When can a freely moving sphere escape from a ‘cage’ defined by a set of impassible coordinates?

Posted by RGrey on Stack Overflow See other posts from Stack Overflow or by RGrey
Published on 2010-04-22T22:40:09Z Indexed on 2010/04/22 22:43 UTC
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computational-geometry

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geometry

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algorithms

Hopefully there are some computational geometry folks here who can help me out with the following problem -

Please imagine that I take a freely moving ball in 3-space and create a 'cage' around it by defining a set of impassible coordinates, Sc (i.e. points in 3-space that no part of the diffusing ball is allowed to overlap). These points reside within the volume, V(cage), of some larger sphere, where V(cage) >> V(ball).

Provided the set of impassible coordinates, Sc, is there a computationally efficient and/or nice way to determine if the ball can ever escape the cage?

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