Length of parallel curves

Details Length of parallel curves Length of parallel curves

2007-11-11

arxiv.org/abs/0711.1670v1

Mathematics

Differential Geometry

5 pages, 2 figures

Scientific paper

We prove that the length difference between a closed periodic curve and its
parallel curve at a sufficiently small distance is proportional to the rotation
index. As an application, the rotation index of a curve could be estimated by
means of Cauchy-Crofton formula.

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