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 |
|---|---|---|---|---|
| 620 | Constraint Programming and Database Languages: A Tutorial | 1995 | PODS | 0.00019005954 |
| 2,970 | Variable Independence and Aggregation Closure | 1996 | PODS | 7.7971058e-05 |
| 5,715 | Measuring Infinite Relations (Extended Abstract) | 1995 | PODS | 5.356394e-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 | 0.0032169493 |
| 5 | The K-D-B-Tree: A Search Structure for Large Multidimensional Dynamic Indexes | 1981 | SIGMOD | 0.0018397217 |
| 6 | The R*-tree: An Efficient and Robust Access Method for Points and Rectangles | 1990 | SIGMOD | 0.0016162015 |
| 24 | The R+-Tree: A Dynamic Index For Multi-Dimensional Objects | 1987 | VLDB | 0.00083378538 |
| 56 | Direct Spatial Search on Pictorial Databases Using Packed R-trees | 1985 | SIGMOD | 0.00065631356 |
| 856 | Querying Constraints | 1990 | PODS | 0.00015892437 |
| 1,034 | Redundancy in Spatial Databases | 1989 | SIGMOD | 0.00014534274 |
| 2,003 | Indexing for Data Models with Constraints and Classes (Extended Abstract) | 1993 | PODS | 9.8126082e-05 |
| 4,742 | Efficient Spatial Access To A Data Base | 1982 | SIGMOD | 5.9588592e-05 |
| 4,793 | Toward Practical Constraint Databases | 1993 | VLDB | 5.9164359e-05 |
| 7,284 | A Population Analysis for Hierarchical Data Structures | 1987 | SIGMOD | 4.7764316e-05 |
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Semantically Similar Papers
| Overall Rank | Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 4,407 | Filtering with Approximate Predicates | 1998 | VLDB | 6.2133426e-05 |
| 4,382 | Rectangle-Efficient Aggregation in Spatial Data Streams | 2012 | PODS | 6.2386853e-05 |
| 8,011 | Constraint-Based Query Optimization for Spatial Databases | 1991 | PODS | 4.6065603e-05 |
| 2,053 | Selectivity Estimation in Spatial Databases | 1999 | SIGMOD | 9.6728745e-05 |
| 8,201 | Efficient Geometry-based Similarity Search of 3D Spatial Databases | 1999 | SIGMOD | 4.5599694e-05 |
| 8,810 | Spatial Priority Search: An Access Technique for Scaleless Maps | 1991 | SIGMOD | 4.4442316e-05 |
| 3,543 | Approximation Techniques for Spatial Data | 2004 | SIGMOD | 6.9917053e-05 |
| 1,502 | Efficient Searching with Linear Constraints (Extended Abstract) | 1998 | PODS | 0.00011643406 |
| 4,612 | Filter Trees for Managing Spatial Data Over a Range of Size Granularities | 1996 | VLDB | 6.0484423e-05 |
| 14,248 | A Dual Space Representation for Geometric Data | 1987 | VLDB | - |