A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics (TOG)
Simple regularity criteria for subdivision schemes
SIAM Journal on Mathematical Analysis
A unified approach to subdivision algorithms near extraordinary vertices
Computer Aided Geometric Design
Computer Aided Geometric Design
Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function
SIAM Journal on Matrix Analysis and Applications
Geometric Modelling, Dagstuhl, Germany, 1996
Polynomial generation and quasi-interlpolation in stationary non-uniform subdivision
Computer Aided Geometric Design
The importance of polynomial reproduction in piecewise-uniform subdivision
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
Beyond Catmull–Clark? A Survey of Advances in Subdivision Surface Methods
Computer Graphics Forum
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This paper presents a new subdivision scheme that operates over an infinite triangulation, which is regular except for a single extraordinary vertex. The scheme is based on the quartic three-directional Box-spline scheme, and is guaranteed to generate C^2 limit functions whenever the valency n of the extraordinary vertex is in the range 4=