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Geometric dilation of closed planar curves: a new lower bound

 

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Opened Access Geometric dilation of closed planar curves: a new lower bound
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Author: Ebbers-Baumann, Annette
Grüne, Ansgar
Klein, Rolf
Date: 2004
Document type: Presentation
Abstract: Given any simple closed curve C in the Euclidean plane, let w and D denote the minimal and the maximal caliper distances of C, correspondingly. We show that any such curve C has a geometric dilation of at least arcsin( w D ) + p ( w D ) 2 − 1.
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URI: http://hdl.handle.net/11441/55107

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