A memory management system for generating 3-dimensional computer images is provided. The memory management system includes a device for subdividing an image into a plurality of rectangular areas, a memory for storing object data pertaining to objects in the image which fall in each rectangular area, a device for storing the object data in the memory, a device for deriving image data and shading data for each rectangular area from the object data, a device for supplying object data for each rectangular area from the respective portion of the memory and, if the rectangular area contains objects also falling in at least one other rectangular area, also from the global list, to the deriving device, and a device for storing the image data and shading data derived by the deriving device for display. The memory includes at least one portion allocated to each rectangular area and at least one portion allocated as a global list.