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3d_visualisation

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Reyhaneh S. Ghazanfari
Reyhaneh S. Ghazanfari on 12 Jan 2016
Hello!
I have drawn a 3d surface using the surf function. I would like to visualize the 3D volume enclosed between this surf and the x-axis. Would that be possible in Matlab?
Thanks!
Reyhaneh

Accepted Answer

Mike Garrity
Mike Garrity on 12 Jan 2016
Edited: Mike Garrity on 12 Jan 2016
There are some utilities for this on the file exchange, and there is the isocaps function which works with isosurface, but there isn't a builtin utility for adding "skirts" to the surface that the surf function creates.
It's actually relatively easy to do by hand. Here's a simple example:
% Create some interesting sample data
[x,y,z] = peaks;
z = z+3;
x = x(20:end,20:end);
y = y(20:end,20:end);
z = z(20:end,20:end);
[m,n] = size(z);
% Create the original surface
surf(x,y,z);
% Create 4 surfaces around the edges
hold on
walls(1) = surf([x( 1,:); x( 1,:)],[y( 1,:); y( 1,:)],[zeros(1,n); z( 1,:)])
walls(2) = surf([x(end,:); x(end,:)],[y(end,:); y(end,:)],[zeros(1,n); z(end,:)])
walls(3) = surf([x(:, 1), x(:, 1)],[y(:, 1), y(:, 1)],[zeros(m,1), z(:, 1)])
walls(4) = surf([x(:,end), x(:,end)],[y(:,end), y(:,end)],[zeros(m,1), z(:,end)])
set(walls,'FaceColor','interp')
But this only works if all of your Z values are on one side of the origin. If they cross, you need to do something similar to what I described in this blog post about a similar 2D problem.

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