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Separability of Polyhedra and a New Approach to Spatial Storage (Extended Abstract)  (Make Corrections)  (11 citations)
Alexander Brodsky, Catherine Lassez
Principles and Practice of Constraint Programming



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Abstract: ) Alexander Brodsky Catherine Lassez I.B.M. Thomas J. Watson Research Center P.O. Box 704 Yorktown Heights, NY 10598 Efficient storage and access methods for large amounts of spatial objects are key issues in Geographic Information Systems (GIS), Computer Aided Design (CAD), VLSI design and also Linear Constraint Databases (LCDBs) [BJM92], a new application domain in which objects are convex multidimensional polyhedra represented as conjunctions of linear constraints over real variables.... (Update)

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.... that only finite objects are stored [3, 16, 18] Some solutions are based on the approximation of the extension of generalized tuples [7, 11, 20] by bounded rectangular boxes; such approximation requires a refinement step to filter the tuples satisfying the query. Such...

.... intervals [2, 13, 16] Some other solutions are based on the approximation of the extension of generalized tuples (which must be closed) [5, 18] and on the use of some typical spatial data structures (such as R trees and R trees [11, 17] The aim of this paper is to...

Cited by:   More
Indexing Constraint Databases by Using a Dual Representation - Bertino Catania.. (1999)   (Correct)
Constraint-Generating Dependencies - Baudinet, Chomicki, Wolper (1995)   (Correct)
Separability of Polyhedra for Optimal Filtering of.. - Brodsky, Lassez.. (1995)   (Correct)

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0.4:   Efficient Processing Of Spatial Queries In Line Segment Databases - Hoel, Samet (1991)   (Correct)
0.3:   VCME: A Visual Interactive Environment for Computational .. - Chen, Smith, Wang, Saran   (Correct)
0.2:   A Qualitative Comparison Study of Data Structures for Large Line.. - Hoel (1992)   (Correct)

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0.1:   Toward Practical Query Evaluation for Constraint Databases - Brodsky, Jaffar, Maher (1997)   (Correct)
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Related documents from co-citation:   More   All
9:   Towards Practical Constraint Databases (context) - Brodsky, Jaffar et al. - 1993
8:   Constraint Query Languages - Kanellakis, Kuper et al. - 1990
8:   Indexing for data models with constraints and classes - Kanellakis, Ramaswamy et al. - 1993

BibTeX entry:   (Update)

A. Brodsky, C. Lassez. Separability of Polyhedra and a New Approach to Spatial Storage. in [42]. http://citeseer.ist.psu.edu/70183.html   More

@inproceedings{ brodsky93separability,
    author = "Alexander Brodsky and Catherine Lassez",
    title = "Separability of Polyhedra and a New Approach to Spatial Storage (Extended Abstract)",
    booktitle = "Principles and Practice of Constraint Programming",
    pages = "7-11",
    year = "1993",
    url = "citeseer.ist.psu.edu/70183.html" }
Citations (may not include all citations):
765   trees: A dynamic index structure for spatial searching (context) - Guttman - 1984
516   tree: An efficient and robust access method for points and r.. (context) - Beckmann, Kriegel et al. - 1990
233   tree: A dynamic index for multidimensional objects - Sellis, Roussopoulos et al. - 1987
90   Direct spatial search on pictorial databases using packed R-.. (context) - Roussopoulos, Leifker - 1985
80   A new approach to rectangle intersections (context) - Edelsbrunner - 1983
48   Toward Practical Constraint Databases (context) - Brodsky, Jaffar et al. - 1992
47   Redundancy in spatial databases (context) - Orenstein - 1989
19   Counting and reporting intersections of d-ranges (context) - Six, Wood - 1982
16   Efficient structures for geometric data management (context) - Gunther - 1988
16   A population analysis for hierarchical data structures (context) - Nelson, Samet - 1987
12   Adaptive grids for geometric operations (context) - Franklin - 1984
10   Storing a collection of polygons using quadtrees (context) - Samet, Webber - 1985
4   Efficient spatial access to a data base (context) - Tamminen - 1981
3   An introduction to PSQL: A pictorial structured query langua.. (context) - Roussopoulos, Leifker - 1984
1   Sigma 2 Criteria for Assesing and Comparing Spatial Database.. (context) - Nievergelt



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Indexing for Data Models with Constraints and Classes - Kanellakis, Ramaswamy.. (1993)   (Correct)
Reinforcement Learning for Planning and Control - Dean, Basye, Shewchuk (1993)   (Correct)
An Interactive 3D Toolkit for Constructing 3D Widgets - Zeleznik, Herndon..   (Correct)

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