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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/21223

Title: Algebraic and geometric characterizations of double-cross matrices of polylines
Authors: Kuijpers, Bart
Moelans, Bart
Issue Date: 2015
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. To end, we identify the transformations of the plane that leave the double-cross matrix of all polylines in the two-dimensional plane invariant.
Notes: Submitted to a journal
URI: http://hdl.handle.net/1942/21223
Category: R2
Type: Research Report
Appears in Collections: Research publications

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