INFLUENCE OF LOCAL CURVATURE ESTIMATION ON THE 3D MESH TOPOLOGICAL AND GEOMETRIC STABILITY

The influence of curvature estimation on the 3D mesh topological and geometric stability is considered in this paper. It can be shown that, in the case of the most commonly used methods for local curvature estimation, the nontrivial calculus of curvature can lead to mistakes and treat as noise holders of shape. Therefore, new algorithms for solving problems in every step of these processes are proposed. The proposed algorithms are simple and quick from the viewpoint of the mathematical calculations, because they assume only a few extra steps in the algorithm of curvature evaluation. Besides, the new approach provides more accurate results then other approaches, and also reduces the possibility of 3D mesh geometry damages