Curvature integrability of subdivision surfaces
نویسندگان
چکیده
We examine the smoothness properties of the principal curvatures of subdivision surfaces near irregular points. In particular we give an estimate of their Lp class based on the eigenstructure of the subdivision matrix. As a result we can show that the popular Loop and Catmull-Clark schemes (among many others) have square integrable principal curvatures enabling their use as shape functions in FEM treatments of the thin shell equations.
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عنوان ژورنال:
- Adv. Comput. Math.
دوره 14 شماره
صفحات -
تاریخ انتشار 2001