Fairing of planar curves to log-aesthetic curves
Fairing of planar curves to log-aesthetic curves
复制标题
平面曲线到对数美学曲线的光顺
DOI：
10.1007/s13160-023-00567-w
复制
发表时间：
2023
影响因子：
0.9
通讯作者：
Miura Kenjiro T.
中科院分区：
文献类型：
--
作者：
Graiff Zurita Sebastian Elias;Kajiwara Kenji;Miura Kenjiro T.
提出了一种用对数美学曲线(LAC)对给定的平面曲线进行光顺的算法。我们展示了如何用7个参数唯一地刻画一般LAC段，并基于这一事实提出了一种参数逼近方法。这项工作的目的是为计算机辅助几何设计提供用于逆向工程的工具。最后，将该算法应用于汽车模型车顶三维扫描获得的数据点，给出了一个应用实例。
We present an algorithm to fair a given planar curve by a log-aesthetic curve (LAC). We show how a general LAC segment can be uniquely characterized by seven parameters and present a method of parametric approximation based on this fact. This work aims to provide tools to be used in reverse engineering for computer-aided geometric design. Finally, we show an example of usage by applying this algorithm to the data points obtained from 3D scanning a model-car roof.