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

这篇博客介绍了Cubic Spline插值的概念和在数字信号处理(DSP)中的应用。通过提供的官方文档,展示了如何使用`arm_spline_init_f32`和`arm_spline_f32`接口进行初始化和运行三次样条插值。代码示例演示了如何在C语言环境中实现这一算法,强调了输入数据的排序和大小要求。博客还涵盖了插值计算过程,包括处理超出输入范围的点的方法。
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