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基于弧长参数的高光线求解算法
  • 期刊名称:中国机械工程
  • 时间:2010.8.8
  • 页码:1981-1985
  • 分类:TP301.6[自动化与计算机技术—计算机系统结构;自动化与计算机技术—计算机科学与技术]
  • 作者机构:[1]南京航空航天大学,南京210016
  • 相关基金:国家自然科学基金资助项目(60673026;50805075); 南京航空航天大学基本科研业务费专项科研项目(NS2010138)
  • 相关项目:基于构件性能的自动铺丝路径规划基础理论与关键技术研究
中文摘要:

给出了一种基于高光线弧长参数的求解高光线新算法。把传统的通过求解曲面与平面的交线来获取高光线的方法,转变为通过求解一阶常微分方程组初值问题,提高了算法效率。利用MATLAB中的ODE45函数进行了新算法的具体计算。最后,还给出了验证该算法有效性的实例,并对算法效率作了分析。

英文摘要:

A new algorithm was presented herein to solve the highlight line,which was based on the arc-length parameterization.It transfers the traditional algorithm which uses surface-plane intersection to solve highlight lines,and improves the algorithm's efficiency.In the new algorithm highlight line was obtained by numerically solving the initial-value problems for a system of first-order ordinary differential equations.Thereby,the new algorithm can be solved by ODE45function of powerful MATLAB,which is based on adaptive 4-5-order Runge-Kutta algorithm.Finally,implementation examples were also given to demonstrate its effectiveness and its efficiency was analyzed.

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