Curvature estimation of point model is the basic work of the point geometry processing , which plays an important role in the follow-up works, such as point clouds simplification and feature extraction, etc. Based on radial basis functions (RBF), an algorithm is presented for effectively estimating curvatures on point-sampled model in this paper. Firstly, the nearest neighbors of each sampled point are quickly found by using kD-tree. Then, the local implicit surface of sampled point that approximates its nearest neighbors is reconstructed based on RBF. Finally, the curvatures of sampled point are estimated by applying the classical differential geometry theory to each implicit surface and their application is given in the point clouds simplification. Some experimental results demonstrated that the method could accurately estimate the curvatures on point sampled model and be effectively applied.
NETL
NSTL
万方数据
维普
