摘要
求解点到参数曲线的最小距离常常用一般的搜索算法。针对搜索算法的稳定性和有效性通常不高的问题,基于参数曲线的几何特性,将求最小距离转化为方程求解问题,应用了区间牛顿法来求解方程。研究结果表明,区间牛顿法是一个全局收敛的方程求根算法,具有较高的稳定性。
Searching algorithm is popularly used for solving the problem how to compute the minimum distance from a point to a parametric curve.Aiming at the poor stability and the low efficiency of the searching algorithm,based on the geometric characteristics of the parametric curve,the problem of finding the minimum value was changed into the problem of finding roots of an equation.Interval Newton method was adopted to solve the equation.The results indicate that Interval Newton method is a global convergence algorithm,and it is very stable.
出处
《机电工程》
CAS
2010年第1期82-84,共3页
Journal of Mechanical & Electrical Engineering
关键词
参数曲线
最小距离
区间算术
区间牛顿法
parametric curve
minimum distance
interval arithmetic
interval Newton method
