A Nonstationary Ternary 4-Point Shape-Preserving Subdivision Scheme | Zendy

Jieqing Tan | Zendy; Guangyue Tong | Zendy

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A Nonstationary Ternary 4-Point Shape-Preserving Subdivision Scheme

Author(s) -

Jieqing Tan,

Guangyue Tong

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6694241

Subject(s) - mathematics , subdivision , ternary operation , scheme (mathematics) , point (geometry) , geometry , pure mathematics , mathematical analysis , archaeology , computer science , history , programming language

,is 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.,en, 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.

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