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Incremental constructions con BRIO
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Source Annual Symposium on Computational Geometry archive
Proceedings of the nineteenth annual symposium on Computational geometry table of contents
San Diego, California, USA
SESSION: Models and meshes table of contents
Pages: 211 - 219  
Year of Publication: 2003
ISBN:1-58113-663-3
Authors
Nina Amenta  University of California at Davis
Sunghee Choi  University of Texas at Austin
Günter Rote  Freie Universitat Berlin
Sponsors
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques
ACM: Association for Computing Machinery
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 5,   Downloads (12 Months): 22,   Citation Count: 9
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ABSTRACT

Randomized incremental constructions are widely used in computational geometry, but they perform very badly on large data because of their inherently random memory access patterns. We define a biased randomized insertion order which removes enough randomness to significantly improve performance, but leaves enough randomness so that the algorithms remain theoretically optimal.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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Bartholdi, III, J. J., and Platzman, L. K. A fast heuristic based on spacefilling curves for minimum-weight matching in the plane. Inform. Process. Lett. 17 (1983), 177--180.
 
6
Blelloch, G. E., Miller, G. L., Hardwick, J. C., and Talmor, D. Design and implementation of a practical parallel Delaunay algorithm. Algorithmica 24, 3 (1999), 243--269.
 
7
Chan, T. M., Snoeyink, J., and Yap, C. K. Primal dividing and dual pruning: Output-sensitive construction of 4-d polytopes and 3-d Voronoi diagrams. Discrete Comput. Geom. 18 (1997), 433--454.
 
8
 
9
 
10
Cignoni, P., Montani, C. and Scopigno, R. DeWall: a fast divide and conquer Delaunay triangulation algorithm in Ed. Computer-Aided Design 30, 5 (1998), 333--341.
 
11
Clarkson, K. L. New applications of random sampling in computational geometry. Discrete Comput. Geom. 2 (1987), 195--222.
 
12
 
13
 
14
 
15
Devillers, O. The Delaunay hierarchy. Int. Journ. Found. of Comp. Sci., 13 (2002), 163--180.
 
16
Devillers, O., and Guigue, P. The shuffling buffer. Internat. J. Comput. Geom. Appl. 11 (2001), 555--572.
 
17
 
18
 
19
Golin, M. J., and Na, H.-S. On the average complexity of 3d-Voronoi diagrams of random points on convex polytopes. In Proc. 12th Annu. ACM Sympos. Comput. Geom. (2000), pp. 127--135.
 
20
Golin, M. J., and Na, H.-S. On the average complexity of 3d-Voronoi diagrams of random points on convex polytopes. Tech. Rep. Tech. report HKUST-TCSC-2001-08, Hong Kong University of Science and Technology, 2001. http://www.cs.ust.hk/tcsc/RR/2001-08.ps.gz.
 
21
Golin, M. J., and Na, H.-S. On the proofs of two lemmas describing the intersections of spheres with the boundary of a convex polytope. Tech. Rep. Tech. report HKUST-TCSC-2001-09, Hong Kong University of Science and Technology, 2001. http://www.cs.ust.hk/tcsc/RR/2001-09.ps.gz.
 
22
Goodrich, M. T., Tsay, J.-J., Vengroff, D. E., and Vitter J. S. External-Memory Computational Geometry, In Proc. 34th Foundations of Computer Science (FOCS) (1993), pp. 714--723.
 
23
24
 
25
 
26
Mulmuley, K. Computational Geometry: An Introduction Through Randomized Algorithms. Prentice Hall, Englewood Cliffs, NJ, 1993.
 
27
28
 
29
Sagan, H. Space-filling curves. Springer-Verlag, New York, 1994.
 
30
 
31
 
32
Seidel, R. Backwards analysis of randomized geometric algorithms. In New Trends in Discrete and Computational Geometry, J. Pach, Ed., vol. 10 of Algorithms and Combinatorics. Springer-Verlag, 1993, pp. 37--68.
 
33
Welzl, E. Smallest enclosing disks (balls and ellipsoids). In New Results and New Trends in Computer Science, H. Maurer, Ed., vol. 555 of Lecture Notes Comput. Sci. Springer-Verlag, 1991, pp. 359--370.
 
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CITED BY  9

Collaborative Colleagues:
Nina Amenta: colleagues
Sunghee Choi: colleagues
Günter Rote: colleagues