Title
On linear independence of T-spline blending functions
Document Type
Article
Publication Date
1-1-2012
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. © 2011 Elsevier B.V. All rights reserved.
Publication Source (Journal or Book title)
Computer Aided Geometric Design
First Page
63
Last Page
76
Recommended Citation
Li, X., Zheng, J., Sederberg, T., Hughes, T., & Scott, M. (2012). On linear independence of T-spline blending functions. Computer Aided Geometric Design, 29 (1), 63-76. https://doi.org/10.1016/j.cagd.2011.08.005
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