How do I export primitive data from MuPAD Waterman plots for use in MATLAB?

I need to extract the coordinates of the vertices of the waterman polyhedron that are generated by the MuPAD "plot::waterman" command.

Answer 1

[MathWorks Support Team]

The ability to directly export this data is not available in MuPAD.

There is a workaround:

First create an example MuPAD file, 'run_waterman.mn'. Open MuPAD by typing 'mupad' at the MATLAB command prompt, and put the following commands in the MuPAD notebook file:

 contents of "run_waterman.mn":

 export::stl("C:\\TEMP\\waterman.stl", plot::Waterman(5)):

 x:=plot::STL::triangles:

 y := matrix(x):

Now close MuPAD and reopen it using the following command:

mu=mupad('run_waterman.mn');

Now run the statements inside of MuPAD by selecting in MuPAD: Notebook -> Evaluate All...

Finally, execute the following at the MATLAB command prompt:

y = mu.getVar('y');

z = num2cell(y);

z = cellfun(@double,z,'UniformOutput',false);

points = cell2mat(z(:));

The waterman points will be in the variable "points" in the code above. The code above works by writing a temporary STL file to a temporary directory. For non-windows platforms, you will need to change the path to the temporary directory.