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Title: Topological canonization of planar spatial data and its incremental maintenance
Authors: GEERTS, Floris 
Issue Date: 1999
Publisher: Kluwer Academic Publishers Group
Source: Polle, T. & Ripke, T. (Ed.) Fundamentals of Information Systems. 7th International Workshop on Foundations of Models and Languages for Data and Objects (FoMLaDO '98). p. 55-68.
Series/Report: Kluwer International Series in Engineering & Computer Science
Series/Report no.: 496
Abstract: It is known that to a planar spatial database, represented by a Semi-algebraic set in the plane, one can associate a structure, here called the “topological canonization”, such that two databases are topologically equivalent if and only if their topological canonizations are isomorphic. The advantage of a topological canonization is that it contains precisely the information one needs if one is only interested in topological properties of the spatial data. In this paper we represent semi-algebraic sets using plane graph structures. Canonizations are represented by plane graph structures as well (the so-called canonical structures). We discuss the basic properties of canonical structures and of canonization. We then present a method for incremental maintenance of the canonization under elementary updates on the original spatial database. Incremental maintenance takes less time than recomputing the canonization from scratch.
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ISBN: 0792384504
Type: Proceedings Paper
Appears in Collections:Research publications

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