Geometric dilation of closed planar curves: New lower bounds (Q883237)
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scientific article; zbMATH DE number 5161071
| Language | Label | Description | Also known as |
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| English | Geometric dilation of closed planar curves: New lower bounds |
scientific article; zbMATH DE number 5161071 |
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Geometric dilation of closed planar curves: New lower bounds (English)
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4 June 2007
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Structural results on geometric dilation (detour) of simple planar closed curves [cf. \textit{A. Ebbers-Baumann, R. Klein, E. Langetepe} and \textit{A. Lingas}, Comput. Geom. 27, No. 2, 123--134 (2004; Zbl 1045.65017)] are presented. The authors provide lower bounds for the dilation of closed curves in terms of their geometric properties, and prove that the circle is the only closed curve with smallest possible dilation.
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computational geometry
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convex geometry
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convex curves
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dilation
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halving pair transformation
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detour
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