标题：Research and application on NURBS curve inverse algorithm
作者：Zhao, Yu-Gang ;Cai, Tian-Ci ;Wang, Zhan-Jun ;Liu, Xin-Yu
作者机构：[Zhao, Yu-Gang ;Cai, Tian-Ci ;Wang, Zhan-Jun ;Liu, Xin-Yu ] School of Mechanical Engineering, Shandong University of Technology, Zibo, China
会议名称：2013 3rd International Conference on Mechatronics and Applied Mechanics, ICMAM 2013
会议日期：December 27, 2013 - December 28, 2013
来源：Applied Mechanics and Materials
摘要：Firstly, based on the Cox-de Boor recursive formula, random degree NURBS curve generation algorithm is given. Then, this article discusses knot vector, the weight factor's influence on NURBS and presents the determination method of knot vector and weight factor. Secondly, NURBS curve inverse algorithm is studied and the focus is on cubic NURBS curve inverse algorithm, which is widely applied in engineering. Finally, based on C++ Builder development environment, the paper completes algorithm simulation and gives the specific application examples. Examples verify the efficiency and reliability of the algorithms, which has a high practical value in the CAD/CAM. © (2014) Trans Tech Publications, Switzerland.