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An optimal algorithm for constructing oriented voronoi diagrams and geographic neighborhood graphs
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An optimal algorithm for constructing oriented voronoi diagrams and geographic neighborhood graphs

Maw Shang Chang, Nen-Fu HuangChuan-Yi Tang
Information Processing Letters, 卷.35(5), 頁碼.255-260
08/1990

摘要

Computational geometry geographic neighborhood graph oriented Voronoi diagram Computational Theory and Mathematics
Given n points on the plane, we propose an O(n log n) algorithm to construct the oriented Voronoi diagram and the geopraphic neighborhood graph of these n points. We also show that both problems have the same lower bound of Ω(n log n) and hence the proposed algorithm is optimal. © 1990.

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