Splitting and Seams

I have a polyhedral geometry, and I want to find the solid angle subtended by each of the planar faces.

I am taking the geometry, and using Pull to map it onto a sphere. I use these projected curves to split the original sphere. The area of each projected surface will be proportional to its solid angle.

When the seam of the sphere cuts through one of the segments, it splits the surface into two pieces. So if the original shape had 9 surfaces, the split sphere may have 10 or more surfaces, depending on how they lined up with the seam.

In the picture below, the red and orange surfaces should be one piece. The seam didn't go all the way through the green, so it's fine.

Is there a clever way to find these broken pieces and stitch them back together? It's easy to do by hand, but not obvious how to automate.

Attachments:

GeometryTests.gh, 9 KB

Replies to This Discussion

Permalink Reply by Simon de Vet on July 23, 2013 at 12:03pm

To avoid the seams, instead of splitting the same sphere with all the curves, I thought I'd create rotated duplicates of the sphere, so that each curve had its own sphere where the seam wouldn't get in the way.

I now have 9 spheres and 9 curves, properly aligned.

However, using the list of curves and surfaces in SrfSplit tries to split all 9 spheres with all 9 curves. I want to do a one-to-one matching (split sphere 1 with curve 1, sphere 2 with curve 2, etc). Is this possible?

Permalink Reply by Yoann Mescam (Systemiq) on July 23, 2013 at 2:00pm