How can I obtain the curved lines on the surface of 'surf' plot which generate the XY plane projections in 'surfc'?

Consider the following code:

f=@(x,y) (x.^2-y.^2)./(x.^2+y.^2); 
[X,Y]=meshgrid(linspace(-1,1)); 
Z=f(X,Y); 
surfc(X,Y,Z)

How can I replace the edge lines on a surface project on the XY plane with lines that run along the 'surf' plot generated, and which when projected in the XY plane, give the lines given by 'surfc'?

Answer 1

[MathWorks Support Team]

The curved lines along the 'surf' plot can be obtained for the case above by modifying and executing the code as below

f=@(x,y) (x.^2-y.^2)./(x.^2+y.^2); 
[X,Y]=meshgrid(linspace(-1,1)); 
Z=f(X,Y);

[M,~] = contour(X,Y,Z);
x = M(1,:);
y = M(2,:);
z = f(x,y);
figure
surf(X,Y,Z), hold on
lims = axis;
scatter3(x,y,z, 'filled', 'MarkerFaceColor', 'r'), hold off
axis(lims)