Date of Award
Tsin, Y. H.,
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A plane-sweep method without using transformation but using two sweeps is used to construct the Voronoi diagram in $L\sb1\ (L\sb\infty,$ respectively) metric of a set of n point sites in O(nlogn) time and O(n) space. The two sweeps advance from opposite directions and produce two symmetrical data structures called the Left-to-Right Shortest-Path-Map and Right-to-Left Shortest-Path-Map. The two maps are then tailored to produce the desired Voronoi diagram. Source: Masters Abstracts International, Volume: 34-02, page: 0796. Adviser: Y. H. Tsin. Thesis (M.Sc.)--University of Windsor (Canada), 1994.
Wang, Jianan., "Constructing Voronoi diagrams in L(1) and L(infinity) metrics with two plane sweeps." (1994). Electronic Theses and Dissertations. 1555.