C# alglib数值分析库相关疑问，求解

Question

alglib数值分析库中“spline3dbuildtrilinearv“方法的原理解释？

/*************************************************************************
This subroutine builds trilinear vector-valued spline.

INPUT PARAMETERS:
X - spline abscissas, array[0..N-1]
Y - spline ordinates, array[0..M-1]
Z - spline applicates, array[0..L-1]
F - function values, array[0..M*N*L*D-1]:
* first D elements store D values at (X[0],Y[0],Z[0])
* next D elements store D values at (X[1],Y[0],Z[0])
* next D elements store D values at (X[2],Y[0],Z[0])
* ...
* next D elements store D values at (X[0],Y[1],Z[0])
* next D elements store D values at (X[1],Y[1],Z[0])
* next D elements store D values at (X[2],Y[1],Z[0])
* ...
* next D elements store D values at (X[0],Y[0],Z[1])
* next D elements store D values at (X[1],Y[0],Z[1])
* next D elements store D values at (X[2],Y[0],Z[1])
* ...
* general form - D function values at (X[i],Y[j]) are stored
at F[D*(N*(M*K+J)+I)...D*(N*(M*K+J)+I)+D-1].
M,N,
L - grid size, M>=2, N>=2, L>=2
D - vector dimension, D>=1

OUTPUT PARAMETERS:
C - spline interpolant

-- ALGLIB PROJECT --
Copyright 26.04.2012 by Bochkanov Sergey
*************************************************************************/

Answer 1

这个和 C# 没什么关系，关键是算法本身，这个算法是 三次spline插值方法，自己找数值分析的书去看。