Open AccessProceedings Article
A fast, space-efficient average-case algorithm for the 'Greedy' Triangulation of a point set, and a proof that the Greedy Triangulation is not approximately optimal
G. K. Manacher,A. L. Zobrist +1 more
TLDR
The paper addresses the problem of how to find the Greedy Triangulation efficiently in the average case and shows how in the worst case, the GT may be obtained in time O(n to the 3) and space O( n).Abstract:
The paper addresses the problem of how to find the Greedy Triangulation (GT) efficiently in the average case. It is noted that the problem is open whether there exists an efficient approximation algorithm to the Optimum Triangulation. It is first shown how in the worst case, the GT may be obtained in time O(n to the 3) and space O(n). Attention is then given to how the algorithm may be slightly modified to produce a time O(n to the 2), space O(n) solution in the average case. Finally, it is mentioned that Gilbert has found a worst case solution using totally different techniques that require space O(n to the 2) and time O(n to the 2 log n).read more
Citations
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New Results on Planar Triangulations.
TL;DR: The minimum weight triangulation (MWT) of a simple N-vertex polygon is shown to be constructible in time O(N cu), and a local property of MWTs is proved, a side result of which is that the shortest edge between a pair of points must be in a MWT.
Journal ArticleDOI
Neither the greedy nor the delaunay triangulation of a planar point set approximates the optimal triangulation
Proceedings ArticleDOI
AVIRIS Ground Data-Processing System
TL;DR: An outline of the data flow through the system is given, and the software and incorporated algorithms developed specifically for the systematic processing of AVIRIS data are described.
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