Fairing of planar curves to log-aesthetic curves

被引：1
|
作者：
Zurita, Sebastian Elias Graiff [1 ]
Kajiwara, Kenji [1 ]
Miura, Kenjiro T. [2 ]
机构：
[1] Kyushu Univ, Inst Math Ind, 744 Motooka, Fukuoka 8190395, Japan
[2] Shizuoka Univ, Grad Sch Sci & Technol, 3-5-1 Johoku, Hamamatsu, Shizuoka 4328561, Japan
来源：
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2023年 / 40卷 / 02期
关键词：
Industrial design; Fairing; Planar curves; Log-aesthetic curves;
D O I：
10.1007/s13160-023-00567-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：1203 / 1219
页数：17
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