Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/22031
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dc.contributor.authorKUIJPERS, Bart-
dc.contributor.authorMOELANS, Bart-
dc.date.accessioned2016-09-15T12:49:04Z-
dc.date.available2016-09-15T12:49:04Z-
dc.date.issued2016-
dc.identifier.citationISPRS International Journal of Geo-Information, 5(9) (Art N° 152)-
dc.identifier.issn2220-9964-
dc.identifier.urihttp://hdl.handle.net/1942/22031-
dc.description.abstractWe 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.-
dc.language.isoen-
dc.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/).-
dc.subject.otherdouble-cross matrix; qualitative calculus; polyline; qualitative descriptions of polylines; trajectory and moving object bata-
dc.titleAlgebraic and Geometric Characterizations of Double-Cross Matrices of Polylines-
dc.typeJournal Contribution-
dc.identifier.issue9-
dc.identifier.volume5-
local.format.pages27-
local.bibliographicCitation.jcatA1-
dc.description.notesKuijpers, 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-
local.type.refereedRefereed-
local.type.specifiedArticle-
local.bibliographicCitation.artnr152-
dc.identifier.doi10.3390/ijgi5090152-
dc.identifier.isi000385532000005-
item.validationecoom 2017-
item.contributorKUIJPERS, Bart-
item.contributorMOELANS, Bart-
item.accessRightsOpen Access-
item.fullcitationKUIJPERS, Bart & MOELANS, Bart (2016) Algebraic and Geometric Characterizations of Double-Cross Matrices of Polylines. In: ISPRS International Journal of Geo-Information, 5(9) (Art N° 152).-
item.fulltextWith Fulltext-
crisitem.journal.eissn2220-9964-
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