Reprint of: Memory-constrained algorithms for simple polygons

Tetsuo Asano, Kevin Buchin, Maike Buchin, Matias Korman, Wolfgang Mulzer, Günter Rote, André Schulz

研究成果: Article査読

13 被引用数 (Scopus)

抄録

A constant-work-space algorithm has read-only access to an input array and may use only O(1) additional words of O(logn) bits, where n is the input size. We show how to triangulate a plane straight-line graph with n vertices in O(n2) time and constant work-space. We also consider the problem of preprocessing a simple polygon P for shortest path queries, where P is given by the ordered sequence of its n vertices. For this, we relax the space constraint to allow s words of work-space. After quadratic preprocessing, the shortest path between any two points inside P can be found in O(n2/s) time.

本文言語English
ページ(範囲)469-479
ページ数11
ジャーナルComputational Geometry: Theory and Applications
47
3 PART B
DOI
出版ステータスPublished - 2014 4月
外部発表はい

ASJC Scopus subject areas

  • コンピュータ サイエンスの応用
  • 幾何学とトポロジー
  • 制御と最適化
  • 計算理論と計算数学
  • 計算数学

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