Thinnest part of a 3D shape formed of tessellations

55 Views Asked by Pranav Khade At 20 October 2024 at 22:36

I have a group of tessellations forming a 3D shape and I need to find the section(s) with least cross section radius in it

Following is the visual aid for understanding this problem:

Now, Assume that each rectangle in the A,B and C is a tessellation and this diagram is 3D.

I wish to find 'C' ie.. set of tessellations with least cross section radii or thinnest part of the given shape.

How do I find it? I was thinking of finding the faces closest to each other but that will fetch the tessellations inside the shape as well.

I have tried: 1. Finding convex hull (Doesnt give points in thinnest area) 2. Alpha shape (No way to find the faces on the surface)

I would appreciate any advise on this matter.

Thanks

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