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基于预估误差补偿的NURBS曲线插补算法

任杰青 刘凯 赵东标

任杰青, 刘凯, 赵东标. 基于预估误差补偿的NURBS曲线插补算法[J]. 机械科学与技术, 2015, 34(8): 1201-1205. doi: 10.13433/j.cnki.1003-8728.2015.0811
引用本文: 任杰青, 刘凯, 赵东标. 基于预估误差补偿的NURBS曲线插补算法[J]. 机械科学与技术, 2015, 34(8): 1201-1205. doi: 10.13433/j.cnki.1003-8728.2015.0811
Ren Jieqing, Liu Kai, Zhao Dongbiao. An Interpolation Algorithm for NURBS Based on Predicted Error Compensation[J]. Mechanical Science and Technology for Aerospace Engineering, 2015, 34(8): 1201-1205. doi: 10.13433/j.cnki.1003-8728.2015.0811
Citation: Ren Jieqing, Liu Kai, Zhao Dongbiao. An Interpolation Algorithm for NURBS Based on Predicted Error Compensation[J]. Mechanical Science and Technology for Aerospace Engineering, 2015, 34(8): 1201-1205. doi: 10.13433/j.cnki.1003-8728.2015.0811

基于预估误差补偿的NURBS曲线插补算法

doi: 10.13433/j.cnki.1003-8728.2015.0811
基金项目: 

南京航空航天大学基本科研业务费项目(NS2013049)、国家自然科学基金项目(51175261)及高等学校博士学科点专项科研基金项目(20123218110020)资助

详细信息
    作者简介:

    任杰青(1989-),硕士研究生,研究方向为机电一体化和数控,renjieqing100@126.com

    通讯作者:

    刘凯,副教授,硕士生导师,liukai@nuaa.edu.cn

An Interpolation Algorithm for NURBS Based on Predicted Error Compensation

  • 摘要: 针对传统NURBS曲线插补算法计算量大、耗时多的问题,提出基于预估误差补偿的NURBS曲线预估-校正插补算法。该算法能够以简单的线性运算代替复杂的求导运算,有效降低了计算的复杂度,提高了计算效率。并能根据曲线曲率变化趋势对预估参数值进行补偿,使预估参数值更接近实际值。为了解决传统校正公式收敛速度慢的问题,提出基于割线法的校正公式。该校正公式为超线性收敛,有效减少了迭代计算的次数。仿真结果表明:该算法的计算量小,可操作性强,稳定性好,可靠性高。能够对插补产生的速度波动进行有效控制,满足实时插补的要求。
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出版历程
  • 收稿日期:  2013-11-06
  • 刊出日期:  2015-08-05

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