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Fast intersection test

Torsten Thiele's picture
Forums: 

Given two shapes, I want to decide whether they intersect (or one is included in the other).

1. Is there a faster method for this decision problem than computing the intersection shape explicitly (like common or section)?

2. Can I exploit the fact that the shapes are polyhedral?

3. Is there a fast method to test whether a point is inside a shape (for example a polyhedron)?

Many thanks for any hints in advance,

Torsten Thiele.