When rendering a scene that includes a complex object made up of many individual primitives, rather than processing each primitive making up the object in turn, a bounding volume which surrounds the complex object is generated and the scene is then processed using the bounding volume in place of the actual primitives making up the complex object. If it is determined that the bounding volume representation of the object will be completely occluded in the scene (e.g. by a foreground object), then the individual primitives making up the complex object are not processed. This can save significantly on processing time and resources for the scene.