRIA 2006.
-
(2006)
-
-
Devillers, O.1
Teillaud, M.2
-
45
-
-
33750726614
-
A Delaunay refinement algorithm for quality 2-dimensional mesh generation
-
Ruppert J. A Delaunay refinement algorithm for quality 2-dimensional mesh generation. Journal of Algorithms 1995; 18(3):548-585.
-
(1995)
Journal of Algorithms
, vol.18
, Issue.3
, pp. 548-585
-
-
Ruppert, J.1
-
49
-
-
84878182980
-
Proceedings of 16th International Meshing Roundtable
-
Sandia National Laboratories.
-
Klingner BM, Shewchuk JR. Aggressive Tetrahedral Mesh Improvement. Proceedings of 16th International Meshing Roundtable, Sandia National Laboratories, 2007; 3-23.
-
(2007)
Aggressive Tetrahedral Mesh Improvement
, pp. 3-23
-
-
Klingner, B.M.1
Shewchuk, J.R.2
-
50
-
-
79951525188
-
-
TetGen. Available from.
-
Si H. TetGen. Available from:, 2007.
-
(2007)
-
-
Si, H.1
-
51
-
-
79951518824
-
-
INRIA. GAMMA, automatic mesh generation and adaption methods. Available from.
-
INRIA. GAMMA, automatic mesh generation and adaption methods. Available from:, 2007.
-
(2007)
-
-
-
52
-
-
24944582018
-
Provably good surface sampling and meshing of surfaces
-
Boissonnat JD, Oudout S. Provably good surface sampling and meshing of surfaces. Graphical Models 2005; 67:405-451.
-
(2005)
Graphical Models
, vol.67
, pp. 405-451
-
-
Boissonnat, J.D.1
Oudout, S.2
-
53
-
-
84969141639
-
-
Delaunay refinement for piecewise smooth complexes. Proceedings of 18th Annual ACM-SIAM Symposium on Discrete Algorithms, Barcelona, Spain, 2007;.
-
Cheng SW, Dey TK, Ramos EA. Delaunay refinement for piecewise smooth complexes. Proceedings of 18th Annual ACM-SIAM Symposium on Discrete Algorithms, Barcelona, Spain, 2007; 1096-1105.
-
-
-
Cheng, S.W.1
Dey, T.K.2
Ramos, E.A.3
-
55
-
-
79951538801
-
-
180 wrapped tubes. Available from.
-
Edelsbrunner H. 180 wrapped tubes. Available from.
-
-
-
Edelsbrunner, H.1
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