Efficient algorithms for geometric optimization

Author:

Agarwal Pankaj K.1,Sharir Micha2

Affiliation:

1. Duke Univ., Durham, NC

2. Tel Aviv Univ., Tel Aviv, Israel

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 LP-type problems and their efficient solution. We then describe a wide range 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.

Publisher

Association for Computing Machinery (ACM)

Subject

General Computer Science,Theoretical Computer Science

Reference273 articles.

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