论文标题
通过毕达哥拉斯 - 大仪曲线为7度的圆弧长度保留圆弧的近似值
Arc length preserving approximation of circular arcs by Pythagorean-hodograph curves of degree seven
论文作者
论文摘要
在本文中，考虑了两个平面点的插值，即相应的切线和曲率，牙齿曲线曲线（pH）曲线的曲线为第七度，以保留弧长的长度。提出了使用复杂表示pH曲线的一般方法，并提供了圆形电弧引起的数据问题的详细分析。在几种解决方案的情况下，描述了一些最合适的标准，并给出了渐近分析。包括几个数值示例，这些示例确认了理论结果。
In this paper interpolation of two planar points, corresponding tangent directions and curvatures with Pythagorean-hodograph (PH) curves of degree seven preserving an arc length is considered. A general approach using complex representation of PH curves is presented and a detailed analysis of the problem for data arising from a circular arc is provided. In the case of several solutions some criteria for the selection of the most appropriate one are described and an asymptotic analysis is given. Several numerical examples are included which confirm theoretical results.
