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Computer aided digital patching of the fragmented object has the great ad- vantages in efficiency, re-operation and avoiding of inadvertent damage, which is widely used in restoring and repairing of culture heritages. In this paper, we propose a uni ed framework for 3D fragmented object patching, and the contributions lies in: 1) a uni ed framework for 3D fragmented object patching consisting of 3D shape feature extraction, 3D surface region segmentation and 3D surface matching is proposed; 2) a novel geom- etry projection based 3D histogram model is proposed to extract the shape feature of 3D fragmented object robust to noise and sampling of 3D model; 3) a surface segmentation based on region dilation method is presented with the enough considering of the in uence of surface coarseness on 3D surface region segmentation instead of handling the debris with regular shape, at surface and few broken surfaces using the current algorithms; 4) a 3D surface matching based on height-map using 3D shape features directly instead of using curves of debris as match features as the current algorithms. The experiments are implemented on the simulation data and the real 3D scanning data of the fragmented object with a Roland LPX-250 3D laser scanner, and the results show that the proposed algorithm is feasible and effective.