On linear independence of T-spline blending functions

• Main Authors: Zheng, Jianmin., Sederberg, Thomas W., Hughes, Thomas J. R., Scott, Michael A., Li, Xin.
• Other Authors: School of Computer Engineering
• Format: Article
• Language: English
• Published: 2013
• Online Access: https://hdl.handle.net/10356/84489; http://hdl.handle.net/10220/13070
• Institution: Nanyang Technological University

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...