  In this paper we propose a method to compute a freeform reflector system for
collimating and shaping a beam from a point source. We construct these
reflectors such that the radiant intensity of the source is converted into a
desired target. An important generalization in our approach compared to
previous research is that the output beam can be in an arbitrary direction. The
design problem is approached by using a generalized Monge-Amp\`ere equation.
This equation is solved using a least-squares algorithm for non-quadratic cost
functions. This algorithm calculates the optical map, from which we can then
compute the surfaces. We test our algorithm on two cases. First we consider a
uniform source and target distribution. Next, we use the model of a laser diode
light source and a ring-shaped target distribution.
