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|Title:||A triangle-based logic for affine-invariant querying of two-dimensional spatial data||Authors:||HAESEVOETS, Sofie||Issue Date:||2004||Publisher:||SPRINGER-VERLAG BERLIN||Source:||CONSTRAINT DATABASES, PROCEEDINGS. p. 52-73||Series/Report:||LECTURE NOTES IN COMPUTER SCIENCE||Series/Report no.:||3074||Abstract:||In spatial databases, incompatibilities often arise due to different choices of origin or unit of measurement (e.g., centimeters versus inches). By representing and querying the data in an affine-invariant manner, we can avoid these incompatibilities. In practice, spatial (resp., spatio-temporal) data is often represented as a finite union of triangles (resp., moving triangles). As two arbitrary triangles are equal up to a unique affinity of the plane, they seem perfect candidates as basic units for an affine-invariant query language. We propose a so-called "triangle logic", a query language that is affine-generic and has triangles as basic elements. We show that this language has the same expressive power as the affine-generic fragment of first-order logic over the reals on triangle databases. We illustrate that the proposed language is simple and intuitive. It can also serve as a first step towards a "moving-triangle logic" for spatio-temporal data.||Notes:||Limburgs Univ Ctr, Dept WNI, B-3590 Diepenbeek, Belgium.Haesevoets, S, Limburgs Univ Ctr, Dept WNI, Univ Campus, B-3590 Diepenbeek, Belgium.email@example.com||Document URI:||http://hdl.handle.net/1942/2819||ISBN:||978-3-540-22126-5||ISSN:||0302-9743||DOI:||10.1007/b98003||ISI #:||000222323700004||Category:||A1||Type:||Journal Contribution||Validations:||ecoom 2005|
|Appears in Collections:||Research publications|
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