Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I have a set of points $P$ on the surface of a sphere of radius $R$. I wish to change the radius of the sphere to $R_2 = c*R_1$, where $c$ is some positive real number. Using Cartesian coordinates, how do I map the set of points $P$ to the surface of the new sphere such that the distance between the points remains proportionally the same?

Please assume that we know the point $p_s$ at the center of the sphere. We can set $p_s = (0,0,0)$.

share|improve this question
add comment

1 Answer

up vote 0 down vote accepted

$(x,y,z) \mapsto (cx,cy,cz)$ (assuming the spheres are both centered at the origin)

share|improve this answer
    
Thanks I didn't know if this was a bias-free way of doing things. –  user65106 Mar 5 '13 at 10:27
    
Not sure what you mean by "bias", but this mapping will keep distances proportional. –  bubba Mar 5 '13 at 11:00
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.