Dual basis functions for the NS-power basis and their applications

作者：Zhang Li^*; Wu Hongyi; Tan Jieqing

来源：Applied Mathematics and Computation, 2009, 207(2): 434-441.

DOI：10.1016/j.amc.2008.10.048

• NS-power basis
• Dual basis
• Marsden identity
• Bezier curve
• B-spline curve

Considering the outstanding properties of the NS-power basis which was given by Sanchez-Reyes in 1997, the dual basis functions for the NS-power basis are presented in this paper. Marsden identity and the transformation formulae from Bezier curves, uniform B-spline curves to NS-power curves are also given. These results are useful for the applications of NS- power curves and their popularization in Computer Aided Geometric Design.

• 出版日期2009-1-15
• 单位安徽新华学院; 合肥工业大学