参考官方文档:
cubic spline的基本概念:
定义:Spline interpolation is a method of interpolation where the interpolant is a piecewise-defined polynomial called "spline"
计算过程:A is a tridiagonal matrix (a band matrix of bandwidth 3) of size N=n+1. The factorization algorithms (A=LU) can be simplified considerably because a large number of zeros appear in regular patterns. The Crout method has been used: 1) Solve LZ=B
计算已知点两端范围外的点:It is possible to compute the interpolated vector for x values outside the input range (xq<x(1); xq>x(n)). The coefficients used to compute the y values for xq<x(1
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