Title
A symmetric, non-uniform, refine and smooth subdivision algorithm for general degree B-splines
Abstract
Subdivision surfaces would find a greater number of applications if there was a scheme that included general degree NURBS as a special case. As a step towards such a scheme, we present a univariate refine and smooth subdivision algorithm that applies directly to regular regions of a surface and might, in future work, be generalised to incorporate extraordinary points. The algorithm is symmetric and non-uniform, is defined for general degree, and has similar properties to the uniform Lane-Riesenfeld refine and smooth construction.
Year
DOI
Venue
2009
10.1016/j.cagd.2007.12.001
Computer Aided Geometric Design
Keywords
Field
DocType
subdivision,non-uniform,lane–riesenfeld,extraordinary point,knot insertion,smoothing,general degree,general degree nurbs,regular region,greater number,nurbs,subdivision surface,lane-riesenfeld,future work,smooth construction,smooth subdivision algorithm,general degree b-splines,similar property
Spline (mathematics),Topology,Subdivision surface,Subdivision,Finite subdivision rule,Smoothing,T-spline,Univariate,Mathematics,Special case
Journal
Volume
Issue
ISSN
26
1
Computer Aided Geometric Design
Citations 
PageRank 
References 
13
0.71
10
Authors
3
Name
Order
Citations
PageRank
Thomas J. Cashman11679.69
Neil A. Dodgson272354.20
Malcolm A. Sabin335860.06