Title :
Improved Error Estimate for Extraordinary Catmull-Clark Subdivision Surface Patches
Author :
Huang, Zhangjin ; Wang, Guoping
Author_Institution :
Peking Univ., Beijing
Abstract :
Summary form only given. 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.
Keywords :
computational geometry; convergence of numerical methods; error analysis; surface fitting; Catmull-Clark subdivision surface; convergence rate; error estimate; error tolerance; extraordinary CCSS patches; subdivision depth; Computer errors; Computer science; Computer science education; Educational technology; Error analysis; Laboratories;
Conference_Titel :
Computer-Aided Design and Computer Graphics, 2007 10th IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-1579-3
Electronic_ISBN :
978-1-4244-1579-3
DOI :
10.1109/CADCG.2007.4407833
