Apparatus including a memory device, and hardware entities, and the sub-image cell value cache, and a cache write operator is provided. At least some of the hardware entity and performs the operations, including the use of device memory and access to the device memory. Hardware entity, including 3D graphics processing circuit for displaying 3D images from the primitive object. It is separated from the device memory, cache, is provided to hold data including a sub-image cell values are buffered. The cache, instead of accessing directly to the sub-image cell values in the device memory, and access the sub-image cell values buffered in the cache, pixel processing portion of the 3D graphics circuit is connected to the 3D graphic circuit. Under the direction of the priority scheme, write operator writes to the memory device, the sub-image cell values are buffered. Priority scheme, save in the cache boundary cell values bounding the primitive one or more objects.
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