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Quadtrees as an Abstract Domain

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


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
DOI/Identification number: 10.1016/j.entcs.2010.09.008
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: 29 May 2019 09:18 UTC
Resource URI: (The current URI for this page, for reference purposes)
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