克里金插值matlab代码

% 克里金插值示例

clc;

clear;

% 生成模拟数据

x = linspace(0, 10, 11);

y = linspace(0, 10, 11);

X, Y\] = meshgrid(x, y); Z = sin(sqrt(X.\^2 + Y.\^2)) + 0.1 \* randn(size(X)); % 设置克里金参数 nugget = 0.1; % 块金值 range = 1; % 范围 sill = 1; % 基台值 azimuth = 0; % 方位角 % 计算距离矩阵 D = pdist2(cat(3, X(:), Y(:)), cat(3, X(:), Y(:))); D = D / range; % 计算半方差矩阵 V = nugget + (sill - nugget) \* exp(-D); % 计算权重矩阵 W = V .\* ones(size(D)); for i = 1:size(D, 1) W(i, i) = sum(W(i, :)) - W(i, i); end % 克里金插值 \[\~, I\] = max(W); Z_pred = Z(I) + (Z(I) - Z(I(I))) \* (1 - exp(-D(I))); % 绘制结果 figure; surf(X, Y, Z, 'FaceColor', 'b'); hold on; surf(X, Y, Z_pred, 'FaceColor', 'r'); title('克里金插值示例'); xlabel('X'); ylabel('Y'); zlabel('Z'); legend('原始数据', '插值结果');