Convergence Property Of Control Meshes Of Catmull-Clark Surface And Loop Surface

This paper is organized as following:In chapter1 we give a brief recount for the corresponding research background of CAGD and introduce the main contents of this paper.In chapter2 we first introduce the Catmull-Clark subdivision surface and some corresponding conclusion.Then we introduce a new algorithm.To draw assistance from this new algorithm we obtain a more precise estimate of convergence rate of control meshes of Catmull-Clark subdivision surfaces and give a better formula for error estimate.In chapter3 we first introduce the Loop subdivision surface and some corresponding conclusion.Then we introduce a new algorithm.To draw assistance from this new algorithm we obtain a more precise estimate of convergence rate of control meshes of Loop subdivision surfaces and give a better formula for error estimate.