CUTTINGS AND APPLICATIONS

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منابع مشابه

Cuttings and applications

We prove a general lemma on the existence of {I/r)-cuttings of geometric objects in Ed that satisfy certain properties. We use this lemma to construct (I/r)-cuttings of (asymptotically) optimal size for arrangements of line segments in the plane and arrangements oftriangles in 3-space; for line segments in the plane we obtain a cutting of size O(r + Ar2/n2 ), and for triangles in 3-space our cu...

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Cuttings in 2D Revisited

Given n lines in the plane, a (1/r)-cutting is a subdivision of the plane into cells such that each cell intersects at most n/r lines. Cuttings are fundamental to the design of geometric divide-and-conquer algorithms and have numerous applications. Early suboptimal constructions of cuttings were given implicitly in the works by Megiddo and by Dyer in the 80s; simple randomized constructions wer...

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ژورنال

عنوان ژورنال: International Journal of Computational Geometry & Applications

سال: 1995

ISSN: 0218-1959,1793-6357

DOI: 10.1142/s0218195995000210