On linear independence of T-spline blending functions
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...
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sg-ntu-dr.10356-844892020-05-28T07:18:21Z On linear independence of T-spline blending functions Zheng, Jianmin. Sederberg, Thomas W. Hughes, Thomas J. R. Scott, Michael A. Li, Xin. School of Computer Engineering 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. 2013-08-12T08:10:12Z 2019-12-06T15:46:02Z 2013-08-12T08:10:12Z 2019-12-06T15:46:02Z 2012 2012 Journal Article Li, X., Zheng, J., Sederberg, T. W., Hughes, T. J.,& Scott, M. A. (2012). On linear independence of T-spline blending functions. Computer Aided Geometric Design, 29(1), 63-76. https://hdl.handle.net/10356/84489 http://hdl.handle.net/10220/13070 10.1016/j.cagd.2011.08.005 en Computer aided geometric design |
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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. |
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School of Computer Engineering |
| author_facet |
School of Computer Engineering Zheng, Jianmin. Sederberg, Thomas W. Hughes, Thomas J. R. Scott, Michael A. Li, Xin. |
| format |
Article |
| author |
Zheng, Jianmin. Sederberg, Thomas W. Hughes, Thomas J. R. Scott, Michael A. Li, Xin. |
| spellingShingle |
Zheng, Jianmin. Sederberg, Thomas W. Hughes, Thomas J. R. Scott, Michael A. Li, Xin. On linear independence of T-spline blending functions |
| author_sort |
Zheng, Jianmin. |
| title |
On linear independence of T-spline blending functions |
| title_short |
On linear independence of T-spline blending functions |
| title_full |
On linear independence of T-spline blending functions |
| title_fullStr |
On linear independence of T-spline blending functions |
| title_full_unstemmed |
On linear independence of T-spline blending functions |
| title_sort |
on linear independence of t-spline blending functions |
| publishDate |
2013 |
| url |
https://hdl.handle.net/10356/84489 http://hdl.handle.net/10220/13070 |
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1681059156190035968 |