Curvature Maps for the example case. Curvature maps of a manually optimised 6 beam configuration, a 5, 6, and 7 beam direction optimised configuration, and a 11 field configuration consisting of the union of the 5 BDO and 6 BDO configurations. The CM values were mapped onto a sphere for 5000 rays which sample all feasible directions of incidence. Left column: cranial view, second column: caudal view, third column: frontal view. The black excision corresponds to beam angles that were excluded due to couch/gantry collisions. Blue sectors correspond to a CM-value of zero, red and yellow regions display zones of conflicts between target objectives and normal tissue constraints. The colour scale is equivalent for all rows. Beam directions are given as red dots.