C# · 12月 31, 2021

c# – 二进制数组的Akima插值

假设我有一个双打的数组,使用 Akima interpolation来抽取这个系列的好算法是什么?我很愚蠢地将该数学描述转化为代码. // values is an array of doubles// idx is the index of the left-hand value for the current interpolation// t is the normalized parameter between values[idx] and values[idx+1]// Don’t worry about array bounds,I’ll handle that separately.public double InterpolateAkima(double[] values,int idx,double t){ …?}解决方法 对我对 another SO question的答复的转载和扩展,被关闭,作为这个问题的重复 – 正如关于这个问题的评论所建议的那样.

Akima的原始论文:
“基于本地程序的插值和平滑曲线拟合的新方法”,ACM 17,4(1970),589-602

http://www.leg.ufpr.br/lib/exe/fetch.php/wiki:internas:biblioteca:akima.pdf

C实现

https://github.com/ampl/gsl/blob/master/interpolation/akima.c

C#实现

https://gist.github.com/dreikanter/3526685

Delphi实现(参见程序BuildAkimaSpline in delphi / src / spline3.pas)

http://www.alglib.net/translator/re/alglib-2.6.0.delphi.zip

Akima的Fortran 66实现

http://cran.r-project.org/web/packages/akima/

Fortran 90实现

http://miyoshi.googlecode.com/svn-history/r72/trunk/common/common.f90

Java实现

https://commons.apache.org/proper/commons-math/jacoco/org.apache.commons.math3.analysis.interpolation/AkimaSplineInterpolator.java.html

对于AutoCAD 2d-Polylines的Lisp实现“

http://autocad.xarch.at/code/candido/akima.lsp

Matlab实现

http://www.mathworks.se/matlabcentral/fileexchange/1814-akima-interpolation

Pascal实现(program description)

http://jean-pierre.moreau.pagesperso-orange.fr/Pascal/akima_pas.txt

Python实现

http://www.lfd.uci.edu/~gohlke/code/akima.py.html

VB6实现(请参阅vb6 / src / spline3.bas中的子程序BuildAkimaSpline)

http://www.alglib.net/translator/re/alglib-2.6.0.vb6.zip

http://www.koders.com/cpp/fid1393B9D668316C1700966643DE0609660B9CB13A.aspx?s=%22Brian+Smith%22