Grasshopper

algorithmic modeling for Rhino

curvature of mesh

Hi all,

I want to relax a mesh using kangaroo and then use the curvature for remeshing. As the mesh is build out of either planar elements (or quad elements which curvature I assume do not necessarily represent the curvature of the corresponding surface).

My first idea was to look at a vertex and the (for quad elements) four lines going out from this point and find the angles between these, but this won't give me the gauss curvature.

Any ideas?

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Replies to This Discussion

Permalink Reply by Daniel Piker on September 28, 2014 at 10:24am

What if you triangulated the mesh first, then measured the Gaussian curvature (using the angle defect) per vertex?

If there are non-planar quads then it is true that which of the 2 possible triangulations is used will slightly affect the value, but I imagine this would average out over the surrounding vertices.

Permalink Reply by Timo Harboe Nielsen on September 28, 2014 at 10:37am

Thanks for the reply Daniel.

I will try it out

Permalink Reply by Nik Willmore on April 26, 2015 at 4:02pm

I'm asking *how* to obtain this curvature value via Python, preferably without any triangulation of quads, here:

http://www.grasshopper3d.com/forum/topics/curvature-of-mesh-vertex-...

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