Linear independence of the blending functions of T-splines without multiple knots

作者：

Highlights：

• The open question given by Sederberg’s research team is answered.

• The linear independence of the blending functions of T-splines without multiple knots is proved.

• A necessary condition for the linear dependence of a T-spline’s blending functions is also deduced.

摘要

•The open question given by Sederberg’s research team is answered.•The linear independence of the blending functions of T-splines without multiple knots is proved.•A necessary condition for the linear dependence of a T-spline’s blending functions is also deduced.

论文关键词：B-splines,T-splines,CAGD,Linear independence,Blending function

论文评审过程：Available online 14 December 2013.

论文官网地址：https://doi.org/10.1016/j.eswa.2013.12.012