Linear independence of the T-spline blending functions associated with some particular T-meshes

Based on the local refinement algorithm addressed in Sederberg et al. (2004) [17], we analyze the linear independence of the bi-cubic T-spline blending functions corresponding to particular T-meshes.

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2010-04, Vol.199 (23), p.1437-1445
Main Authors: Buffa, A., Cho, D., Sangalli, G.
Format: Article
Language:English
Subjects:
Algorithms
Blending
C (programming language)
Computational techniques
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Isogeometric analysis
Linear independence
Mathematical analysis
Mathematical methods in physics
Mathematical models
Physics
T-splines
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Description
Summary:Based on the local refinement algorithm addressed in Sederberg et al. (2004) [17], we analyze the linear independence of the bi-cubic T-spline blending functions corresponding to particular T-meshes.
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2009.12.004