We introduce a novel algorithm to perform event-driven simulations of hard rigid bodies of arbitrary shape, that relies on the evaluation of the geometric distance. In the case of a monodisperse system of uniaxial hard ellipsoids, we perform molecular dynamics simulations varying the aspect-ratio X0 and the packing fraction . We evaluate the translational Dtrans and the rotational Drot diffusion coefficient and the associated isodiffusivity lines in the -X0 plane. We observe a decoupling of t...