Pal, SP and Dasgupta, B and Madhavan, CEV (1994) Optimal polygon placement by translation. In: International Journal of Computer Mathematics, 52 (3-4). 139-148 .
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Let M be an m-sided simple polygon and N be an n-sided polygon with holes. In this paper we consider the problem of computing the feasible region, i.e., the set of all placements by translation of M so that M lies inside N without intersecting any hole. First we propose an O (mn(2)) time algorithm for computing the feasible region for the case when M is a monotone polygon. Then we consider the general case when M is a simple polygon and propose an O(m(2)n(2)) time algorithm for computing the feasible region. Both algorithms are optimal upto a constant factor.
| Item Type: | Journal Article |
|---|---|
| Publication: | International Journal of Computer Mathematics |
| Publisher: | Taylor and francis group |
| Additional Information: | Copyright of this article belongs to Taylor and francis group. |
| Department/Centre: | Division of Electrical Sciences > Computer Science & Automation |
| Date Deposited: | 08 Apr 2011 08:52 |
| Last Modified: | 08 Apr 2011 08:52 |
| URI: | http://eprints.iisc.ac.in/id/eprint/36666 |
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