To achieve a discrete density plot with overlapping circles of different colors, you can use the scatter function in MATLAB. This code generates random latitudes and longitudes and plots them as discrete circles with a radius of 7 meters. The circles that overlap will have different colors. Note that the distance function used here is part of the Mapping Toolbox, so you may need to find an alternative implementation if you don't have the toolbox. Here's an example code snippet:
% Generate random latitudes and longitudes
lat = rand(100, 1) * 180 - 90;
lon = rand(100, 1) * 360 - 180;
radius = 7;
figure;
for i = 1:numel(lat)
% Calculate the distance between each point and all other points
distances = distance(lat(i), lon(i), lat, lon);
% Find the indices of points within the radius
indices = find(distances <= radius);
% Plot the points within the radius with different colors
scatter(lon(indices), lat(indices), 'filled');
hold on;
end
xlim([-180 180]);
ylim([-90 90]);
% Set the aspect ratio to equal
daspect([1 1 1]);
grid on;
colorbar;
title('Discrete Density Plot');
xlabel('Longitude');
ylabel('Latitude');
Hope this helps!
