Title :
Error Estimation of Catmull-Clark Subdivision Surfaces
Author_Institution :
Sch. of Sci., Jimei Univ., Xiamen, China
Abstract :
The Catmull-Clark subdivision surface was designed to generalize the bi-cubic B-spline surface to the meshes of arbitrary topology. In this paper, the error bound of Catmull-Clark subdivision surface is estimated. By using the first-order difference of control points, we define the distance between two control meshes and derive an error estimation formula for Catmull-Clark subdivision surface. Meanwhile, we prove that the control meshes of Catmull-Clark surface converge in an exponential rate.
Keywords :
error statistics; mesh generation; splines (mathematics); topology; Catmull-Clark subdivision surfaces; arbitrary topology; bi-cubic B-spline surface; error estimation; first-order difference; Computer errors; Computer science; Convergence; Design automation; Error analysis; Facial animation; H infinity control; Mesh generation; Spline; Topology; Catmull-Clark surface; control meshes; error estimation; subdivision;
Conference_Titel :
Computer Science and Computational Technology, 2008. ISCSCT '08. International Symposium on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3746-7
DOI :
10.1109/ISCSCT.2008.203
