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Average citations per article10.83
Citation Count65
Publication count6
Publication years2008-2017
Available for download2
Average downloads per article1,320.00
Downloads (cumulative)2,640
Downloads (12 Months)704
Downloads (6 Weeks)68
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July 2017 Engineering with Computers: Volume 33 Issue 3, July 2017
Publisher: Springer-Verlag
Citation Count: 0

Existing flips for tetrahedral meshes simply make a selection from a few possible configurations within a single shell (i.e., a polyhedron that can be filled up with a mesh composed of a set of elements that meet each other at one edge), and their effectiveness is usually confined. A new ...
Keywords: Topological transformation, Mesh generation, Shell transformation, Tetrahedral meshes, Mesh improvement, Mesh smoothing

April 2017 Computer-Aided Design: Volume 85 Issue C, April 2017
Publisher: Butterworth-Heinemann
Citation Count: 0

We generalize the higher embedding approach proposed in Lvy and Bonneel (2013) to generate an adapted mesh matching the intrinsic directionalities of an assigned function. In more detail, the original embedding map between the physical (lower dimensional) and the embedded (higher dimensional) setting is modified to include information associated with ...
Keywords: Higher dimensional embedding, Mesh adaptation, Anisotropic meshes, Partial differential equations

3 published by ACM
February 2015 ACM Transactions on Mathematical Software (TOMS): Volume 41 Issue 2, January 2015
Publisher: ACM
Citation Count: 44
Downloads (6 Weeks): 68,   Downloads (12 Months): 685,   Downloads (Overall): 2,448

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TetGen is a C++ program for generating good quality tetrahedral meshes aimed to support numerical methods and scientific computing. The problem of quality tetrahedral mesh generation is challenged by many theoretical and practical issues. TetGen uses Delaunay-based algorithms which have theoretical guarantee of correctness. It can robustly handle arbitrary complex ...
Keywords: Steiner points, Tetrahedral mesh generation, boundary recovery, mesh quality, mesh improvement, Delaunay, constrained Delaunay, edge removal, flips, mesh refinement

4 published by ACM
June 2014 SOCG'14: Proceedings of the thirtieth annual symposium on Computational geometry
Publisher: ACM
Citation Count: 2
Downloads (6 Weeks): 0,   Downloads (12 Months): 19,   Downloads (Overall): 192

Full text available: PDFPDF
Most algorithms for guaranteed-quality tetrahedral mesh generation create Delaunay meshes. Delaunay triangulations have many good properties, but the requirement that all tetrahedra be Delaunay often forces mesh generators to overrefine where boundary polygons meet at small angles---that is, they produce too many tetrahedra, making them too small. Relaxing the Delaunay ...
Keywords: Delaunay refinement algorithm, tetrahedral mesh generation, constrained Delaunay triangulation

January 2010 Finite Elements in Analysis and Design: Volume 46 Issue 1-2, January, 2010
Publisher: Elsevier Science Publishers B. V.
Citation Count: 15

A constrained Delaunay tetrahedralization of a domain in R^3 is a tetrahedralization such that it respects the boundaries of this domain, and it has properties similar to those of a Delaunay tetrahedralization. Such objects have various applications such as finite element analysis, computer graphics rendering, geometric modeling, and shape analysis. ...

September 2008 GIScience '08: Proceedings of the 5th international conference on Geographic Information Science
Publisher: Springer-Verlag
Citation Count: 2

Closed, watertight, 3D geometries are represented by polyhedra. Current data models define these polyhedra basically as a set of polygons, leaving the test on intersecting polygons or open gaps to external validation rules. If this testing is not performed well, or not at all, non-valid polyhedra could be stored in ...

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