Back to papers
A Dual Space Representation for Geometric Data
Summary: Dual space representation for polyhedral data: objects are algebraic sums of convex cells, each cell encoded as a vector of halfspace intersections; vertices are ignored. Set operations decompose into vector computations plus a garbage-collection pass that prunes empty cells, enabling vertex-free geometric data management.
(summarized by gpt-5-nano on Feb 09 2026)
- Paper ID
- 7834
- Venue
- VLDB
- Year
- 1987
- Pagerank
- -
- Overall Rank
- 14,262 | 0.88%
- DOI
-
-
Incoming Non-self Citations Over Time
No non-self incoming citations found for this paper in this database.
Incoming Citations (Sorted by Pagerank)
Showing 0 of 0 citing papers.
| Rank |
Citing Paper |
Year |
Venue |
Pagerank |
Outgoing Citations (Sorted by Pagerank)
Showing 0 of 0 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank |
Cited Paper |
Year |
Venue |
Pagerank |
Semantically Similar Papers
| Overall Rank |
Paper |
Year |
Venue |
Pagerank |
| 8,376 |
Adaptive Sampling for Geometric Problems over Data Streams |
2004 |
PODS |
4.5277777e-05 |
| 2,465 |
Fast Set Intersection in Memory |
2011 |
VLDB |
8.7344475e-05 |
| 4,379 |
Rectangle-Efficient Aggregation in Spatial Data Streams |
2012 |
PODS |
6.2326895e-05 |
| 1,499 |
Efficient Searching with Linear Constraints (Extended Abstract) |
1998 |
PODS |
0.00011643887 |
| 6,950 |
A GPU-friendly Geometric Data Model and Algebra for Spatial Queries |
2020 |
SIGMOD |
4.8845195e-05 |
| 12,506 |
Efficient Query Processing on Unstructured Tetrahedral Meshes |
2006 |
SIGMOD |
4.1905499e-05 |
| 8,200 |
Efficient Geometry-based Similarity Search of 3D Spatial Databases |
1999 |
SIGMOD |
4.5556029e-05 |
| 12,579 |
A characterization of first-order topological properties of planar spatial data (Extended abstract) |
2004 |
PODS |
4.1905499e-05 |
| 9,753 |
Minimum Coresets for Maxima Representation of Multidimensional Data |
2021 |
PODS |
4.2856385e-05 |
| 5,469 |
Separability of Polyhedra for Optimal Filtering of Spatial and Constraint Data |
1995 |
PODS |
5.4895279e-05 |