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Currently, memory bandwidth has become the main bottleneck in graphics system. Reducing the memory access can reduce the power consumption and boost overall system performance. Low power technique is more important for graphics applications on hand-held or mobile device. In this paper, we propose a novel visibility driven rasterizer to reduce the memory access and operations on invisible pixels. It integrates with two-level hierarchical Z-buffer to do visibility driven rasterization. The rasterization scheme is tile-order scan-line based, and the rasterizer can smartly change the tile-size depending on the triangle size. This technique can balance the rasterization loading under different triangles. Moreover, we propose a fast visibility test algorithm to quickly reject a group of pixels within the tile. Simulation results show that the overall bandwidth reduction can be up to 60% under our test images.