NDLI: Smoothness of subdivision surfaces at extraordinary points

Content Provider	Springer Nature Link
Author	Prautzsch, Hartmut
Copyright Year	1998
Abstract	A stationary subdivision scheme such as Catmull and Clark's is described by a matrix iteration around an extraordinary point. We show how higher order smoothness of a limiting surface obtained by a stationary subdivision algorithm for tri- or quadrilateral nets depends on the spectral properties of the matrix and give necessary and sufficient conditions. The results are also useful to construct subdivision algorithms for surfaces of any smoothness order at extraordinary points.
Starting Page	377
Ending Page	389
Page Count	13
File Format	PDF
ISSN	10197168
Journal	Advances in Computational Mathematics
Volume Number	9
Issue Number	3-4
e-ISSN	15729044
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	1998-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Theory of Computation Numeric Computing Mathematics Algebra Calculus of Variations and Optimal Control Optimization
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Computational Mathematics

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Smoothness of subdivision surfaces at extraordinary points