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Subject: Re: Triangulation using sphere intersects
Date: Tue, 27 Jan 2009 10:58:01 +0000 (UTC)
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Im back on this personal project and let me first say Thank you very much for your advice Roger, it has been very helpful indeed.

It has occured to me that if I had 2 spheres which intersected I'd get a circle, and 3 spheres which intersected I could resolve this down to 2 points, however in coding this problem, I could just find all circle intersects between all pair of intersecting spheres, regardless if there are 2 or 3 intersecting spheres,  and then at a later time around, find intersects between these circles (where 3 spheres had intersected) in order to resolve this down to the 2 points?  As opposed to treating the case where 2 spheres or 3 sheres intersect, separately.  This is correct right?

Working on the above assumption, I have pretty much managed to calculate the centre, and the 2 orthogonal vectors, ie all the information I need to depict for all sphere pair-intersecting circles, in separate rows. So I now have thousands of these circles with the required information in separate rows, and am now having difficulty with a) using plot3 to plot these many many circles together in 3d space and b) attempting to find potential intersections betweens these circles so as to resolve further, some of these circles into just 2 points for increased accuracy, which arise when 3 or more spheres intersect.

Thank you