My objective is the following: I know the parameters of a 3d sphere S, e.g. radius and center, and I know a set of points E on the sphere which forms a polygon. I need to find an eq. which describes all points inside this spherical polygon. I'm very unsure what the best way would be to proceed.
Edit: Application if this would be available: Triangulate the sphere surface without the spherical polygon and stop at the polygon's edges.
Edit: Not necessarily it needs to be an equation. A strategy would be also useful.