Topological Relations in the World of Minimum Bounding Rectangles: A Study with R-trees
Summary: Studies how topological relations emerge from projections of Minimum Bounding Rectangles, quantifying MBR-revealed info about enclosed objects. Applies to R-trees, R+-trees, and R*-trees to minimize disk I/Os for complex spatial queries (conjunctions/disjunctions) and outlines extensions. (summarized by gpt-5-nano on Feb 09 2026)
Incoming Non-self Citations Over Time
Authors
- 1. Dimitris Papadias (University of California San Diego)
- 2. Yannis Theodoridis (National Technical University of Athens)
- 3. Timos Sellis (National Technical University of Athens)
- 4. Max J. Egenhofer (University of Maine)
BibTeX Citation
@inproceedings{papadias_sigmod95,
title = {{Topological Relations in the World of Minimum Bounding Rectangles: A Study with R-trees}},
author = {Papadias, Dimitris and Theodoridis, Yannis and Sellis, Timos and Egenhofer, Max J.},
series = {{SIGMOD} '95},
booktitle = {Proceedings of the {ACM} {SIGMOD} International Conference on Management of Data},
publisher = {Association for Computing Machinery},
doi = {10.1145/223784.223798},
url = {https://dl.acm.org/doi/10.1145/223784.223798},
year = {1995}
}
Incoming Citations (Sorted by Pagerank)
Showing 9 of 9 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 202 | Generalized Search Trees for Database Systems (Extended Abstract) | 1995 | VLDB | 0.00025454884 |
| 1,373 | A Model for the Prediction of R-tree Performance | 1996 | PODS | 0.0001098638 |
| 2,375 | Novel Approaches to the Indexing of Moving Object Trajectories | 2000 | VLDB | 8.6753909e-05 |
| 3,217 | Quadtree and R-tree Indexes in Oracle Spatial: A Comparison using GIS Data | 2002 | SIGMOD | 7.6314544e-05 |
| 3,410 | SVQ: Streaming Video Queries | 2019 | SIGMOD | 7.4362585e-05 |
| 3,703 | Approximation Techniques for Spatial Data | 2004 | SIGMOD | 7.1829776e-05 |
| 4,815 | Integration of Spatial Join Algorithms for Processing Multiple Inputs | 1999 | SIGMOD | 6.4949956e-05 |
| 5,857 | Spatial Indexing in Microsoft SQL Server 2008 | 2008 | SIGMOD | 6.0644613e-05 |
| 12,944 | Algorithms for Querying by Spatial Structure | 1998 | VLDB | 5.093636e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 6 of 6 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 2 | R-Trees: A Dynamic Index Structure For Spatial Searching | 1984 | SIGMOD | 0.0020210012 |
| 4 | The R*-tree: An Efficient and Robust Access Method for Points and Rectangles | 1990 | SIGMOD | 0.001157935 |
| 28 | Nearest Neighbor Queries | 1995 | SIGMOD | 0.00052102434 |
| 42 | The R+-Tree: A Dynamic Multi-Dimensional Index for Objects | 1987 | VLDB | 0.00046170812 |
| 522 | Multi-Step Processing of Spatial Joins | 1994 | SIGMOD | 0.00017133516 |
| 7,364 | Reasoning about Spatial Relationships in Picture Retrieval Systems | 1994 | VLDB | 5.6331465e-05 |
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