A hierarchal raster method for computing voronoi diagrams based on quadtrees

R.L. Zhao, Zhilin Li, J. Chen, C.M. Gold, Y. Zhang

Research output: Journal article publicationConference articleAcademic researchpeer-review


Voronoi diagram is a basic data structure in geometry. It has been increasingly attracting the investigation into diverse applications since it was introduced into GTS field. Most current methods for computing Voronoi diagrams are implemented in vector mode. However, the vector-based methods are good only for points and difficult for complex objects. At the same time, most current raster methods are implemented only in a uniformed-grid raster mode. There is a lack of hierarchical method implemented in a hierarchical space such as quadtrees. Tn this paper such a hierarchical method is described for computing generalized Voronoi diagrams by means of hierarchical distance transform and hierarchical morphological operators based on the quadtree structure. Three different solutions are described and illustrated with experiments for different applications. Furthermore, the errors caused by this method are analyzed and are reduced by constructing the dynamical hierarchical distance structure elements.
Original languageEnglish
Pages (from-to)1004-1013
Number of pages10
JournalLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Publication statusPublished - 2002
EventInternational Conference on Computational Science [ICCS] -
Duration: 1 Jan 2002 → …

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science


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