基于B样条插值法的曲线光滑处理技术及应用

The Technology and Application of Curve Smoothing Based on B-spline Interpolation

曲线的光滑处理技术在许多领域得到了广泛的应用,其常用方法是将平面上欲连接的点作为控制多边形的顶点,通过相应的数学变换,得到曲线上的点。而为了更准确地表现曲线,通常希望光滑后的曲线能经过这些点。文章介绍了通过B样条插值法使曲线经过平面已知点的方法及其在计算机上的实现,通过实验得到了较好的效果。

The curve smoothing technology has been widely used in many areas. The commonly used method is to treat the plane points as the polygon vertex,through the corresponding mathematical transform,obtain the curve's points. But in order to accurately perform curve,people hope the smoothing curve pass the original points. The paper introduces the method by which the curve passed the original points through B-spline interpolation. Through the experimental on computer,the result is satisfactory.