On the average length of Delaunay triangulations |
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Authors: | R C Chang R C T Lee |
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Institution: | (1) Institute of Computer Engineering, National Chiao Tung University, Hsinchu, Taiwan, 300 Republic of China;(2) Department of Electrical Engineering, National Tsing Hua University, Hsinchu, Taiwan, 300 Republic of China |
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Abstract: | We shall show that on the average, the total length of a Delaunay triangulation is of the same order as that of a minimum triangulation, under the assumption that our points are drawn from a homogeneous planar Poisson point distribution. |
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