期刊
COMPUTER AIDED GEOMETRIC DESIGN
卷 29, 期 1, 页码 63-76出版社
ELSEVIER
DOI: 10.1016/j.cagd.2011.08.005
关键词
T-splines; Blending functions; Linear independence; NURBS; Isogeometric analysis
资金
- Office of Naval Research [N00014-08-C-0920, N00014-08-1-0992]
- ARC of Singapore [MOE2008-T2-1-075]
- NSF of China [11031007, 60903148]
- Chinese Universities Scientific Fund
- SRF for ROCS SE
- CAS Startup Scientific Research Foundation
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. (C) 2011 Elsevier B.V. All rights reserved.
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