数字不变特征曲线
Numerically Invariant Signature Curves
摘要：
修正了E.Calabi等人提出的平面曲线的仿射和欧几里得签名的数值不变表达式。Al介绍。新的公式是有效的精细，但在其他任意分区的曲线。我们还给出了数值不变表达式的四个微分不变量参数化的三维版本的欧几里得签名曲线，即曲率，挠率和它们的衍生物相对于弧长。
英文摘要：
Corrected versions of the numerically invariant expressions for the affine and Euclidean signature of a planar curve proposed by E.Calabi et. al are presented. The new formulas are valid for fine but otherwise arbitrary partitions of the curve. We also give numerically invariant expressions for the four differential invariants parametrizing the three dimensional version of the Euclidean signature curve, namely the curvature, the torsion and their derivatives with respect to arc length.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
