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Meshes composed of well-centered simplices have nice orthogonal dual meshes (the dual Voronoi diagram).
An irregular triangle mesh generator
Winslow, A. M · 1964
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Locally equiangular triangulations
Sibson, R · 1978
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The circumradius-inradius inequality for a simplex
Klamkin, M. S., and Tsintsifas, G. A · 1979
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Manifolds, Tensor Analysis, and Applications
Abraham, R., Marsden, J. E., and Ratiu, T · 1988
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Laplacian smoothing and Delaunay triangulations
Field, D. A · 1988
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An O ( n 2 log n ) {O}(n^{2}\log n) time algorithm for the minmax angle triangulation
Edelsbrunner, H., Tan, T., and Waupotitsch, R · 1992
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Coping with inconsistencies: A new approach to produce quality triangulations of polygonal domains with holes
Melissaratos, E. A., and Souvaine, D. L · 1992
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Direct discretization of planar div-curl problems
Nicolaides, R. A · 1992
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Linear-size nonobtuse triangulation of polygons
Bern, M., Mitchell, S., and Ruppert, J · 1994
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Provably good mesh generation
Bern, M. W., Eppstein, D., and Gilbert, J · 1994
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Optimality of the Delaunay triangulation in ℝ d \mathbb{R}^{d}
Rajan, V · 1994
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Mesh generation and optimal triangulation
Bern, M. W., and Eppstein, D · 1995
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A Delaunay refinement algorithm for quality 2-dimensional mesh generation
Ruppert, J · 1995
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Incremental topological flipping works for regular triangulations
Edelsbrunner, H., and Shah, N. R · 1996
Earlier work this paper cites.
Triangle: Engineering a 2D quality mesh generator and Delaunay triangulator
Shewchuk, J. R · 1996
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Centroidal Voronoi tessellations: applications and algorithms
Du, Q., Faber, V., and Gunzburger, M · 1999
Cited alongside, same era.
Geometry and Topology for Mesh Generation
Edelsbrunner, H · 2001
Cited alongside, same era.
Building spacetime meshes over arbitrary spatial domains
Erickson, J., Guoy, D., Sullivan, J., and Üngör, A · 2002
Cited alongside, same era.
Acute triangulations of polygons
Maehara, H · 2002
Cited alongside, same era.
Pitching tents in space-time: Mesh generation for discontinuous Galerkin method
Üngör, A., and Sheffer, A · 2002
Cited alongside, same era.
The mesquite mesh quality improvement toolkit
Brewer, M., Diachin, L., Knupp, P., Leurent, T., and Melander, D · 2003
Cited alongside, same era.
Convergence of the Lloyd algorithm for computing centroidal Voronoi tessellations
Du, Q., Emelianenko, M., and Ju, L · 2006
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Smooth Delaunay–Voronoi dual meshes for co-volume integration schemes
Sazonov, I., Hassan, O., Morgan, K., and Weatherill, N. P · 2006
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Yee’s scheme for the integration of Maxwell’s equation on unstructured meshes
Sazonov, I., Hassan, O., Morgan, K., and Weatherill, N. P · 2006
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A stitching method for the generation of unstructured meshes for use with co-volume solution techniques
Sazonov, I., Wang, D., Hassan, O., Morgan, K., and Weatherill, N. P · 2006
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Computing acute and non-obtuse triangulations
Erten, H., and Üngör, A · 2007
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Mesh shape-quality optimization using the inverse mean-ratio metric
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A circle packing algorithm
Collins, C. R., and Stephenson, K · 2003
Cited alongside, same era.
Constrained centroidal Voronoi tessellations for surfaces
Du, Q., Gunzburger, M. D., and Ju, L · 2003
Cited alongside, same era.
Discrete Exterior Calculus
Hirani, A. N · 2003
Cited alongside, same era.
Variational principles for circle patterns and Koebe’s theorem
Bobenko, A. I., and Springborn, B. A · 2004
Cited alongside, same era.
Tiling space and slabs with acute tetrahedra
Eppstein, D., Sullivan, J. M., and Üngör, A · 2004
Cited alongside, same era.
Variational tetrahedral meshing
Alliez, P., Cohen-Steiner, D., Yvinec, M., and Desbrun, M · 2005
Cited alongside, same era.
Munson, T · 2007
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Generating the Voronoi-Delaunay dual diagram for co-volume integration schemes
Sazonov, I., Hassan, O., Morgan, K., and Weatherill, N. P · 2007
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Well-centered planar triangulation – an iterative approach
VanderZee, E., Hirani, A. N., Guoy, D., and Ramos, E · 2007
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Nondegeneracy and weak global convergence of the Lloyd algorithm in ℝ d \mathbb{R}^{d}
Emelianenko, M., Ju, L., and Rand, A · 2008
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Numerical method for Darcy flow derived using Discrete Exterior Calculus
Hirani, A. N., Nakshatrala, K. B., and Chaudhry, J. H · 2008
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Triangulation of simple 3D shapes with well-centered tetrahedra
VanderZee, E., Hirani, A. N., and Guoy, D · 2008
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Conditions for well-centeredness
VanderZee, E., Hirani, A. N., Guoy, D., Ramos, E., and Zharnitsky, V · 2008
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On nonobtuse simplicial partitions
Brandts, J., Korotov, S., Křížek, M., and Šolc, J · 2009
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A dihedral acute triangulation of the cube
VanderZee, E., Hirani, A. N., Zharnitsky, V., and Guoy, D · 2009
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