A Nonstationary Ternary 4-Point Shape-Preserving Subdivision Scheme

Jieqing Tan, Guangyue Tong and Ghulam Mustafa

Journal of Mathematics, 2021, vol. 2021, 1-10

Abstract: 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 C2-continuous. Furthermore, the monotonicity preservation and convexity preservation are proved.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6694241

DOI: 10.1155/2021/6694241

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