Euclidean Signature Curves

Euclidean Signature Curves
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欧几里得签名曲线

DOI:
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发表时间:
2012
影响因子:
2
通讯作者:
M. Hickman
M. Hickman
中科院分区:
数学4区
文献类型:
--
作者:
M. Hickman

文献摘要

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众所周知,通过欧几里德变换相关联的两条平面曲线具有相同的特征曲线。最近穆索和Nicolodi(J. Math. Imaging维斯. 35:68-85,2009)给出了具有相同欧几里得签名曲线的非全等曲线的示例。在本文中,我们展示了如何构建所有的平面曲线类C3具有给定的签名曲线。
It is well known that two planar curves that are related by a Euclidean transformation possess the same signature curve. Recently Musso and Nicolodi (J. Math. Imaging Vis. 35:68–85, 2009) gave examples of non-congruent curves that possess the same Euclidean signature curve. In this paper we show how to construct all planar curves of class C3 that have a given signature curve.