Abstract: Based on the improvement of Taubin’s discrete curvature estimation method of triangular mesh by the adoption of area and angle weighted triangle vertex normal vector calculation formula and triangle centroid weights, a novel algorithm for triangular mesh regularization is presented. By this algorithm, good results can be achieved both in the flat regions with equable curvature changes and the feature regions with steep curvature changes of the regularized triangular meshes.

Key words: CAD/CAM, triangular mesh, regularization, vertex normal vector, discrete curvature, reverse engineering