Section 10.5 Re-paramaterizing from a domain to a 3D Range
- Jeff Pettit
The domain for the Unit Sphere is theta between zero and two pi and phi between zero and pi. Points from the rectangular domain translate to the unit sphere using the correlation of x, y and z to spherical coordinates.
Travel along each side of the rectangle (or draw circles or other plane figures) to see how they translate to the unit sphere.