A Nonstationary Ternary 4-Point Shape-Preserving Subdivision Scheme

Jieqing Tan, Guangyue Tong, Ghulam Mustafa
2021 Journal of Mathematics  
This paper uses the continued fraction technique to construct a nonstationary 4-point ternary interpolatory subdivision scheme, which provides the user with a tension parameter that effectively handles cusps compared with a stationary 4-point ternary interpolatory subdivision scheme. Then, the continuous nonstationary 4-point ternary scheme is analyzed, and the limit curve is at least C 2 -continuous. Furthermore, the monotonicity preservation and convexity preservation are proved.
doi:10.1155/2021/6694241 fatcat:avkfz2xhdjeclgrtndg3a6hlyy