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...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Online Access: | https://hdl.handle.net/10356/84489 http://hdl.handle.net/10220/13070 |
| _version_ | 1826129643305959424 |
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| author | Zheng, Jianmin. Sederberg, Thomas W. Hughes, Thomas J. R. Scott, Michael A. Li, Xin. |
| author2 | School of Computer Engineering |
| author_facet | School of Computer Engineering Zheng, Jianmin. Sederberg, Thomas W. Hughes, Thomas J. R. Scott, Michael A. Li, Xin. |
| author_sort | Zheng, Jianmin. |
| collection | NTU |
| description | 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. |
| first_indexed | 2024-10-01T07:43:52Z |
| format | Journal Article |
| id | ntu-10356/84489 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:43:52Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-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 |
| spellingShingle | Zheng, Jianmin. Sederberg, Thomas W. Hughes, Thomas J. R. Scott, Michael A. Li, Xin. On linear independence of T-spline blending functions |
| title | 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_short | On linear independence of T-spline blending functions |
| title_sort | on linear independence of t spline blending functions |
| url | https://hdl.handle.net/10356/84489 http://hdl.handle.net/10220/13070 |
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