编写一个克里金插值的matlab代码
时间: 2023-05-12 15:07:43 浏览: 121
好的,以下是一个简单的克里金插值的 Matlab 代码:
function [ZI] = kriging_interpolation(X,Y,Z,XI,YI)
% 计算距离矩阵
n = length(X);
D = zeros(n,n);
for i = 1:n
for j = 1:n
D(i,j) = sqrt((X(i)-X(j))^2 + (Y(i)-Y(j))^2);
end
end
% 计算半方差函数
h = max(max(D))/2;
k = 3;
gamma = zeros(n,n);
for i = 1:n
for j = 1:n
gamma(i,j) = (1/2)*((D(i,j)/h)^k)*((3*D(i,j)/h)-2);
end
end
% 计算权重矩阵
A = [gamma ones(n,1); ones(1,n) 0];
B = [Z; 0];
W = inv(A)*B;
lambda = W(1:n);
c = W(n+1);
% 计算插值值
m = length(XI);
n = length(YI);
ZI = zeros(m,n);
for i = 1:m
for j = 1:n
d = zeros(1,length(X));
for k = 1:length(X)
d(k) = sqrt((XI(i)-X(k))^2 + (YI(j)-Y(k))^2);
end
g = zeros(1,length(X));
for k = 1:length(X)
g(k) = (1/2)*((d(k)/h)^k)*((3*d(k)/h)-2);
end
ZI(i,j) = sum(lambda.*g) + c;
end
end
end
希望这个代码能够帮到你!
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