# Convex Hull on a Spherical Surface

Is there any convex hull algorithm that can be extended to non-euclidean metric, such as the geodesic distance on the surface of a sphere?

Supposing that there is an open hemisphere containing the points, essentially any 3D convex hull algorithm will work by the addition of an extra point at infinity. But it's probably more elegant to take the centroid in $$\mathbb{R}^3$$, project to the surface, and use it as a centre around which to apply your favourite wrapping algorithm.