A Non-Intersecting R-Tree

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Date

2021-05-12

Authors

Langendoen, Kyle Jacob

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Publisher

University of Waterloo

Abstract

Indexes for multidimensional data based on the R-Tree are popularly used by databases for a wide range of applications. Such index trees support point and range queries but are costly to construct over datasets of millions of points. We present the Non-Intersecting R-Tree (NIR-Tree), a novel insert-efficient, in-memory, multidimensional index that uses bounding polygons to provide twice as efficient point queries, and equivalent range query performance while indexing data up to an order of magnitude faster. The NIR-Tree leverages non-intersecting bounding polygons to reduce the number of nodes accessed during queries, compared to existing R-family indexes. Our experiments demonstrate that inserting into a NIR-Tree is 27x faster than the ubiquitous R*-Tree, and 1.2x faster than the Revised R*-Tree. Furthermore, point queries in the NIR-Tree complete 2.2x faster than in the R*-Tree, and 3.1x faster than in the Revised R*-Tree, while range queries execute just as quickly.

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Keywords

index, multidimensional, tree, R-Tree, bounding polygon, bounding rectangle, range query, point query, spatial

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