I have a set of given vectors, I want to find a rotation matrix to convert them to vectors belong to surface of a cone with vertex is origin(vectors with the same slant angle but different tilt angles). Is there any body know what is the solution?
I think that for each i, R*Li=Vi make 3 equations, for i=1:N, it makes 3*N equation. Rotation matrix equavalent to 3 variables, Li (i=1:N) has N+1 variables (since slant angle s is the same). Logically, there is more number of equations than number of varialbes, then there is solution to find Li and R from Vi with i=1:N. But I can not do that.