Generate stl file for random spheres

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SS 2015-10-1

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https://ww2.mathworks.cn/matlabcentral/answers/246199-generate-stl-file-for-random-spheres

评论： SS 2016-2-12

Hello,

I had a look at the example in matlab documentation for generating a sphere and to export it in stl format http://nl.mathworks.com/help/symbolic/mupad_ref/export-stl.html

What is not clear to me is how do I specify radius and centre of the spheres, so that I could loop through to generate a number of random spheres and generate an stl file?

Thanks a lot.

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Answer 1

Rohit Kudva 2015-10-22

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Hi SS

The equations for a sphere centered at (m,n,p) with radius 'r' in spherical coordinate system will be

x = m + r*cos(theta)*sin(phi)
y = n+ r*sin(theta)*sin(phi)
z = p+ r*cos(phi)

Thus the code for MuPAD will look like

x:= m+r*cos(u)*sin(v): 
y:= n+r*sin(u)*sin(v): 
z:= p+r*cos(v):
filename:= NOTEBOOKPATH."sphere.stl":
export::stl(filename, [x, y, z], u = 0 .. 2*PI, v = 0 .. PI, Text)
plot(plot::SurfaceSTL(filename, MeshVisible))

Regards,

Rohit

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SS 2016-2-12

Dear Rohit,

Thanks a lot. I waited for 3 weeks and gave up. Just by chance I saw your response now. It works perfectly.

I am now struggling to generate multiple spheres in a single stl file, because m, n, p and r are not accepting vectorial entries.

Moreover, my interest is to develop at least about 10,000 random spheres for which I already have coordinates and radii. Is this possible in a reasonable amount of time in mupad or should I have to use some other method.

Could you please help me with these questions?

Thank you for your time, Regards, SS

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