help on min, max, meshgrid functions to plot MED boundary in pattern recognition

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What is the relationship of using min, max and meshgrid functions to plot the MED contour of two classes. I hope my question is clear...... thanks
%%Computing the classifiers
step = 0.2; % The lower this is the smoother the contours.
x = min([samples_a(:,1);samples_b(:,1)])-1:step:max([samples_a(:,1);samples_b(:,1)])+1;
y = min([samples_a(:,2);samples_b(:,2)])-1:step:max([samples_a(:,2);samples_b(:,2)])+1;
[X1, Y1] = meshgrid(x,y);
x = min([samples_c(:,1);samples_d(:,1);samples_e(:,1)])-1:step:max([samples_c(:,1);samples_d(:,1);samples_e(:,1)])+1;
y = min([samples_c(:,2);samples_d(:,2);samples_e(:,2)])-1:step:max([samples_c(:,2);samples_d(:,2);samples_e(:,2)])+1;
[X2, Y2] = meshgrid(x,y);
% Plotting the MED boundaries
contour(X1,Y1,MED1, [0, 0], 'Color', 'magenta', 'LineWidth', LINE_WIDTH);

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