摘要
提出一种修正的插补算法,理论上分析了三次B样条曲线递推公式的泰勒展开式一阶、两阶求导在插补周期一定的情况下插补增量只与插补速度有关,通过改变插补增量就可以达到修正三次B样条曲线的目的。经具体实例在MATLAB7.0上验证该算法是正确的,可以提高插补运算效率,节约计算时间,实现样条曲线的快速插补。
A fixed interpolation algorithm was presented in this paper.A theoretical analysis of the three B spline curve recursive formula of Taylor development of first-order,derivation of two order in the interpolation cycle under the condition of certain interpolation increment only and interpolation speed.The article achieved the purpose of correcting the three B spline curve of interpolation by changing the interpolation increments.The algorithm is correct through specific examples in Matlab7.0 verifies.It can both improve the interpolation operation efficiency and save the calculation time,which realize the spline curve interpolation.
出处
《制造技术与机床》
北大核心
2013年第2期140-143,共4页
Manufacturing Technology & Machine Tool
基金
"高档数控机床与基础制造装备"科技重大专项(2010ZX040001-181)