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|Title: ||Algebraic and Geometric Characterizations of Double-Cross Matrices of Polylines|
|Authors: ||Kuijpers, 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.
|ISI #: ||000385532000005|
|Type: ||Journal Contribution|
|Validation: ||ecoom, 2017|
|Appears in Collections: ||Research publications|
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|Published version||832.86 kB||Adobe PDF|
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