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On Optimal Node Splitting for R-trees |
Full Paper (PDF)
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The problem of finding an optimal bipartition of a rectangle set has a direct impact on query performance of dynamic R-trees.
During update operations, overflowed nodes need to be split (bipartitioned) with the goal of minimizing resultant expected query time.
The previous algorithm for optimal node splitting requires exponential time.
One contribution of this paper is a polynomial time algorithm for finding optimal bipartitions for any objective function whose value depends exclusively on the bounding hyper-rectangles of the ensuing partitions.
The algorithm runs in O(nd) time where d > 1 is the number of dimensions of the input.
Experimental studies indicate that the use of optimal splits alone resultsin improvements of query performance of only between 5% and 15% when compared to other heuristics.
Thus, a second contribution is to demonstrate the near optimality of previous split heuristics, a fact that suggests that research should focus on global rather than local optimization issues.
Finally, we propose a new dynamic R-tree insertion method that uses a moreglobal restructuring heuristic when processing node overflows.
When coupled with optimal splits our method results in improvements of up to 120% over the leading standard.
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References, where available, link to the DBLP on the World Wide Web.
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The R*-Tree: An Efficient and Robust Access Method for Points and Rectangles.
SIGMOD Conference 1990: 322-331[Gut84]Antonin Guttman:
R-Trees: A Dynamic Index Structure for Spatial Searching.
SIGMOD Conference 1984: 47-57[Kam93]Ibrahim Kamel, Christos Faloutsos:
On Packing R-trees.
CIKM 1993: 490-499[Kam94]Ibrahim Kamel, Christos Faloutsos:
Hilbert R-tree: An Improved R-tree using Fractals.
VLDB 1994: 500-509[Leu98]Scott T. Leutenegger, Mario A. Lopez:
The Effect of Buffering on the Performance of R-Trees.
ICDE 1998: 164-171[Leu97]Scott T. Leutenegger, J. M. Edgington, Mario A. Lopez:
STR: A Simple and Efficient Algorithm for R-Tree Packing.
ICDE 1997: 497-506[Lop96]...
[Rou85]Nick Roussopoulos, Daniel Leifker:
Direct Spatial Search on Pictorial Databases Using Packed R-Trees.
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The R+-Tree: A Dynamic Index for Multi-Dimensional Objects.
VLDB 1987: 507-518
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@inproceedings{DBLP:conf/vldb/GarciaLL98,
author = {Yv{\'a}n J. Garc\'{\i}a and
Mario A. Lopez and
Scott T. Leutenegger},
editor = {Ashish Gupta and
Oded Shmueli and
Jennifer Widom},
title = {On Optimal Node Splitting for R-trees},
booktitle = {VLDB'98, Proceedings of 24rd International Conference on Very
Large Data Bases, August 24-27, 1998, New York City, New York,
USA},
publisher = {Morgan Kaufmann},
year = {1998},
isbn = {1-55860-566-5},
pages = {334-344},
crossref = {DBLP:conf/vldb/98},
bibsource = {DBLP, http://dblp.uni-trier.de}
}
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DBLP: Copyright ©1999 by Michael Ley (ley@uni-trier.de).
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