Curvature Transport Method for Solving Mesh Singularities

Aiming at reducing angular and area distortions induced by 3D mesh parameterization,a curvature transport-based method is presented to determine the number of cone singularities and their positions.First,the Yamabe equation is solved to obtain the conformal scaling factors and persistence.Conformal scaling persistence can figure out the first part of cone singularities,which is used to calculate distortions of the mapping.Next,the second part of cone singularities is determined by the distortion of parameterization.The positions of cone singularities are also optimized.Finally,the optimal transport cost is solved by concen-trating curvature per vertex on cone singularities,and the positions of cone singularities are iteratively up-dated until a given threshold is satisfied.Compared with some state-of-the-art methods,the experimental results show that proposed method can efficiently reduce the distortion of parameterization.