A quartic trigonometric interpolatory spline with local free parameters

Advances in Mechanical Engineering

卷:15

Research Article

Chengzhi Liu² 

[1] Juncheng Li, College of Mathematics and Finance, Hunan University of Humanities, Science and Technology, Dixing Road, Loudi, Hunan 417000, China. Email:

[2] College of Mathematics and Finance, Hunan University of Humanities, Science and Technology, Loudi, China

关键词: Geometric modeling;    trigonometric spline;    interpolatory spline;    free parameter;    local adjustability;   

DOI  :  10.1177/16878132231180154

 received in 2023-04-07, accepted in 2023-05-18,  发布年份 2023

来源: Sage Journals

【 摘 要 】

The construction of trigonometric interpolatory splines plays a very important role in geometric modeling. This paper presents a quartic trigonometric interpolatory spline with local free parameters. The new spline not only automatically interpolates the given points and achieves C2 continuity, but also owns shape adjustability when the points remain fixed. Some examples show that the shape of the new spline can easily realize local and global adjustment by changing the free parameters.

【 授权许可】

CC BY   
© The Author(s) 2023