An optimal parallel algorithm using exclusive read/writes for the rectilinear Voronoi diagram

Sumanta Guha
1993 Computational geometry  
Guha, S., An optimal parallel algorithm using exclusive read/writes for the rectilinear Voronoi diagram, Computational Geometry: Theory and Applications 3 (1993) 37-52. We present the first optimal parallel algorithm to compute the Voronoi diagram in the rectilinear (I", Manhattan) metric. The algorithm constructs the Voronoi diagram of n points on the plane under the rectilinear metric on an EREW PRAM with n/logn processors in O(log* n) time. The processor-time product of O(n log n) is optimal
more » ... and improves the previous best by a factor of order logn. Some new techniques are developed that should have applicability to many geometric problems under the rectilinear metric and, possibly, other Lp metrics.
doi:10.1016/0925-7721(93)90029-6 fatcat:sfruialoindxfflkgry2nbqice