三次样条插值 Cubic spline interpolation 考虑一些点 a=x_0<x_1<...<x_n=b ,一个三次样条插值多项式满足: S(x) 是一个三次多项式,在每一对相邻节点 [x_j,x_{j+1}],j=0,1,...,n-1 上写作 S_j(x) 且形如: a_j + b_j(x − x_j) + c_j(x − x_j)^2 + d_j(x − x_j)^3\tag{
This step shows how to apply 'natural' cubic spline interpolation to the functionf2(x)=((x−2)+)3,and plot the error. The code below computes the 'natural' spline interpolant with an alternative argument syntax that is equivalent to the 'variational' argument: using 'second' specifies tha...
// Try slope (spline is already computed at this point, see above code example) float[] slope = spline.EvalSlope(xs); // Same xs as first example above string slopePath = @"..\..\spline-wikipedia-slope.png"; PlotSplineSolution("Cubic Spline Interpolation - Wikipedia Example - Slope",...
参考三次样条插值(Cubic Spline Interpolation)及代码实现(C语言) #define S_FUNCTION_NAME cubic #define S_FUNCTION_LEVEL 2 #include "simstruc.h" #include "malloc.h" //方便使用变量定义数组大小 static void mdlInitializeSizes(SimStruct *S) { /*参数只有一个,是n乘2的定点数组[xi, yi]: * [ x1...
This step shows how to apply 'natural' cubic spline interpolation to the function f2(x)=((x−2)+)3, and plot the error. The code below computes the 'natural' spline interpolant with an alternative argument syntax that is equivalent to the'variational'argument: using'second'specifies thatcs...
Hall, CA, Meyer, WW (1976) Optimal error bounds for cubic spline interpolation. J. Approx. Theory 16: pp. 105-122Hall, C.A., Meyer, W.W.: Optimal error bounds for cubic spline interpolation. J. Approx. Theory 16 (2), 105–122 (1976). ISSN 0021-9045. : http://dx.....
无人驾驶路径规划技术(1)-Cubic Spline曲线 2、Cubic Spline曲线求解 已知: a) n+1个数据点 , i = 0, 1, …, n; b) 每一分段都是三次多项式函数曲线; c) 节点达到二阶连续; d) 左右两端点处特性(自然边界,固定边界,非节点边界) 根据已知点求出每段样条曲线方程中的系数,即可得到曲线方程。
样条插值是一种工业设计中常用的、得到平滑曲线的一种插值方法,三次样条又是其中用的较为广泛的一种。本篇介绍力求用容易理解的方式,介绍一下三次样条插值的原理,并附C语言的实现代码。 1. 三次样条曲线原理 假设有以下节点 1.1 定义 样条曲线 是一个分段定义的公式。给定n+1个数据点,共有n个区间,三次样条...
样条插值是一种工业设计中常用的、得到平滑曲线的一种插值方法,三次样条又是其中用的较为广泛的一种。本篇介绍力求用容易理解的方式,介绍一下三次样条插值的原理,并附C语言的实现代码。 1. 三次样条曲线原理 假设有以下节点 1.1 定义 样条曲线 是一个分段定义的公式。给定n+1个数据点,共有n个区间,三次样条...
General Spline Interpolation If you want to interpolate at sites other than the breaks and/or by splines other than cubic splines with simple knots, then you use the spapi command. In its simplest form, you would say sp = spapi(k,x,y); in which the first argument, k, specifies the ...