I have points on the surface of a sphere and I need to find the cutting-plane that cuts off all points and also cuts off the minimum possible volume to do so.
There is the https://people.inf.ethz.ch/gaertner/subdir/software/miniball.html miniball lib which is very fast in finding minimum enclosing circle of points in carthesian spaces.
Is it possible to transform the given problem to carthesian space so that I can solve it using such a library?