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3D shape reconstruction of the liver from its 2D cross-sections improves the surgeon's knowledge of liver anatomy and makes even more complicated liver surgery safe, which can be employed to aid clinical practice as an alternative tool. In this paper, a new method for 3D reconstruction of liver is proposed. It mainly consists of three steps: liver auto-segmentation, surface reconstruction and surface rendering. Firstly, an effective automatic segmentation method based on graph-theory is proposed for extracting liver. Then, NMC algorithm based on a combination of MC and Cuberille algorithms is applied to accomplish surface reconstruction of liver. Finally, surface rendering of liver is implemented by 3D graphics library OpenGL. The method mentioned above is being tested on numerous experiments of 3D reconstruction of liver and results are promising.