上海交通大学学报

上海交通大学学报（自然版） ›› 2018, Vol. 52 ›› Issue (3): 318-323.doi: 10.16183/j.cnki.jsjtu.2018.03.010

• 学报（中文） • 上一篇    下一篇

基于Frenet标架的车门匹配

衡德正1，羊军2，李志敏1，金爱军2，金隼1   

  1. 1. 上海交通大学 上海市复杂薄板结构数字化制造重点实验室，上海 200240； 2. 吉利汽车研究院，杭州 311228
  • 出版日期:2018-03-28 发布日期:2018-03-28

Automobile Door Fitting Based on Frenet Frame

HENG Dezheng1，YANG Jun2，LI Zhimin1，JIN Aijun2，JIN Sun1   

  1. 1. Shanghai Key Laboratory of Digital Manufacture for Thin-Walled Structures, Shanghai Jiao Tong University, Shanghai 200240, China； 2. Geely Automotive Research Institute, Hangzhou 311228, China
  • Online:2018-03-28 Published:2018-03-28

摘要： 为提高车门匹配的质量，首先从扫描点云提取边界轮廓，进行傅里叶级数拟合，以曲线论中Frenet标架为基础，求解曲线任意点处的单位切矢与副法矢，借鉴Hausdorff距离的概念，构建匹配质量的目标函数，将车门匹配表示为车门与侧围空间位置的优化，最后采用差分进化算法，全局搜索匹配优化的最佳变换参数，并结合车门匹配实例进行验证.结果表明，所提出的方法能显著改善车门匹配的一致性.

关键词: 车门-匹配, 傅里叶级数拟合, Frenet标架, Hausdorff距离

Abstract: In order to improve the fitting quality, firstly, contours are extracted from scanning data points to fit Fourier series, then unit tangent and binormal can be got at any point based on Frenet frame of curve theory, and the objective function of fitting quality referencing Hausdorff distance can be constructed. The global optimal transform parameter can be found based on differential evolution. Effectiveness of the method is demonstrated by one practical door-fitting example. Results indicate that the proposed method can significantly improve the fitting consistency and improve automobile dimension quality.

Key words: automobile door-fitting, Fourier series fitting, Frenet frame, Hausdorff distance

中图分类号: