surface from curve netwrok

Hey guys, I am trying to create a cut sphere with this kind of uv division(as shown in the flat surface) as opposed to the classic ball uv division which is what I get with all the surface tools I've tried so far, does anyone have an idea how I can achieve this?

Rhino solutions would also be welcome. I am really lost on this one. I've tried network of curves but still get the classic ball uv..

Thanks a lot

Tal

Attachments:

spheres.jpg, 157 KB

Replies to This Discussion

Permalink Reply by Guillermo Esparza on January 25, 2017 at 12:31pm

I don't get it... Do you want a partialy cut sphere?

Permalink Reply by Laurent DELRIEU on January 25, 2017 at 12:55pm

Here are 2 ways of doing that. It could be also possible to have less than a half of sphere.

Attachments:

sphere_remap_UV.gh, 19 KB

Permalink Reply by kipodi on January 25, 2017 at 2:14pm

Hey thanks a lot for your clever solution. The problem is that I want more than half a sphere.. as shown in the newly attached picture. It should be logically possible like the "surface from network of curves" but that doesn't work for it.

Permalink Reply by Laurent DELRIEU on January 25, 2017 at 2:39pm

No "problemo", I reuse what I did, put another sphere bigger and shifter it, project control points on the new bigger mesh sphere, use point deform (not a real sphere) and mesh from point (look like a sphere) and it is done.

Attachments:

sphere_remap_UV2.gh, 26 KB

Permalink Reply by kipodi on January 26, 2017 at 4:54am

may your hands be blessed Laurent:) classic.

I am wondering if there is no "pure" mathematical way of doing such an operation that would give me the true subdivision . something like a Gaussian transformation.

being a mathematician at heart, but only at heart, I lack the knowledge behind it.

Permalink Reply by Laurent DELRIEU on January 26, 2017 at 5:32am

There must be a mathematical solution for the isocurve you want. With this equation you calculate the coordinates of "n * n" points which feed Surface from point component, and U = n.

Try to search the equation on internet.

I have an idea but not yet the equation. I think I must begin with the flat surface, get each coordinate, depending of its distance from the center affect to it a new radius and an new angle.

Permalink Reply by Laurent DELRIEU on January 26, 2017 at 3:13pm

Here a more mathematic solution. Not clear what you want to control. I wanted to add a S function after range, but dit not did it.

The control points are on a sphere, but not exactly the surface. The points could be used to make a quad mesh.

I add a control for the angle => -90° = full sphere

Attachments:

sphere_remap_UV3.gh, 27 KB

Permalink Reply by Joseph Oster on January 25, 2017 at 3:58pm

Wow, very cool, thank you. I reduced the minimum 'UV steps' slider value from ten to two, which gives the fewest number of sub-surfaces. Affects the shape of one model much more than the other.

Permalink Reply by kipodi on January 26, 2017 at 4:51am

The example by Laurent explains it well.

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