How to find intersecting points

If i have a shere X^2 + Y^2 + Z^2 = R^2 and plane X + Y + Z + d = 0;

This plane cuts sphere, so circle is formed..

Then in MATLAB is it possible to find all possible intersecting 3D points of sphere and plane. Which function is used..?

[Walter Roberson]

"all intersecting 3D points" could be an infinite number, such as the circle. Are you looking for the points of intersection or for a formula that describes the points ?

[Lalit Patil]

Thanks for your interest.. I am looking for formula or matlab function that will give all infinite points of that intersecting circle..

Answer 1

[Sachin Ganjare]

Refer link below:

http://www.csse.uwa.edu.au/~pk/research/MatlabFns/Projective/circleintersect.m

Hope it helps!!!

[Lalit Patil]

No,this is not the thing sachin that i want.. I have a single shere of unit radius, and so many planes.. If i take one plane and it cuts to sphere then there will be one circle, I know only the radius of circle and height of it from sphere origin.. So, i have to find all intersecting points of sphere and plane that forms circle..