提出了非均匀三次 B 样条曲线插值的双边尺度化 Jacobi-PIA 算法.该算法将双边尺度化Jacobi迭代法与渐进迭代逼近方法相结合,最终得到一系列逐次逼近给定数据点的非均匀三次 B样条曲线.数值算例表明,双边尺度化Jacobi-PIA算法的收敛速度优于Jacobi-PIA算法.
Bilateral Scaling Jacobi-PIA Algorithm for Non-uniform Cubic B-Spline Interpolation
A bilateral scaling Jacobi-PIA algorithm for non-uniform cubic B-spline interpolation is proposed.The algorithm combines the bilateral scaling Jacobi iteration method with the progressive iterative approximation method,and finally obtains a series of non-uniform cubic B-spline curves that successively approximate the given data points.Numerical examples show that the convergence rate of the bilateral scaling Jacobi-PIA is faster than that of traditional Jacobi-PIA algorithm.
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