Are there alternatives to inversion for finding these equations?
Why do we want to rewrite theta as 2 * pi * xi here? (What does xi_1 and xi_2 represent here?)
Could we sample on a square who have the same area and then convert it to the circle?
Why do we change r to be the square root of xi_2?
Are there generalizations of this for other shapes (e.g. in higher dimensions)?
Can we get the corresponding pdf from inversed Monte Carlo sampling?
Can we use it in a sphere?
I think we can use it in a sphere, by adding a dimensionality.
can this be applied to spherical objects