Quadtrees as an Abstract Domain

Howe, Jacob M. and King, Andy and Lawrence-Jones, Charles (2010) Quadtrees as an Abstract Domain. Electronic Notes in Theoretical Computer Science, 267 (1). pp. 182-196. (doi:https://doi.org/10.1016/j.entcs.2010.09.008) (Full text available)

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Official URL http://www.cs.kent.ac.uk/pubs/2010/3051

Abstract

Quadtrees have proved popular in computer graphics and spatial databases as a way of representing regions in two dimensional space. This hierarchical data-structure is flexible enough to support non-convex and even disconnected regions, therefore it is natural to ask whether this data-structure can form the basis of an abstract domain. This paper explores this question and suggests that quadtrees offer a new approach to weakly relation domains whilst their hierarchical structure naturally lends itself to representation with boolean functions.

Item Type:	Article
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Divisions:	Faculties > Sciences > School of Computing > Programming Languages and Systems Group
Depositing User:	Andy King
Date Deposited:	21 Sep 2012 09:49 UTC
Last Modified:	16 Dec 2013 12:44 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/30620 (The current URI for this page, for reference purposes)