Faster compressed quadtrees.

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Bibliographic Details
Title: Faster compressed quadtrees.
Authors: de Bernardo, Guillermo1 (AUTHOR), Gagie, Travis1,2 (AUTHOR) travis.gagie@gmail.com, Ladra, Susana1 (AUTHOR), Navarro, Gonzalo3,4 (AUTHOR), Seco, Diego1,3 (AUTHOR)
Source: Journal of Computer & System Sciences. Feb2023, Vol. 131, p86-104. 19p.
Subjects: Quadtrees, Point set theory, Multicasting (Computer networks)
Abstract: Real-world point sets tend to be clustered, so using a machine word for each point is wasteful. In this paper we first show how a compact representation of quadtrees using O (1) bits per node can break this bound on clustered point sets, while offering efficient range searches. We then describe a new compact quadtree representation based on heavy-path decompositions, which supports queries faster than previous compact structures. We present experimental evidence showing that our structure is competitive in practice. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:Real-world point sets tend to be clustered, so using a machine word for each point is wasteful. In this paper we first show how a compact representation of quadtrees using O (1) bits per node can break this bound on clustered point sets, while offering efficient range searches. We then describe a new compact quadtree representation based on heavy-path decompositions, which supports queries faster than previous compact structures. We present experimental evidence showing that our structure is competitive in practice. [ABSTRACT FROM AUTHOR]
ISSN:00220000
DOI:10.1016/j.jcss.2022.09.001