We show that H 2 d# = Co for any complete surface M c R 3 which has positive curvature outside a compact subset of R 3 . This proves a conjecture of Friedrich.
Curvature integrability of subdivision surfaces
✍ Scribed by Ulrich Reif; Peter Schröder
- Book ID
- 110353418
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 232 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1019-7168
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We study the effect of simultaneous bounds on the local L 1 norms of the second fundamental form and of the Gauss curvature on the geometry of surfaces 7 embedded in a Riemannian manifold M. Such bounds are natural since (together with an area bound) they amount to a local bound on the area of the m
## In this paper, subdivision methods for rectangular Be ´zier A rectangular Be ´zier surface of degree n ϫ m can be surfaces are generalized to subdivide a rectangular Be ´zier surface patch of degree n ؋ m into two rectangular Be ´zier sur-represented by face patches of degree n ؋ (m ؉ n), while