A visibility sorting method coherently computes a visibility ordering of a collection of moving objects seen by a moving camera in an animated graphics scene. The method detects whether an object occludes other objects. Objects that form an occlusion cycle are grouped together in the ordering. Objects are represented using convex polyhedra to facilitate occlusion testing. A fast occlusion test determines whether the spatial and angular extents of the convex polyhedra overlap. An exact occlusion test detects collisions between convex polyhedra and the silhouettes of the convex polyhedra.