Efficiency analysis of overlapped quadtrees

  • Authors:
  • Michael Vassilakopoulos;Yannis Manolopoulos;Brigitte Kröll

  • Affiliations:
  • Department of Electrical & Computer Eng., Aristotelian University of Thessaloniki, 54006 Thessaloniki, Greece;Department of Informatics, Aristotelian University of Thessaloniki, 54006 Thessaloniki, Greece;Institut für Theoretische Informatik, ETH Zentrum, 8092 Zürich, Switzerland

  • Venue:
  • Nordic Journal of Computing
  • Year:
  • 1995

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Abstract

The technique of overlapping region quadtrees results in significant space reduction. This new form of data structure is suitable for representing sequences of similar binary raster images emerging in many areas. Apart from a short introduction to the method of overlapping, an analysis of the space reduction achieved is presented in this article. First, a general theorem about the average number of common nodes of two images obeying a general model is given. Next, two models of image similarity are introduced and the respective formulae are derived from the general one. Evaluating these formulae for various parameters shows the efficiency of overlapping.