Intersection of two hyperboloids
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Hi,
I have a question about intersection of two hyperboloids. I can easily plot them with plot3 or surf so I can clearly see the intersection of those hyperboloids(circle) but I need somehow to get only the intersection function. By that I mean values in matrix. Does anyone know how to do that ? I didnt find any solution anywhere and I couldnt come with anything good myself...
"Long story short" I need something like this http://www.mathworks.com/matlabcentral/fileexchange/11837 but in 3D for somethink else than just simple intersection of planes...
Thanks, Peter
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More Answers (3)
Matt J
on 8 Mar 2013
Edited: Matt J
on 8 Mar 2013
You could try looping over planar cross sections of the hyperboloids and apply the FEX file you referenced to their 2D cross sections. I.e., find the intersection of the 2D curves in each planar cross sections and make a cumulative record all the intersections in all the cross-sections.
You would want to loop over planes that are as perpendicular as possible (not parallel) to the plane of the intersecting circle.
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Petr
on 8 Mar 2013
1 Comment
Matt J
on 8 Mar 2013
Edited: Matt J
on 8 Mar 2013
I can't see why the analytical solution is difficult. Are the hyperboloids rotated/disaligned with the coordinate axes? If analytical solution is difficult, then how do you already know the intersection is a circle?
If you need high accuracy, I don't see how the plotting tool will help. The intersection obtained from discrete plot samples has to use some manner of interpolation, and that will cost you accuracy.
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