Title: Error Estimation of Catmull-Clark Subdivision Surfaces
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,the distance between three control meshes is defined and an error estimation formula for Catmull-Clark subdivision surface is derived.Meanwhile,the fact that control meshes of Catmull-Clark surface converge in an exponential rate is proved.
Publication Year: 2009
Publication Date: 2009-01-01
Language: en
Type: article
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