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Title: | Algebraic and Geometric Characterizations of Double-Cross Matrices of Polylines | Authors: | KUIJPERS, Bart MOELANS, Bart |
Issue Date: | 2016 | Source: | 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 | Keywords: | double-cross matrix; qualitative calculus; polyline; qualitative descriptions of polylines; trajectory and moving object bata | Document URI: | http://hdl.handle.net/1942/22031 | e-ISSN: | 2220-9964 | DOI: | 10.3390/ijgi5090152 | ISI #: | 000385532000005 | Rights: | © 2016 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC-BY) license (http://creativecommons.org/licenses/by/4.0/). | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2017 |
Appears in Collections: | Research publications |
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