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Lines in Space
Herbert Edelsbrunner
Bernard Chazelle
University of Illinois at Urbana-Champaign. Department of Computer Science
其他書名
Combinatorics and Algorithms
出版
Department of Computer Science, University of Illinois at Urbana-Champaign
, 1990
URL
http://books.google.com.hk/books?id=pMIVwGwXrR0C&hl=&source=gbs_api
註釋
Abstract: "Questions about lines in space arise frequently as subproblems in 3-dimensional Computational Geometry. In this paper we study a number of fundamental combinatorial and algorithmic problems involving arrangements of n lines in 3-dimensional space. Our main results include: 1. A tight [Theta](n[superscript 2]) bound on the maximum combinatorial description complexity of the set of all oriented lines that have specified orientations relative to the n given lines. 2. A similar bound of [Theta](n[superscript 3]) for the complexity of the set of all lines passing above the n given lines