How to plot a 3-D grid from a set of points with coordinates?

I have the following set of control points to draw the Bezier surface. I have finished plotting the surface using mesh and surf commands. However, I can not find any solution to plot those 'green grids'.

points_x1 = [0;0;0;0;1;1;1;1;2;2;2;2;3;3;3;3]; % X - coordinate of control points for the surface

points_y1 = [0;1;2;3;0;1;2;3;0;1;2;3;0;1;2;3]; % Y - coordinate of control points for the surface

points_z1 = [0;1;1;0;1;2;2;1;1;2;2;1;0;1;1;0]; % Z - coordinate of control points for the surface

Kindly help.

Answer 1

[Walter Roberson]

mesh() and surf() both permit you to pass an EdgeColor parameter as an rgb triple. The same edge color would be used for all edges.

mesh() and surf() both permit you to pass 'Marker', 'o', 'MarkerFaceColor, 'r' along with 'MarkerSize'

mesh() and surf() both construct surface() objects. The difference between mesh() and surf() is that mesh() automatically turns off FaceColor and surf() leaves it on. As you are interested in showing the faces, you would call surf()

[Manas Ranjan Pattnayak]

Sir, I have already generated the surface. I just need to show those rectangular green edges. Kindly check the image for reference. I have mentioned the co-ordinates of those red points earlier.

[Walter Roberson]

h = surf(...);
set(h, 'EdgeColor', 'g', 'Marker', 'o', 'MarkerFaceColor', 'r', 'MarkerSize', 10);

[Manas Ranjan Pattnayak]

That's fine. But the red points, that I have mentioned are not a part of the Bezier surface.

You can ignore that surface and comment on the green lines using only the co-ordinates of red points.

[Walter Roberson]

x = reshape(points_x1, 4, []);
y = reshape(points_y1, 4, []);
z = reshape(points_z1, 4, []);
hold on
h = mesh(x, y, z, 'EdgeColor', 'g', 'Marker', 'o', 'MarkerEdgeColor', 'r', 'MarkerSize', 10);
hold off

The 4 is because your points form a 4 x 4 grid of locations. To create the rectangular mesh automatically the points have to be arranged in row/column format.

[Manas Ranjan Pattnayak]

Thank you so much. I got the required plot.