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Extracting hepatic vasculature from 3D imagery is important for diagnosis of liver disease and planning liver surgery. In this paper we propose to segment vessels from liver CT images using a 3D graph-cuts based method that utilizes probabilistic intensity information and surface smoothness as constraints. A semi-automatic graph-based technique is then employed to efficiently separate the hepatic vessel systems. The complete vascular analysis method has been evaluated on 6 liver CT datasets using manual segmentation as the reference and showing that the method is reasonable robust to parameter choice and gives results of similar accuracy to previous methods in a time-efficient manner.