curvature of mesh

by Timo Harboe Nielsen

Sep 28, 2014

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?

  • up

    Daniel Piker

    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.

    2

    Sep 28, 2014