An optimization of NURBS interpolation algorithm

摘要：

I put forward a new interpolation called Adams- Bashforth interpolation of NURBS (Non-Uniform Rational BSplines) curve in order to realize higher precision under the condition of satisfying the speed demand. IN this method, I calculated next parameter point by Adams-Bashforth equation and I used difference equation instead of derivation. I simplified and approximated the interpolation algorithm so that the speed and precision of interpolation could be ensured. Finally, we conducted simulations on this interpolation based on MATLAB and compared it with Taylor expansion algorithm so that we could prove its feasibility and correctness. We can conclude that it has a higher precision.

关键词： numerical control system NURBS curve Adams-Bashforth method interpolation algorithm

作者: Jingmeng Liu Baicheng Chen Min Liu Dong Xu Yulong Li

作者单位: School of Automation Science and Electrical EngineeringBeijing University of Aeronautics and Astrona School of Automation Science and Electrical Engineering Beijing University of Aeronautics and Astron

会议类型: 国际会议

会议名称: IEEE 10th International Conference on Industrial Informatics(第十届IEEE工业信息学国际学术会议 INDIN2012)

会议地点: 北京

会议语种:英文

页码: 316-319

在线出版日期: 2012-07-25（万方平台首次上网日期，不代表论文的发表时间）