Title
On linear independence of T-spline blending functions
Abstract
This paper shows that, for any given T-spline, the linear independence of its blending functions can be determined by computing the nullity of the T-spline-to-NURBS transform matrix. The paper analyzes the class of T-splines for which no perpendicular T-node extensions intersect, and shows that the blending functions for any such T-spline are linearly independent.
Year
DOI
Venue
2012
10.1016/j.cagd.2011.08.005
Computer Aided Geometric Design
Keywords
DocType
Volume
T-spline blending function,linear independence,perpendicular T-node extensions intersect,blending function
Journal
29
Issue
ISSN
Citations 
1
0167-8396
18
PageRank 
References 
Authors
1.48
3
5
Name
Order
Citations
PageRank
Xin Li1454.39
jianmin zheng2102499.03
thomas w sederberg32330466.48
Thomas J. R. Hughes420825.49
michael a scott5614.69