Geometriae Dedicata

, Volume 27, Issue 1, pp 65–75

Geometric relations among Voronoi diagrams

  • F. Aurenhammer
  • H. Imai

DOI: 10.1007/BF00181613

Cite this article as:
Aurenhammer, F. & Imai, H. Geom Dedicata (1988) 27: 65. doi:10.1007/BF00181613


Two general classes of Voronoi diagrams are introduced and, along with their modifications to higher order, are shown to be geometrically related. This geometric background, on the one hand, serves to analyse the size and combinatorial structure and, on the other, implies general and efficient methods of construction for various important types of Voronoi diagrams considered in the literature.

Copyright information

© Kluwer Academic Publishers 1988

Authors and Affiliations

  • F. Aurenhammer
    • 1
  • H. Imai
    • 2
  1. 1.Institutes for Information ProcessingTechnical University of Graz and Austrian Computer SocietyGrazAustria
  2. 2.Department of Computer Science and Communication EngineeringKyushu UniversityFukuotaJapan