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Editorial Team
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Editorial Team
Asked: May 20, 20262026-05-20T20:41:51+00:00 2026-05-20T20:41:51+00:00

I need to convert arbitrary triangulated 3D mesh to cloud of particles that are

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I need to convert arbitrary triangulated 3D mesh to cloud of particles that are uniformly spaced.
First thought was to try find a way to fill one 3D triangle. And then fill each triangle of mesh, removing duplicated particles on edges, but that’s just hard and too much work. I was hoping for some more-math way.

Can anyone point me to an algorithm which can help me do my task correctly… well, at least approximatively?

Thanks

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  1. Editorial Team
    Editorial Team
    2026-05-20T20:41:52+00:00Added an answer on May 20, 2026 at 8:41 pm

    There are two main options:

    • Voxelization of mesh. Easy to implement the conversion of mesh to voxels, but it’s inaccurate since uniform spacing cannot be achieved: distance between cubes can be x, x*sqrt(2) or x*sqrt(3) depending if neighbor cubes are in same plane and adjacent.

    • Poisson disk sampling on surface. Hard to implement and lack of research material and code, but mathematically very correct. Some links:

      http://research.microsoft.com/apps/pubs/default.aspx?id=135760

      http://web.mysites.ntu.edu.sg/cwfu/public/Shared%20Documents/dualtiling/index.html

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