Electronic Resource
Springer
Advances in computational mathematics
9 (1998), S. 377-389
ISSN:
1572-9044
Keywords:
subdivision
;
extraordinary points
;
regular G k-surfaces
;
matrix iteration
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1018945708536
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