Recent progress in robust and quality Delaunay mesh generation

[1]  J. MacQueen.  Some methods for classification and analysis of multivariate observations , 1967 .

[2]  H. L. Le Roy,et al.  Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability; Vol. IV , 1969 .

[3]  J. A. George.  Computer implementation of the finite element method , 1971 .

[4]  Allen Gersho,et al.  Asymptotically optimal block quantization , 1979, IEEE Trans. Inf. Theory.

[5]  Adrian Bowyer,et al.  Computing Dirichlet Tessellations , 1981, Comput. J..

[6]  D. F. Watson.  Computing the n-Dimensional Delaunay Tesselation with Application to Voronoi Polytopes , 1981, Comput. J..

[7]  F. Hermeline,et al.  Triangulation automatique d'un polyèdre en dimension $N$ , 1982 .

[8]  Donald J. Newman,et al.  The hexagon theorem , 1982, IEEE Trans. Inf. Theory.

[9]  S. P. Lloyd,et al.  Least squares quantization in PCM , 1982, IEEE Trans. Inf. Theory.

[10]  N. Sloane,et al.  The Optimal Lattice Quantizer in Three Dimensions , 1983 .

[11]  Mark S. Shephard,et al.  Automatic three-dimensional mesh generation by the finite octree technique , 1984 .

[12]  Mark S. Shephard,et al.  Automatic three‐dimensional mesh generation by the finite octree technique , 1984 .

[13]  K. R. Grice,et al.  Robust, geometrically based, automatic two‐dimensional mesh generation , 1987 .

[14]  Paresh Parikh,et al.  Generation of three-dimensional unstructured grids by the advancing-front method , 1988 .

[15]  O. Zienkiewicz,et al.  Finite element Euler computations in three dimensions , 1988 .

[16]  N. Weatherill.  The integrity of geometrical boundaries in the two‐dimensional delaunay triangulation , 1990 .

[17]  M. Shephard,et al.  A combined octree/delaunay method for fully automatic 3‐D mesh generation , 1990 .

[18]  S. Lo.  Volume discretization into tetrahedra—II. 3D triangulation by advancing front approach , 1991 .

[19]  P. George,et al.  Automatic mesh generator with specified boundary , 1991 .

[20]  E. F. D'Azevedo,et al.  On optimal triangular meshes for minimizing the gradient error , 1991 .

[21]  S. Lo.  Volume discretization into tetrahedra-I. Verification and orientation of boundary surfaces , 1991 .

[22]  S. Rippa.  Long and thin triangles can be good for linear interpolation , 1992 .

[23]  Tony DeRose,et al.  Mesh optimization , 1993, SIGGRAPH.

[24]  L. Paul Chew,et al.  Guaranteed-quality mesh generation for curved surfaces , 1993, SCG '93.

[25]  N. Weatherill,et al.  Efficient three‐dimensional Delaunay triangulation with automatic point creation and imposed boundary constraints , 1994 .

[26]  W. Gibbs,et al.  Finite element methods , 2017, Graduate Studies in Mathematics.

[27]  A. Jack,et al.  Aspects of three‐dimensional constrained Delaunay meshing , 1994 .

[28]  Kazuhiro Nakahashi,et al.  Direct surface triangulation using the advancing front method , 1995 .

[29]  H. Borouchaki,et al.  Fast Delaunay triangulation in three dimensions , 1995 .

[30]  N. Weatherill,et al.  Unstructured grid generation using iterative point insertion and local reconnection , 1995 .

[31]  P. George,et al.  OPTIMAL DELAUNAY POINT INSERTION , 1996 .

[32]  Gustavo C. Buscaglia,et al.  Anisotropic mesh optimization and its application in adaptivity , 1997 .

[33]  D. Mavriplis.  Directional coarsening and smoothing for anisotropic Navier-Stokes problems. , 1997 .

[34]  P. George,et al.  Delaunay mesh generation governed by metric specifications. Part II. applications , 1997 .

[35]  Paul-Louis George,et al.  ASPECTS OF 2-D DELAUNAY MESH GENERATION , 1997 .

[36]  David Eppstein,et al.  Optimal point placement for mesh smoothing , 1997, SODA '97.

[37]  R. K. Smith,et al.  Mesh Smoothing Using A Posteriori Error Estimates , 1997 .

[38]  P. George,et al.  3D Delaunay mesh generation coupled with an advancing-front approach , 1998 .

[39]  H. Borouchaki,et al.  Geometric surface mesh optimization , 1998 .

[40]  Pascal J. Frey,et al.  Fast Adaptive Quadtree Mesh Generation , 1998, IMR.

[41]  Martin Berzins.  A Solution-Based Triangular and Tetrahedral Mesh Quality Indicator , 1998, SIAM J. Sci. Comput..

[42]  Paul-Louis George,et al.  Delaunay triangulation and meshing : application to finite elements , 1998 .

[43]  Jonathan Richard Shewchuk,et al.  Tetrahedral mesh generation by Delaunay refinement , 1998, SCG '98.

[44]  A. Rassineux,et al.  GENERATION AND OPTIMIZATION OF TETRAHEDRAL MESHES BY ADVANCING FRONT TECHNIQUE , 1998 .

[45]  Bharat K. Soni,et al.  Handbook of Grid Generation , 1998 .

[46]  Qiang Du,et al.  Centroidal Voronoi Tessellations: Applications and Algorithms , 1999, SIAM Rev..

[47]  Chi King Lee.  Automatic metric advancing front triangulation over curved surfaces , 2000 .

[48]  Rainald Löhner,et al.  Generation of non‐isotropic unstructured grids via directional enrichment , 2000 .

[49]  David Letscher,et al.  Delaunay triangulations and Voronoi diagrams for Riemannian manifolds , 2000, SCG '00.

[50]  P. George,et al.  Parametric surface meshing using a combined advancing-front generalized Delaunay approach , 2000 .

[51]  Mark S. Shephard,et al.  Triangulation of arbitrary polyhedra to support automatic mesh generators , 2000 .

[52]  Anwei Liu,et al.  How far flipping can go towards 3D conforming/constrained triangulation , 2000, IMR.

[53]  P. Knupp.  Achieving finite element mesh quality via optimization of the jacobian matrix norm and associated qu , 2000 .

[54]  Shang-Hua Teng,et al.  Sliver-free three dimensional delaunay mesh generation , 2001 .

[55]  Herbert Edelsbrunner,et al.  Sink-insertion for mesh improvement , 2001, SCG '01.

[56]  Desheng Wang,et al.  Tetrahedral mesh generation and optimization based on centroidal Voronoi tessellations , 2003 .

[57]  Jonathan Richard Shewchuk,et al.  Constrained Delaunay Tetrahedralizations and Provably Good Boundary Recovery , 2002, IMR.

[58]  M. Gunzburger,et al.  Meshfree, probabilistic determination of point sets and support regions for meshless computing , 2002 .

[59]  J. Shewchuk.  What Is a Good Linear Finite Element? Interpolation, Conditioning, Anisotropy, and Quality Measures , 2002 .

[60]  Qiang Du,et al.  Grid generation and optimization based on centroidal Voronoi tessellations , 2002, Appl. Math. Comput..

[61]  Qiang Du,et al.  Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations , 2002, Parallel Comput..

[62]  Jonathan Richard Shewchuk,et al.  Anisotropic voronoi diagrams and guaranteed-quality anisotropic mesh generation , 2003, SCG '03.

[63]  P. George,et al.  ‘Ultimate’ robustness in meshing an arbitrary polyhedron , 2003 .

[64]  François Guibault,et al.  Constructing Anisotropic Geometric Metrics using Octrees and Skeletons , 2003, IMR.

[65]  Nancy Hitschfeld,et al.  Improving the quality of meshes for the simulation of semiconductor devices using Lepp‐based algorithms , 2003 .

[66]  Qiang Du,et al.  Constrained Centroidal Voronoi Tessellations for Surfaces , 2002, SIAM J. Sci. Comput..

[67]  Qiang Du,et al.  Constrained boundary recovery for three dimensional Delaunay triangulations , 2004 .

[68]  Qiang Du,et al.  MESH OPTIMIZATION BASED ON THE CENTROIDAL VORONOI TESSELLATION , 2006 .

[69]  Q. Du,et al.  Boundary recovery for three dimensional conforming Delaunay triangulation , 2004 .

[70]  Qiang Du,et al.  Centroidal Voronoi tessellation based algorithms for vector fields visualization and segmentation , 2004, IEEE Visualization 2004.

[71]  ANISOTROPIC CENTROIDAL VORONOI TESSELLATIONS AND THEIR APPLICATIONS∗ , 2004 .

[72]  Q. Du,et al.  The optimal centroidal Voronoi tessellations and the gersho's conjecture in the three-dimensional space , 2005 .

[73]  R. Löhner,et al.  Progress in grid generation via the advancing front technique , 2005, Engineering with Computers.

[74]  Yongjie Zhang,et al.  3D Finite Element Meshing from Imaging Data. , 2005, Computer methods in applied mechanics and engineering.

[75]  Qiang Du,et al.  Finite Volume Methods on Spheres and Spherical Centroidal Voronoi Meshes , 2005, SIAM J. Numer. Anal..

[76]  Qiang Du,et al.  Mesh and solver co‐adaptation in finite element methods for anisotropic problems , 2005 .

[77]  Q. Du,et al.  Uniform Convergence of a Multilevel Energy-based Quantization Scheme , 2005 .

[78]  Qiang Du,et al.  Acceleration schemes for computing centroidal Voronoi tessellations , 2006, Numer. Linear Algebra Appl..

[79]  Qiang Du,et al.  Convergence of the Lloyd Algorithm for Computing Centroidal Voronoi Tessellations , 2006, SIAM J. Numer. Anal..

[80]  Qiang Du,et al.  Uniform Convergence of a Nonlinear Energy-Based Multilevel Quantization Scheme , 2008, SIAM J. Numer. Anal..