Separability of Polyhedra for Optimal Filtering of Spatial and Constraint Data
Summary: Approximate d‑D objects by minimal convex polyhedra whose facets are normal to a chosen set of axes (axes not tied to coordinates), and optimize axis selection to trade filtering quality against storage/access cost. Introduce separability classification and algorithms to minimize axes for a target filter quality or to optimize quality under a fixed axis budget; suited to low‑dim, directionally skewed static spatial data. (summarized by gpt-5-mini on Feb 09 2026)
Incoming Non-self Citations Over Time
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Incoming Citations (Sorted by Pagerank)
Showing 3 of 3 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 618 | Constraint Programming and Database Languages: A Tutorial | 1995 | PODS | 0.00018990567 |
| 2,973 | Variable Independence and Aggregation Closure | 1996 | PODS | 7.7895983e-05 |
| 5,725 | Measuring Infinite Relations (Extended Abstract) | 1995 | PODS | 5.35129e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 11 of 11 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 | 0.0032118946 |
| 5 | The K-D-B-Tree: A Search Structure for Large Multidimensional Dynamic Indexes | 1981 | SIGMOD | 0.0018380955 |
| 6 | The R*-tree: An Efficient and Robust Access Method for Points and Rectangles | 1990 | SIGMOD | 0.0016113151 |
| 24 | The R+-Tree: A Dynamic Index For Multi-Dimensional Objects | 1987 | VLDB | 0.00083300888 |
| 56 | Direct Spatial Search on Pictorial Databases Using Packed R-trees | 1985 | SIGMOD | 0.00065500256 |
| 855 | Querying Constraints | 1990 | PODS | 0.00015877874 |
| 1,035 | Redundancy in Spatial Databases | 1989 | SIGMOD | 0.00014524981 |
| 2,010 | Indexing for Data Models with Constraints and Classes (Extended Abstract) | 1993 | PODS | 9.8046157e-05 |
| 4,743 | Efficient Spatial Access To A Data Base | 1982 | SIGMOD | 5.949696e-05 |
| 4,793 | Toward Practical Constraint Databases | 1993 | VLDB | 5.9107617e-05 |
| 7,279 | A Population Analysis for Hierarchical Data Structures | 1987 | SIGMOD | 4.7718422e-05 |
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Semantically Similar Papers
| Overall Rank | Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 4,405 | Filtering with Approximate Predicates | 1998 | VLDB | 6.2048285e-05 |
| 4,379 | Rectangle-Efficient Aggregation in Spatial Data Streams | 2012 | PODS | 6.2326895e-05 |
| 8,013 | Constraint-Based Query Optimization for Spatial Databases | 1991 | PODS | 4.6021663e-05 |
| 2,056 | Selectivity Estimation in Spatial Databases | 1999 | SIGMOD | 9.6692561e-05 |
| 8,200 | Efficient Geometry-based Similarity Search of 3D Spatial Databases | 1999 | SIGMOD | 4.5556029e-05 |
| 8,810 | Spatial Priority Search: An Access Technique for Scaleless Maps | 1991 | SIGMOD | 4.4399995e-05 |
| 3,540 | Approximation Techniques for Spatial Data | 2004 | SIGMOD | 6.9922652e-05 |
| 1,499 | Efficient Searching with Linear Constraints (Extended Abstract) | 1998 | PODS | 0.00011643887 |
| 4,613 | Filter Trees for Managing Spatial Data Over a Range of Size Granularities | 1996 | VLDB | 6.0427196e-05 |
| 14,262 | A Dual Space Representation for Geometric Data | 1987 | VLDB | - |