二维高斯曲面拟合matlab代码
时间: 2023-04-01 10:00:53 浏览: 133
以下是二维高斯曲面拟合matlab代码:
function [z,coeff] = gauss2Dfit(x,y,data,guess)
% x,y: 1D arrays of x and y coordinates
% data: 2D array of z values
% guess: initial guess for fitting parameters [Amp, x, sigmax, y, sigmay, theta]
[x,y] = meshgrid(x,y);
xdata = [x(:),y(:)];
% Define the 2D Gaussian function
gauss2D = @(x,Amp,x,sigmax,y,sigmay,theta) Amp*exp(-.5*((x(:,1)-x).^2/sigmax^2 + (x(:,2)-y).^2/sigmay^2)) .* ...
exp(-1i*theta*(x(:,1)-x).*(x(:,2)-y)/(sigmax*sigmay));
% Define the sum of squares error function
sse = @(coeff) sum(abs(data(:)-gauss2D(xdata,coeff(1),coeff(2),coeff(3),coeff(4),coeff(5),coeff(6))).^2);
% Perform the fit
options = optimset('MaxFunEvals',10000,'MaxIter',10000);
coeff = fminsearch(sse,guess,options);
% Evaluate the fitted function at each point
z = gauss2D(xdata,coeff(1),coeff(2),coeff(3),coeff(4),coeff(5),coeff(6));
z = reshape(z,size(data));
end