Presentation
Geometric dilation of closed planar curves: a new lower bound
Author/s | Ebbers-Baumann, Annette
Grüne, Ansgar Klein, Rolf |
Publication Date | 2004 |
Deposit Date | 2017-03-02 |
Published in |
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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( ... 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. |
Citation | Ebbers-Baumann, A., Grüne, A. y Klein, R. (2004). Geometric dilation of closed planar curves: a new lower bound. En 20th European Workshop on Computational Geometry, Sevilla. |
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