Title
Non-uniform B-spline subdivision using refine and smooth
Abstract
Subdivision surfaces would be useful in a greater number of applications if an arbitrary-degree, non-uniform scheme existed that was a generalisation of NURBS. As a step towards building such a scheme, we investigate non-uniform analogues of the Lane-Riesenfeld 'refine and smooth' subdivision paradigm. We show that the assumptions made in constructing such an analogue are critical, and conclude that Schaefer's global knot insertion algorithm is the most promising route for further investigation in this area.
Year
DOI
Venue
2007
10.1007/978-3-540-73843-5_8
IMA Conference on the Mathematics of Surfaces
Keywords
Field
DocType
non-uniform b-spline subdivision,non-uniform analogue,non-uniform scheme,greater number,subdivision paradigm,global knot insertion algorithm,subdivision surface,promising route
B-spline,Discrete mathematics,Topology,Generalization,Subdivision surface,Subdivision,Knot (unit),Geometric series,Mathematics
Conference
Volume
ISSN
Citations 
4647
0302-9743
6
PageRank 
References 
Authors
0.62
5
3
Name
Order
Citations
PageRank
Thomas J. Cashman11679.69
Neil A. Dodgson272354.20
Malcolm A. Sabin335860.06