Given a view frustum and a sphere, how do I exactly determine whether or not the sphere intersects the frustum? The typical way of checking a sphere against a frustum finds the signed distance of the sphere center from each frustum plane, but this isn't an exact test and will sometimes fail:
One method is to split the frustum geometry into triangles and test each triangle against the sphere for an intersection but this is slow.
Can SAT be used with a sphere? Are there any other faster methods?