Improved Error Estimate for Extraordinary Catmull-Clark Subdivision Surface Patches

Zhangjin Huang, Guoping Wang
2007 2007 10th IEEE International Conference on Computer-Aided Design and Computer Graphics  
Based on an optimal estimate of the convergence rate of the second order norm, an improved error estimate for extraordinary Catmull-Clark subdivision surface (CCSS) patches is proposed. If the valence of the extraordinary vertex of an extraordinary CCSS patch is even, a tighter error bound and, consequently, a more precise subdivision depth for a given error tolerance can be obtained. Furthermore, examples of adaptive subdivision illustrate the practicability of the error estimation approach.
doi:10.1109/cadcg.2007.4407833 dblp:conf/cadgraphics/HuangW07 fatcat:6gatr3fg4ffoppy6b6dwfrwnuu