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Efficient algorithms for geometric optimization (1998)
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| Venue: | ACM Comput. Surv |
| Citations: | 114 - 10 self |
BibTeX
@ARTICLE{Agarwal98efficientalgorithms,
author = {Pankaj K. Agarwal and Micha Sharir},
title = {Efficient algorithms for geometric optimization},
journal = {ACM Comput. Surv},
year = {1998},
volume = {30},
pages = {412--458}
}
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Abstract
We review the recent progress in the design of efficient algorithms for various problems in geometric optimization. We present several techniques used to attack these problems, such as parametric searching, geometric alternatives to parametric searching, prune-and-search techniques for linear programming and related problems, and LPtype problems and their efficient solution. We then describe a variety of applications of these and other techniques to numerous problems in geometric optimization, including facility location, proximity problems, statistical estimators and metrology, placement and intersection of polygons and polyhedra, and ray shooting and other query-type problems.
Keyphrases
geometric optimization efficient algorithm numerous problem statistical estimator present several technique various problem linear programming lptype problem prune-and-search technique related problem recent progress ray shooting efficient solution query-type problem geometric alternative facility location parametric searching proximity problem
