3D Plot from point to surfaces

I have these points

Ax=2:4:14;
Ay=2:4:14;
Z=rand(4,4)+20;

I would like to plot the surface in 3D but not as a unite surface but rather multiple individual surfaces. I would like each point to be a square surface of surface area=4*4, parallel to xy axes where Ax and Ay is the centre of each square surface.

I tried the below but no luck

surf(Ax,Ay,Z)
bar3(Z,4)

Answer 1

[Star Strider]

I am not certain what you want.

This should get you started:

Ax=2:4:14;
Ay=2:4:14;

figure(1)
for k1 = 1:length(Ax)
    surf(cumsum(ones(4),1)+Ax(k1), cumsum(ones(4),2)+Ay(k1), zeros(4)+rand)
    hold on
end
hold off
grid on

[Spyros Polychronopoulos]

Thank you very much Star Strider for your answer was very helpful. But I am still missing few things:

1. only 4 surfaces are plotted. I would like all the combinations of Ax and Ay to be plotted as surf(Ax,Ay,Z) would do but I want the surfaces to be parallel to xy axes (as the ones that are plotted with your code)

2. I want them to be a certain length and width for example 4*4

Thank you in advance

[Star Strider]

Here you go:

Ax=2:4:14;
Ay=2:4:14;
N = 4;                                          % Surface Segments

figure(1)
for k1 = 1:length(Ax)
    for k2 = 1:length(Ay)
        surf(cumsum(ones(N+1),1)+Ax(k1), cumsum(ones(N+1),2)+Ay(k2), zeros(N+1)+rand)
        hold on
    end
end
hold off
grid on

[Spyros Polychronopoulos]

Thank you Star Strider!

that's it! :)

[Star Strider]

As always, my pleasure!

[Spyros Polychronopoulos]

Hi Star Strider, two minor things if they are easily done:

1. could I get rid of the grid of the surfaces. I mean the 4*4 grid each surface has.

2. could I have surfaces that they are 4.3*4.3 for example rather than 4*4?

[Star Strider]

Try this:

Ax=2:4:14;
Ay=2:4:14;
N = 4;                                          % Surface Segments
SF = 4.3;                                       % Surface Size Scale Factor

figure(1)
for k1 = 1:length(Ax)
    for k2 = 1:length(Ay)
        surf(SF/4*cumsum(ones(N+1),1)+Ax(k1), SF/4*cumsum(ones(N+1),2)+Ay(k2), zeros(N+1)+rand, 'LineStyle','none')
        hold on
    end
end
hold off
grid on

[Spyros Polychronopoulos]

Thank you

[Star Strider]

My pleasure.