Dynamic well-spaced point sets

Proceedings of the Annual Symposium on Computational Geometry

Volumn , Issue , 2010, Pages 314-323

  Acar, Umut A ^a   Cotter, Andrew ^b   Hudson, Benoît ^b   Türkoǧlu, Duru ^c  

^a MAX PLANCK INSTITUTE FOR SOFTWARE SYSTEMS   (Germany)

^b TOYOTA TECHNOLOGICAL INSTITUTE AT CHICAGO   (United States)

^c THE UNIVERSITY OF CHICAGO   (United States)

Author keywords

Dynamic stability; Dynamization; Mesh generation; Self adjusting computation; Voronoi diagrams; Well spaced point sets

Indexed keywords

DYNAMIC STABILITY; POINT SET; SELF-ADJUSTING; SELF-ADJUSTING COMPUTATION; VORONOI DIAGRAMS;

ALGORITHMS; ASPECT RATIO; MESH GENERATION; OPTIMIZATION;

GEOMETRY;

EID: 77954909040     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1810959.1811011     Document Type: Conference Paper

References (27)

1. Umut A. Acar, Guy E. Blelloch, Matthias Blume, and Kanat Tangwongsan. An experimental analysis of self-adjusting computation. In Proceedings of the ACM SIGPLAN Conference on PLDI, 2006.
2. Umut A. Acar, Guy E. Blelloch, Kanat Tangwongsan, and Duru Türkoǧlu. Robust Kinetic Convex Hulls in 3D. In 16th Annual European Symposium on Algorithms, 2008.
3. Umut A. Acar. Self-Adjusting Computation. PhD thesis, Department of Computer Science, Carnegie Mellon University, May 2005.
4. Umut A. Acar, Andrew Cotter, Benoît Hudson, and Duru Türkoǧlu. Dynamic well-spaced point sets. Technical Report TTIC-TR-2010-1, Toyota Technological Institute at Chicago, 2010.
5. J.-D. Boissonnat, O. Devillers, R. Schott, M. Teillaud, and M. Yvinec. Applications of random sampling to on-line algorithms in computational geometry. Discrete Computional Geometry, 8:51-71, 1992.
6. Marshall Bern, David Eppstein, and John R. Gilbert. Provably Good Mesh Generation. Journal of Computer and System Sciences, 48(3):384-409, 1994.
7. Nuttapong Chentanez, Ron Alterovitz, Daniel Ritchie, Lita Cho, Kris K. Hauser, Ken Goldberg, Jonathan R. Shewchuk, and James F. O'Brien. Interactive simulation of surgical needle insertion and steering. In Proceedings of ACM SIGGRAPH, Aug 2009.
8. Siu-Wing Cheng, Tamal Krishna Dey, Herbert Edelsbrunner, Michael A. Facello, and Shang-Hua Teng. Sliver Exudation. Journal of the ACM, 47(5):883-904, 2000.
9. Narcis Coll, Marité Guerrieri, and J. Antoni Sellarès. Mesh modification under local domain changes. In 15th Intl. Meshing Roundtable, pages 39-56, 2006.
10. L. Paul Chew. Guaranteed-quality triangular meshes. Technical Report TR-89-983, Department of Computer Science, Cornell University, 1989.
11. Kenneth L. Clarkson, Kurt Mehlhorn, and Raimund Seidel. Four results on randomized incremental constructions. Computational Geometry Theory and Application, 3:185-212, 1993.
12. Benoît Hudson, Gary L. Miller, and Todd Phillips. Sparse Voronoi Refinement. In 15th Intl. Meshing Roundtable, pages 339-356, 2006. Long version in Carnegie Mellon University Tech. Report CMU-CS-06-132.
13. Sariel Har-Peled and Alper Üngör. A time-optimal Delaunay refinement algorithm in two dimensions. In 21st Symposium on Computational Geometry, pages 228-236, 2005.
14. Benoît Hudson and Duru Türkoǧlu. An efficient query structure for mesh refinement. In Canadian Conf. on Comp. Geometry, 2008.
15. Benoît Hudson. Dynamic Mesh Refinement. PhD thesis, School of Computer Science, Carnegie Mellon University, December 2007. Available as Technical Report CMU-CS-07-162.
16. Xiang-Yang Li and Shang-Hua Teng. Generating well-shaped Delaunay meshes in 3D. In Proceedings of the 12th Annual ACM-SIAM Symposium on Discrete Algorithms, pages 28-37, 2001.
17. Xiang-Yang Li, Shang-Hua Teng, and Alper Üngör. Simultaneous refinement and coarsening for adaptive meshing. Engineering with Computers, 15(3):280-291, 1999.
18. Ruy Ley-Wild, Umut A. Acar, and Matthew Fluet. A cost semantics for self-adjusting computation. In Proceedings of the 26th Annual ACM Symposium on Principles of Programming Languages, 2009.
19. Neil Molino, Zhaosheng Bao, and Ron Fedkiw. A virtual node algorithm for changing mesh topology during simulation. In SIGGRAPH, 2004.
20. Gary L. Miller, Dafna Talmor, Shang-Hua Teng, Noel Walkington, and Han Wang. Control Volume Meshes Using Sphere Packing: Generation, Refinement and Coarsening. In 5th Intl. Meshing Roundtable, pages 47-61, 1996.
21. Ketan Mulmuley. Randomized multidimensional search trees (extended abstract): dynamic sampling. In Proceedings of the 7th Annual Symposium on Computational Geometry, pages 121-131, 1991.
22. Han-Wen Nienhuys and A. Frank van der Stappen. A Delaunay approach to interactive cutting in triangulated surfaces. In fifth Intl. Workshop on Algorithmic Foundations of Robotics, 2004.
23. Jim Ruppert. A Delaunay refinement algorithm for quality 2-dimensional mesh generation. J. Algorithms, 18(3):548-585, 1995.
24. Otfried Schwarzkopf. Dynamic maintenance of geometric structures made easy. In Proceedings of the 32nd Annual Symposium on Foundations of Computer Science, pages 197-206, 1991.
25. Jonathan Richard Shewchuk. Adaptive Precision Floating-Point Arithmetic and Fast Robust Geometric Predicates. Discrete & Computational Geometry, 18(3):305-363, 1997.
26. Daniel Spielman, Shang-Hua Teng, and Alper Üngör. Parallel Delaunay refinement: Algorithms and analyses. IJCGA, 17:1-30, 2007.
27. Dafna Talmor. Well-Spaced Points for Numerical Methods. PhD thesis, Carnegie Mellon University, August 1997. Available as Technical Report CMU-CS-97-164.