How do I find intersection of a straight line and a surface?
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I have a surface generated via 'fit' function and a straight line which intersects the surface, how do i find this intersection?
Thanks
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Answers (1)
Matt J
on 31 Dec 2017
Edited: Matt J
on 1 Jan 2018
One way would be to use fzero. If the parametric equations for your line are L(t)=L0+t*D, the t that gives the intersection could be obtained as,
t_intersection = fzero(@(t) objective(t,L0,D,fitobj), t0)
function difference=objective(t,L0,D,fitobj)
L=L0+t*D;
x=L(1); y=L(2); z=L(3);
difference = z-fitobj(x,y);
end
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