contour lines on the surface plot

How to plot a surface with its contour lines drawn on it?

this image is an example of what I mean:

Answer 1

[Star Strider]

Try something like this —

[X,Y,Z] = peaks(50);                                        % Example Surface

figure
surf(X,Y,Z, 'EdgeColor','none')                             % Surface Plot
hold on
contour3(X,Y,Z,10, '-k', 'LineWidth',1.5)                   % Add Contours
hold off
grid on
colormap('jet')
shading('interp')
view(30,45)

See the documentation on surf and contour3 for details.

Make appropriate changes to get the desired result.

.

Answer 2

[Masa]

for those who need the same plot but with discrete colors (corresponding to the levels of the contour plot):

% surface data to plot
[X,Y,Z] = peaks(50);
% plot surface
surf(X,Y,Z);
shading('interp');
hold on;
% plot contours
contourLevelsNum = 9;
contour3(X,Y,Z,contourLevelsNum,'k');
hold off;
colormap(jet(contourLevelsNum+1));
cb = colorbar;
% correct position of ticks in the color bar
[zDataMin, zDataMax] = bounds(Z(:));
caxis([zDataMin,zDataMax]);
set(cb,'Ticks',linspace(zDataMin,zDataMax,contourLevelsNum+2));
view(30,45);