Parallel algorithms for some functions of two convex polygons
β Scribed by Mikhail J. Atallah; Michael T. Goodrich
- Publisher
- Springer
- Year
- 1988
- Tongue
- English
- Weight
- 712 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0178-4617
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π SIMILAR VOLUMES
We present a parallel algorithm for the Voronoi diagram of the set of vertices of a convex polygon. The algorithm runs in time O(logn) and uses O(n loglogn/log n) processors in the CRCW PRAM model. The concurrent write is used only by an integer sorting subroutine. We also obtain an O(log n)-time an
Given a set S of n disjoint convex polygons {P i | 1 i n} in a plane, each with k i vertices, the transversal problem is to determine whether there exists a straight line that goes through every polygon in S. We show that the transversal problem can be solved in O(N + n log n) time, where N = n i=1