带形状调整参数的二次B样条曲线（Ⅰ）

摘要

带形状调整参数的B样条曲线的构造已成为计算机辅助几何设计中的热点问题.为了提高曲线调整的自由度,构造了带形状调整参数的控制顶点变换矩阵,生成一组与原有控制顶点相关的新的控制顶点,可建立一种带形状调整参数的二次B样条曲线;研究曲线端点处参数变化对曲线形状的影响.%The method of generating quadratic B-spline curves with multiple adjustable shape parameters has become a hot issue in Computer Aided Geometric Design.In order to boost up the flexibility to adjust the curve,we constructed the transformation matrix with adjustable parameters,Generate a set of new control points associated with the original control points.Based on the new control points,a method of generating quadratic B-spline curves with multiple shape parameters;in the endpoint of curve,changing the parameters on shape of the curve.