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A hierarchical spatial index for cell complexes

  • Elisabetta Bruzzone
  • Leila De Floriani
  • Monica Pellegrinelli
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 692)

Abstract

A new hierachical spatial index for object representation schemes based on three-dimensional cell complexes is introduced. We consider a domain consisting of general n-dimensional spatial objects described by n-dimensional cell complexes. The new hierarchical spatial index, called a cellular n-tree, generalizes similar structures developed for planar maps, and is defined as a recursive subdivision of a universe containing the cell complex into regular blocks. Terminal blocks may be completely inside a cell or outside the complex, or may contain indices to sets of cells within the complex. We briefly review the properties of n-dimensional cell complexes, that we call cellular decompositions, and introduce a few basic atomic operators for building them in the three-dimensional case. We shortly describe algorithms for building a cellular octree from a 3D cellular decomposition and for updating the cellular octree, when the cellular decomposition is modified by applying the atomic constructive operators introduced. Algorithms for solving point location and proximity queries on a cellular decomposition with a cellular octree superimposed are presented.

Keywords

Cell Complex Query Point Spatial Index Spatial Query Spatial Entity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Elisabetta Bruzzone
    • 1
  • Leila De Floriani
    • 2
  • Monica Pellegrinelli
    • 2
  1. 1.Elsag Bailey S.p.A. Research and DevelopmentGenovaItaly
  2. 2.Department of Computer and Information SciencesUniversity of GenovaGenovaItaly

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