Digitale Medien
Springer
Advances in computational mathematics
9 (1998), S. 377-389
ISSN:
1572-9044
Schlagwort(e):
subdivision
;
extraordinary points
;
regular G k-surfaces
;
matrix iteration
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
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.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1023/A:1018945708536
Permalink
Bibliothek |
Standort |
Signatur |
Band/Heft/Jahr |
Verfügbarkeit |