1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Inverse map

  1. Sep 16, 2009 #1
    1. The problem statement, all variables and given/known data

    Let S = {(x,y,z) be an element of R3: x2+y2+z2=1} be the unit sphere

    I have a map that takes coordinates from the xy plane to points on the sphere.
    This map is given by:

    σ(u,v) = (2u, 2v, u2+v2-1)/1+u2+v2

    Now I wish to find the inverse map:


    that is, to take points on the sphere onto the xy-plane (the stereographic projection)

    3. The attempt at a solution

    I'm really not quite sure where to start. I understand the logic behind what is asked, but mathematically, I don't quite know!
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted

Similar Threads - Inverse Date
Inverse trig functions Feb 16, 2018
Inverses in Z/mZ* Jan 31, 2018
Inverse Z transform problem Nov 20, 2017
The adjoint of the inverse Oct 22, 2017
PDF to CDF and Inverse CDF Oct 22, 2017