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hlewin
07-23-2013, 04:35 PM
Hello!
I've got a few 3d-models which aren't drawn very cleanly - that is: There are some faces which are never visible from any point of view - as for example two intersecting spheres.
Having given up googling for an answer I was searching for a clean way to remove the hidden faces but didn't come to a "clean" (that is: mathematically correct) solution.
Such a solution would mean to find all triangles for which it is impossible to cast a ray from anywhere of it's surface to a point sufficiently far away without intersecting any other triangle.
Having thought about this this would form an (in-)equation system that contains different equations as well as inequalities: First one knows the ray is originated on the triangle to test for invisibility:

P = A + a*AB + b*AC , a>=0, b>= 0, a+b <= 1
and the ray cast from it

R = P + c * D
may not intersect with any triangle

T = Q + s*S + r*R, s+r <= 1, s>=0, r>= 0.
which leads to:

R != T, for any (valid) a,b,c,D,T (in all other triangles).

Can this be solved efficiently? Is there software performing perfect non-realtime face removal?

aqnuep
07-23-2013, 05:09 PM
If you know that the visible faces that "hide" the invisible faces form a closed mesh then the problem is simply reduced to a "point in concave primitive" issue which you'll be able to easily find efficient algorithms for. If the mesh has "holes" then it is a bit trickier though, but definitely solvable efficiently.

hlewin
07-23-2013, 09:45 PM
Hmm. Is there software - eg. Modeling-Tools - available that can do such model-cleanup?

EDIT: It has been some time since I looked into the test-Version of 3DS-Max and that was not a feature I searched for.

cireneikual
07-24-2013, 08:33 AM
You could use Bullet Physics along with its included convex hull decomposer.