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[Closed] Topology optimization

Hi! Is there a way to optimize the points of a surface, depending on how curved the surface is? it has to be done without losing the geometry of the surface, so the relax modifier is not good enough. I have to preserve the exact number of vertices, and their connections to each other as well.
where the model is more curved, the vertices have to be closer, and on the flat parts, they have to be wider.

thanks:
sassom

1 Reply

I can’t give you the code, but there is a property of a surface called the curvature, which is a mathematical entity Gauss discovered which is dT/ds, where T is the tangent vector and s the parametric specification of the surface. Roughly it is the reciprocal of the tangential circle radius. Beyond this the maths gets a little hairy but I’m sure there are some approximations you can introduce. I imagine the project you envisage is not for the faint hearted or the amateur coder…