Improved Algorithm for Constructing Euclidean City Voronoi Diagrams

유클리드 씨티 보로노이 다이어그램 계산을 위한 향상된 알고리즘

  • Bae, Sang-Won (Div. of Computer Science, Dept. of Electrical Engineering and Computer Science, Korea Advanced Institute of Science and Technology) ;
  • Kim, Jae-Hoon (Division of Computer Engineering, Pusan University of Foreign Studies) ;
  • Chwa, Kyung-Yong (Div. of Computer Science, Dept. of Electrical Engineering and Computer Science, Korea Advanced Institute of Science and Technology)
  • 배상원 (한국과학기술원 전자전산학과 전산학) ;
  • 김재훈 (부산외국어대학교 컴퓨터공학과) ;
  • 좌경룡 (한국과학기술원 전자전산학과 전산학)
  • Published : 2006.10.20

Abstract

This paper presents an improved algorithm for constructing the city Voronoi diagram under the Euclidean metric given a transportation network consisting of roads having a constant number of speeds and orientations. The algorithm applies the continuous Dijkstra paradigm and its efficiency follows from new geometric insights that are first observed in this paper.

Keywords