How to find out the cordinates of the intersection point of a line and a surface?
2 views (last 30 days)
Show older comments
Hello
I need to find out weather a line that connect to points in a 3D situation have an intersection with a surface or not, and also report the intersection point for further steps.
Imagine I have two points A and B ( which needs to be connected) a surface z.
A : x= 0.5 y=-0.5 z=-1
B : x=-0.7 y=1 z=1.5
and the surface z is:
[x, y] = meshgrid(linspace(-1, 1));
z = y.^2 + 2*x;
"The above data are just as an example"
Thanks alot for any help on my question
0 Comments
Accepted Answer
Matt J
on 30 Jul 2019
Edited: Matt J
on 30 Jul 2019
Plug the equation for the line into the equation for the surface and use fzero to find the root. This root will give the location of the intersection.
L=@(t) A+(B-A)*t; %line equation
S= @(xyz) xyz(3)-xyz(1).^2 -xyz(2).^2; %surface equation
t_intersection = fzero(@(t) S(L(t)) ,t0 )
More Answers (0)
See Also
Categories
Find more on Get Started with MATLAB in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!