Voronoi on Curved Surface

Hi everyone,

I've been trying to create a voronoi pattern on a curved surface, and ive seen a couple of example here in the forum, but none of them seem to work, I tried one of David's example, but although it was very helpful, something strange happens when I try to use it in my example (if you plug in the points into the voronoi component a lot of chaotic lines appear,

Im thinking maybe it's something easy like a flatten or something like this but seeing as im not very familiar with grasshopper could someone please help me out??

Thanks so much

Attached are both files :)

Attachments:

Voronoi1.3dm, 373 KB
Voronoi2.gh, 18 KB

Replies to This Discussion

Permalink Reply by Michael Pryor on October 15, 2012 at 12:23pm

Permalink Reply by Dedackelzucht on October 16, 2012 at 3:07am

Hey Michael,

I like your version. I solved it this way. Maybe the cell amount is better to controll this way.

Best Regards

DeDackel

Attachments:

voronoiSrf_DeDackel.gh, 5 KB
voronoiSrf_DeDackel.jpg, 261 KB

Permalink Reply by Michael Pryor on October 16, 2012 at 7:57am

and less computation :), although the 3d voronoi shape is efficient on closed rounded breps and surfaces that curve over themselves.

Permalink Reply by Dedackelzucht on October 16, 2012 at 8:00am

yeah I thougth about overcurving as well. origanlly the voronoi is the intersection of cones. They should be generated on surface uv planes and then intersected. mhhh have to think about :-)

Permalink Reply by Daniel Piker on October 16, 2012 at 8:27am

To avoid having to calculate intersections you could also triangulate, then take the dual.

Using triangle circumcenters gives the true Voronoi in the plane, but barycenters cause less problems with skinny triangles at the edges.

Because the Delaunay is planar, this wouldn't work with surfaces that curve over, but you could also just mesh the surface directly and take the dual of that.

Permalink Reply by Dedackelzucht on October 16, 2012 at 8:38am

I tried this one, but the result was not good. some triangles leave the surface like searching for a cp. What do you mean with mesh the surface directly?

Best Regards

DeDackel

Permalink Reply by Daniel Piker on October 16, 2012 at 9:04am

Do you mean like what I was referring to about circumcenters vs barycenters (the C option of the MeshDual component) ?

circumcenters: