C＃使用立方平滑样条曲线 [英] C# To use Cubic Smoothing Splines

问题描述

你好！



我必须使用样条方法来平滑我的数据曲线。

我需要平滑数据x和数据z。



我使用此链接： C＃Cubic Spline Interpolation [ ^ ]



我试图将它集成到我的代码中。



这里涉及的代码部分通过三次样条插值:(在Void Start中）

  //  使用样条线 
 
x =  new  浮 [CPT-1]; 
 y =  new   float  [cpt-1]; 
 
  for （ int  i =  0 ; i <  cpt-1; i ++）{
  for  （ int  j =  1 ; j <  names.Length + 1; j ++）{
 
x [i] = nv_data [j-1] .positions [i] .x;  //  数据位置保存在文本文件中 
y [i] = nv_data [j-1] .positions [I] .Z;  //  保存在文本文件中的数据位置 
 
} 
} 
 
  int  n =  20 ; 
 xs =  new   float  [n]; 
 
  float  stepSize =（x [x.Length  -   1 ]  -  x [ 0 ]）/（n  -   1 ）; 
 
  for （ int  i =  0 ; i <  n; i ++）
 
 {
 xs [i] = xs [ 0 ] + i * stepSize; 
} 
 
  //  这两行不正确：出现CubicSpline和FitAndEval红色 
 CubicSpline spline =  new  CubicSpline（）; 
  float  [] ys = spline.FitAndEval（x，y，xs）; 

我试图在Void Start之前声明它：

 公共 CubicSpline样条; 
 
 CubicSpline spline =  new  CubicSpline（）; 
 

但这不好。



Ps：我把其他有用的代码（CubicSpline，TriDiagonalMatrix，ArrayUtil）放在当前代码的相同位置。



提前谢谢你

解决方案

首先，了解背景：

http：//en.wikipedia .org / wiki / Interpolation [ ^ ]，

http://en.wikipedia.org/wiki/Smoothing_spline [ ^ ]，

http://en.wikipedia.org/wiki/Spline_%28mathematics%29 [ ^ ]，

http://en.wikipedia.org/wiki/Spline_interpolation [ ^ ]，

http://en.wikipedia.org/wiki/Discrete_spline_interpolation [ ^ ]。



对于实现，例如，此CodeProject文章： C＃Cubic Spline Interpolation [ ^ ]。



需要更多？请参阅： http://bit.ly/1I8rda8 [ ^ ]。

-SA

Hello !

I have to use the spline method to smooth my data curve.
I need to smooth data x and data z.

I use this link : C# Cubic Spline Interpolation[^]

I tried to integrate it in my code.

Here the part of the code which is concerned by the cubic spline interpolation : (in Void Start)

// To use Spline

x = new float[cpt-1];
y = new float[cpt-1];

for (int i = 0; i < cpt-1; i++) {
    for (int j = 1; j < names.Length+1; j++) {

        x[i] = nv_data[j-1].positions[i].x; // Data positions saved in text file
        y[i] = nv_data[j-1].positions[i].z; // Data positions saved in text file

    }
}

    int n = 20;
    xs = new float[n];

    float stepSize = (x[x.Length - 1] - x[0]) / (n - 1);

    for (int i = 0; i < n; i++)

    {
        xs[i] = xs[0] + i * stepSize;
    }

// These two lines are not correct : CubicSpline and FitAndEval appear in red
CubicSpline spline = new CubicSpline();
float[] ys = spline.FitAndEval(x, y, xs);

I tried to declare it before Void Start :

public CubicSpline spline;

CubicSpline spline = new CubicSpline ();

But it's not good.

P-s : I put the other useful codes (CubicSpline, TriDiagonalMatrix, ArrayUtil) at the same location of this current code.

Thank you in advance

解决方案

First, learn the background:
http://en.wikipedia.org/wiki/Interpolation[^],
http://en.wikipedia.org/wiki/Smoothing_spline[^],
http://en.wikipedia.org/wiki/Spline_%28mathematics%29[^],
http://en.wikipedia.org/wiki/Spline_interpolation[^],
http://en.wikipedia.org/wiki/Discrete_spline_interpolation[^].

For implementation, for example, this CodeProject article: C# Cubic Spline Interpolation[^].

Need more? Please see: http://bit.ly/1I8rda8[^].

—SA

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