Box-trees and R-trees with near-optimal query time


Journal Article

A box-tree is a bounding-volume hierarchy that uses axis-aligned boxes as bounding volumes. The query complexity of a box-tree with respect to a given type of query is the maximum number of nodes visited when answering such a query. We describe several new algorithms for constructing box-trees with small worst-case query complexity with respect to queries with axis-parallel boxes and with points. We also prove lower bounds on the worst-case query complexity for box-trees, which show that our results are optimal or close to optimal. Finally, we present algorithms to convert box-trees to R-trees, resulting in R-trees with (almost) optimal query complexity.

Full Text

Duke Authors

Cited Authors

  • Agarwal, PK; De Berg, M; Gudmundsson, J; Hammar, M; Haverkort, HJ

Published Date

  • January 1, 2001

Published In

  • Proceedings of the Annual Symposium on Computational Geometry

Start / End Page

  • 124 - 133

Digital Object Identifier (DOI)

  • 10.1145/378583.378645

Citation Source

  • Scopus