generate multiple positive and negative gaussian surface peaks in matlab

To generate multiple positive and negative Gaussian surface peaks in MATLAB, one approach is to create a mesh grid representing the x and y coordinates of the points in the surface. Then, for each peak, you can use the equation of a Gaussian function to calculate the corresponding z-coordinates. Here's an example code snippet to generate multiple Gaussian surface peaks:

main.m
% Define the x and y ranges
x = -5:0.1:5;
y = -5:0.1:5;

% Create the mesh grid
[X,Y] = meshgrid(x,y);

% Initialize the surface
Z = zeros(size(X));

% Define the parameters for each peak (position, amplitude, and standard deviation)
peak1 = [0, 0, 2, 1];    % [x0, y0, amplitude, sigma]
peak2 = [2, 2, -1, 0.5]; % [x0, y0, amplitude, sigma]

% Add the peaks to the surface
Z = Z + peak1(3) * exp(-((X - peak1(1)).^2 + (Y - peak1(2)).^2) / (2 * peak1(4)^2));
Z = Z + peak2(3) * exp(-((X - peak2(1)).^2 + (Y - peak2(2)).^2) / (2 * peak2(4)^2));

% Display the surface
figure;
surf(X, Y, Z);
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In this example, we create a grid of x and y coordinates using meshgrid, and then calculate the corresponding z-coordinates for each peak using the Gaussian function equation. The parameters for each peak (position, amplitude, and standard deviation) are defined in the variables peak1 and peak2.

The surf function is then used to visualize the generated surface with multiple positive and negative peaks.

Note: You can modify the parameters and add more peaks as needed to generate the desired surface.