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Reports (Research Report) Year : 1994

Poisson Power Tesselations


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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inria-00074370 , version 1 (24-05-2006)


  • HAL Id : inria-00074370 , version 1


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