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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/22031

Title: Algebraic and Geometric Characterizations of Double-Cross Matrices of Polylines
Authors: Kuijpers, Bart
Moelans, Bart
Issue Date: 2016
Citation: ISPRS International Journal of Geo-Information, 5(9) (Art N° 152)
Abstract: We study the double-cross matrix descriptions of polylines in the two-dimensional plane. The double-cross matrix is a qualitative description of polylines in which exact, quantitative information is given up in favour of directional information. First, we give an algebraic characterization of the double-cross matrix of a polyline and derive some properties of double-cross matrices from this characterisation. Next, we give a geometric characterization of double-cross similarity of two polylines, using the technique of local carrier orders of polylines. We also identify the transformations of the plane that leave the double-cross matrix of all polylines in the two-dimensional plane invariant.
Notes: Kuijpers, B (reprint author), Hasselt Univ, Databases & Theoret Comp Sci Res Grp, Agoralaan,Bldg D, B-3590 Diepenbeek, Belgium. bart.kuijpers@uhasselt.be; bart@moelans.be
URI: http://hdl.handle.net/1942/22031
DOI: 10.3390/ijgi5090152
ISI #: 000385532000005
ISSN: 2220-9964
Category: A1
Type: Journal Contribution
Validation: ecoom, 2017
Appears in Collections: Research publications

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