Integral Parametric Surface Reconstruction Method Based on Differential Manifold and Non-Uniform Rational B-Spline

Abstract

A reconstruction method based on differential manifold and non-uniform rational B-spline is proposed to improve the reconstruction performance of massive point complex surface models. First, this method is simplified based on the Hausdorff distance of feature points. Second, in order to completely reconstruct the model and avoid the complex splicing of non-uniform rational B-spline, the regular domain of non-uniform rational B-spline is extended to differential manifolds, and the basis functions of the control vertices are established by using the shortest distance. Finally, the element decomposition of the differential manifold is calculated through the normalized basis functions, composite element decomposition, and control vertices to achieve the final surface model. The experiment results show that the proposed method has high reconstruction efficiency and accuracy for arbitrary topological surfaces.