A random model for analyzing region quadtrees

  • Authors:
  • Michael Vassilakopoulos;Yannis Manolopoulos

  • Affiliations:
  • Department of Electrical & Computer Engineering. Aristotelian University of Thessaloniki, GR-540 06, Greece;Department of Informatics, Aristotelian University of Thessaloniki, GR-540 06, Greece

  • Venue:
  • Pattern Recognition Letters
  • Year:
  • 1995

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Abstract

A new random tree model, suitable for analyzing the storage efficiency of region quadtrees, is introduced. For certain values of parameters this model is proved to he the formal equivalent of an older popular random tree model. A formula that expresses the average number of nodes in a region quadtree obeying this model is also given and proved in two different ways.