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Multidimensional access methods
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Indexing the positions of continuously moving objects
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R-trees: a dynamic index structure for spatial searching
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The X-tree: An Index Structure for High-Dimensional Data
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Evaluating probabilistic queries over imprecise data
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Using sets of feature vectors for similarity search on voxelized CAD objects
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Querying Imprecise Data in Moving Object Environments
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Indexing multi-dimensional uncertain data with arbitrary probability density functions
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Indexing spatiotemporal archives
The VLDB Journal — The International Journal on Very Large Data Bases
Exact indexing of dynamic time warping
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Reverse kNN search in arbitrary dimensionality
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Efficient search for the top-k probable nearest neighbors in uncertain databases
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Reverse k-nearest neighbor search in dynamic and general metric databases
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Boosting spatial pruning: on optimal pruning of MBRs
Proceedings of the 2010 ACM SIGMOD International Conference on Management of data
Boosting spatial pruning: on optimal pruning of MBRs
Proceedings of the 2010 ACM SIGMOD International Conference on Management of data
Efficient probabilistic reverse nearest neighbor query processing on uncertain data
Proceedings of the VLDB Endowment
Inverse queries for multidimensional spaces
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A visual evaluation framework for spatial pruning methods
SSTD'11 Proceedings of the 12th international conference on Advances in spatial and temporal databases
Efficient methods for finding influential locations with adaptive grids
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A safe zone based approach for monitoring moving skyline queries
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Spatial inverse query processing
Geoinformatica
Reverse-k-Nearest-Neighbor join processing
SSTD'13 Proceedings of the 13th international conference on Advances in Spatial and Temporal Databases
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Fast query processing of complex objects, e.g. spatial or uncertain objects, depends on efficient spatial pruning of objects' approximations, which are typically minimum bounding rectangles (MBRs). In this paper, we propose a novel effective and efficient criterion to determine the spatial topology between multi-dimensional rectangles. Given three rectangles R, A, and B, in a multi-dimensional space, the task is to determine whether A, is definitely closer to R, than B. This domination relation is used in many applications to perform spatial pruning. Traditional techniques apply spatial pruning based on minimal and maximal distance. These techniques however show significant deficiencies in terms of effectivity. We prove that our decision criterion is correct, complete, and efficient to compute even for high dimensional databases. In addition, we tackle the problem of computing the number of objects dominating an object o. The challenge here is to incorporate objects that only partially dominate o. In this work we will show how to detect such partial domination topology by using a modified version of our decision criterion. We propose strategies for conservatively and progressively estimating the total number of objects dominating an object. Our experiments show that the new pruning criterion, albeit very general and widely applicable, significantly outperforms current state-of-the-art pruning criteria.