A New Approach for Reconstructed B-spline Surface Approximating to Scattered Data Points

Abstract

An algorithm for constructing B-spline surface approximating to scatted data points of artificial tooth is presented. Firstly, the scattered data points from the laser scanning equipment are regarded as input and the triangle mesh of artificial tooth are created by the circum-sphere criterion. Secondly, the vertices of the triangle mesh are mapped into a unit square of planar parameter domain by the mean value coordinate mapping. The triangle mesh parameterization can be solving a sparse linear system. Finally, the rule sampled points of the planar parameter domain are mapped into the triangle mesh in 3D space by the inverse mapping method. The rule sampled points on the triangle mesh in 3D space are accomplished and B-spline surface interpolating to them is constructed. Experiments show that our approach is effective to construct B-spline surface approximating to scattered data points of artificial tooth.