Grasshopper

algorithmic modeling for Rhino

From the attached (unordered) point cloud, reconstruct this single nurbs surface:

Native GH only, fewest components wins.

Parameters allowed: number 10 and plane YZ.

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If it looks too easy, try the second cloud (ghafé2) and generate this surface:

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Winner: Andrew

Honorary wacky horse: Danny

Views: 1442

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Hmm, I might be pushing the parameters limitation a little bit with these, you be the judge. Attached are 3 attempts.. only one works with the second point set. 

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I didn't want overusing of parameters to deal with the problem, so 1 more parameter is ok.

Your definitions are close to mine, which also uses the fact that the shape is convex to sort points.

(convex is a hint).

ahh, that was a big hint. 

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Nice, let see if someone manages to get a shorter definition.

Mine is 21 components (including the 3 parameters), working on the second set.

Yours wins for the first set, good using of X to replace branches directly (although you can add a few more components to avoid this nasty shift).

15 components, strict about parameters, works on either point set.

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Hehe, clever optimization, the plane rotation gives correctly oriented hulls, so you can use directly the indices of points on the hull.

Here was my solution.

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Ah nice, clever to use seam on the convex hull itself. 

Here's my wacky effort

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Interesting approach !

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