curvature based point distribution for 2d soronoi patterns

hello ,

just a quick question :

i am trying to create a curvature based voronoi surface
let´s say somehow similar to a crocodiles head where the fragile curvy parts
have much more tiny tiles and the big flat part fewer.

http://www.photos8.com/view/nile_crocodile_head-other.html

i was wondering if there is a way to subdivide the surface according to it,s curvature .

additionaly i was wondering how to create the 2d voronoi on the surface because by using the uv space of the surface leads to a deformation of the vornoi

so i possible using the surfacepoints to create 3d vornonoi ( un didi -qhull ) and then intersect the 3d voronoi with the surface because this might then also work on mesh objects which i would need to create a smooth objects .

any help would be great

chris

Replies to This Discussion

Permalink Reply by enrique soriano on September 28, 2010 at 12:03pm

Hi Chris!
I think it's not such a quick question.
It's rather a big topic.
I think you could check Daniel Piker videos using Kangaroo to spread points over a surface.(delish)
After an overall distribution, you could "weigh" or modify dynamically the spring stiffness according to local curvature, and get your desired pointset.
Then Voronoi meshing.

Permalink Reply by Evan C on September 28, 2010 at 6:56pm

I'm interested in this too.... you may want to check my definition in this post:

http://www.grasshopper3d.com/forum/topics/divide-curve-by-curvature...

where i've divided a 2D curve by curvature - just as you've said, with more pts where the curvature is greater.

You could easily expand the definition to work on a set of extracted UV lines from your surface - but it won't be pretty.

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