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Surface Reconstruction with Feature Preservation based on Graph-cuts

A novel and fast surface reconstruction method is proposed aiming to preserve features. The effectiveness of the weighted minimal surface model E ( S ) is examined in the tetrahedral mesh used in this paper. A variation of the model with curvature E c ( S ) is proposed for feature preservation. The straightforward iterative approach is ﬁrstly presented as well as its disadvantages. A more efﬁcient and robust method is then proposed for the curvature minimization. The supremum and inﬁmum of minima of E ( S ) are obtained as two curvature estimations. Two estimations are merged into a new graph, the min-cut of which is a very close approximation to the global minimum of E C ( S ) . Various examples show the effectiveness and the efﬁciency.