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Subject: Re: Intersection of two 3D parametric curves
Date: Thu, 29 Jan 2009 18:44:01 +0000 (UTC)
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"dfd invl" <73213@mt2009.com> wrote in message <glsr2n$nmt$1@fred.mathworks.com>...
> .....
> Hmm I to having similar problem.
> .....

  Perhaps one way to simplify this problem is to realize that any three-dimensional intersection of the two parametric curves also represents an intersection of the projection of the curves on, say, the x-y plane.  Therefore all you have to do is find all the x-y plane intersections and check each one to see if the two corresponding z values are equal.  This should work whether the problem is being done analytically or numerically.  Of course if there are points of the curve that are oriented orthogonally to the x-y plane, there could be difficulties there.

Roger Stafford