ACM Home Page
Please provide us with feedback. Feedback
Geometric applications of a randomized optimization technique
Full text PdfPdf (1.31 MB)
Source Annual Symposium on Computational Geometry archive
Proceedings of the fourteenth annual symposium on Computational geometry table of contents
Minneapolis, Minnesota, United States
Pages: 269 - 278  
Year of Publication: 1998
ISBN:0-89791-973-4
Author
Timothy M. Chan  Dapartment of Mathematics and Computer Science, University of Miami, Coral Gables, FL
Sponsors
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 4,   Downloads (12 Months): 18,   Citation Count: 5
Additional Information:

references   cited by   index terms   collaborative colleagues  

Tools and Actions: Request Permissions Request Permissions    Review this Article  
DOI Bookmark: Use this link to bookmark this Article: http://doi.acm.org/10.1145/276884.276915
What is a DOI?

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.

 
1
 
2
P. K. Agarwal and M. Shadr. Efficient randomized algorithms for some geometric optimization problems. Discrete Cornput. Geom., 16:317-337, 1996.
 
3
4
 
5
 
6
 
7
B. K. Bhattachaxya and H. E1Gindy. Biased search and k-point clustering. In Proc. 9th Ganad. Conf. Comput. Geom., 1997.
 
8
H. BrSnnimann and B. Chazelle. Optimal slope selection via cuttings. In Proc. 6th Canad. Conf. Cornput. Geom., pages 99-103, 1994.
 
9
H. BrSnnimann, B. Chazelle, and 3. Matou#ek. Product range spaces, sensitive sampling, and derandomization. In Proc. 3Jth IEEE Syrnpos. Found. Cornput. Sci., pages 400-409, 1993.
10
 
11
T. M. Chan. Output-sensitive results on convex hulls, extreme points, and related problems. Discrete Corn. put. Geom., 16:369-387, 1996.
 
12
 
13
B. Chazelle, H. Edelsbrunner, L. Guibas, and M. Shax#. Diameter, width, closest line pair and parametric searching. Discrete Cornput. Geom., 10:183-196, 1993.
 
14
 
15
 
16
 
17
K. L. Clarkson. New applications of random sampling in computational geometry. Discrete Cornput. Geom., 2:195-222, 1987.
 
18
K. L. Clarkson. Algorithms for the minimum diameter of moving points and for the discrete 1-center problem. Manuscript, 1997.
 
19
20
 
21
 
22
 
23
hi. Dillencourt, D. Mount, and N. Netanyahu. A randomized algorithm for slope selection. Int. A Comput. Geom. Appl., 2:1-27, 1992.
 
24
Z. Drezner. On the rectangular p-center problem. Naval Res. i.ogist. Quart., 34:229-234, 1987.
 
25
hi. E. Dyer. Linear time algorithms for two- and threevariable lhte# programs. SIAM J. Comput., 13:31-45, 1954.
 
26
 
27
 
28
D. Eppstein and J. Erickson. Iterated nearest neighbors and finding mlnlrnal polytopes. Discrete Comput. G,.om., 11:321-350, 1994.
 
29
H. Everett., .}.-hi. Robert, and M. van Kreveld. An optimal algorithm for the (<: k)-levels, with applications to zepztration and transversal problems, int. J. Uomput. Geom. Appl., 6:247-261, 1996.
 
30
G. N. Frederickson and D. B. Johnson. The comple#Sty of selection and ranldng in X + Y and matrices with zorted rows and columns. J. Comput. Sys. Sci., 24:197- 203, 1982.
 
31
F. Gao, L. J. Guibas, D. G. Kirkpatrick, W. T. Laaser, and J. Sane. Finding extrema with unary predicates. Algorithmica, 9:591-600, 1993.
 
32
33
 
34
D. P. Huttenlocher, K. Kedem, and M. Sharir. The upper envelope of Voronoi surfaces and its applications. D#screte Comput. Geom., 9:267-291, 1993.
 
35
 
36
D. E. Knuth. Fundamental Algorithms, volume 1 of The Art of Computer Programming. Addison-W(vley, 1968.
 
37
 
38
 
39
 
40
 
41
J. Matou#ek. On geometric optimization with few violated constraints. Discrete Gomput. Geom., 1,t:365- 384# 1995.
 
42
J. Matou#ek. On constants for cuttings in the plane. Discrete Comput. Geom., to appear.
 
43
44
 
45
N. Megiddo. Linear time "algorithms for linear programming in/g3 and related problems. SIAM J. Comput., 12:759-776, 1983.
46
 
47
M. O. Rabin. ProbabiUstic algorithms. In Algorithms and Complexity (J. F. Traub, ed.), pages 21--30, Academic Press, New York, NY, 1976.
48
 
49
 
50
 
51
M. Shark. A near-lineax algorithm for the planar 2- center problem. Discrete Comput. Geom., 18:125--134# 1997.
 
52
53