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Poisson Power Tesselations

Abstract : We consider generalization of the Voronoi diagram - power diagram, constructed with respect to a Poisson processes with i.i.d. marks (weights). We give first moment of the volume distribution of a typical cell, the probability that a cell is empty, the mean length of a typical edge in the planar case and other geometrical characteristics of this tesselation.
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https://hal.inria.fr/inria-00074370
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Submitted on : Wednesday, May 24, 2006 - 3:09:55 PM
Last modification on : Friday, February 4, 2022 - 3:15:26 AM
Long-term archiving on: : Tuesday, April 12, 2011 - 4:45:50 PM

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  • HAL Id : inria-00074370, version 1

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Sergueï Zuyev. Poisson Power Tesselations. [Research Report] RR-2303, INRIA. 1994. ⟨inria-00074370⟩

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