Area-Preserving Parameterizations for Spherical Ellipses

For the numerical tests, we consider a disk with radius 2 at distance of 3 from the origin. We also consider different rotations of the disk over its center, so it forms an angle θ with the direction to the origin. Specifically, we consider the rotation from 0 to π/2 radians, since due to symmetry all the other possible rotations are equivalent. The computed values are collected in Table S1, where it can be observed that all the numerical values agree.