Divide a surface based on its curviture

Hi network ...

Can we divide a surface based on its curvature so that the flat parts of the surface get less dense divisions, while the curvy parts get denser division proportionate with their curvature degree? I am trying to get a division effect that is similar to an organic tissue which distributes denser fiber in the curvy parts, and vise verse. Many thanks

Replies to This Discussion

Permalink Reply by djordje on October 14, 2012 at 6:56am

Zayad, I am a grasshopper beginner, so this is far away from my knowledge level.
I still tried to play a little bit with this interesting problem.

It probably has mistakes and is not correct, but maybe it will help you, who knows.

Attachments:

surface curvature.3dm, 54 KB
surface curvature.gh, 20 KB

Permalink Reply by Igor on October 14, 2012 at 12:42pm

May be it help you...

Subdivision by curvature

Surface regions by curvature

Attachments:

Subdivide by Curvature.gh, 16 KB
IsoCurved Regions.gh, 14 KB

Permalink Reply by Zayad Motlib on October 15, 2012 at 11:03pm

Thanks Djordje, Your definition is working beautifully. Although I feel it can be simplified, but have not worked out yet how.

Igor, the images are looking great, especially the first one. However I could not figure out how to achieve these localised divisions. One of your definitions, SubdividebuCurviture, did not work. I am using GH v 0.9.0014. The HoopSnake component onward all colored in orange, as they seems they not getting data.

Would you please let me know why is that. many thanks.

Permalink Reply by Igor on October 16, 2012 at 1:29am

Hoopsnake is a recursive component. Double Click on it and in the opened panel click Start (a circular arrow). The logic of definition is simple. On a surface the array of points is distributed. Curvature is measured in each point. If average value of curvature more than the set threshold, a surface subdivided on 4 parts and all repeats. When average value of curvature becomes less threshold the iterations is stop. The less value of a threshold - the more splittings and longer time of calculations . Do not forget to Reset the counter(on the panel) before new calculation and after open definition file.

Permalink Reply by Zayad Motlib on October 16, 2012 at 12:02pm

This is a very smart way to do it Igor. Thanks.

I have not used Hoopsnake before. Seems it has a great potential.

How about your other definition, the IsoCurveRegions. This does not seem to subdivide the surface based on curvature, or am I missing something here?

Permalink Reply by Igor on October 16, 2012 at 12:42pm

In the IsoCurveRegions definition surface subdivided on the rectangular grid of subsurfaces which join in a polysurfaces (regions) with identical curvature (within any tolerance).

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