Geometric dilation of closed planar curves: A new lower bound

نویسندگان

  • Annette Ebbers-Baumann
  • Ansgar Grüne
  • Rolf Klein
چکیده

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 ) + √

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تاریخ انتشار 2004