组合曲线B样条插值方法研究

Research of Interpolation Algorithm with Non-uniform B Spline for Composed Line

针对一类由直线和曲线构成的组合曲线，提出一种使用非均匀B样条曲线的插值方法，使整根曲线具有统一的表达式，解决了这类曲线的插值问题。使用表明，该方法效果良好，直线部分为严格的线性函数，而直线与曲线连接处没有额外的振荡。

This paper presents a method for interpolation with non-uniform B spline for a kind of lines composed of a straight line and curved line. The results show that by using this method,the whole line can be expressed with a unified function without undesirable inflections and oscillations at the connections of the straight line with the curved line.