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A Nonstationary Ternary 4-Point Shape-Preserving Subdivision Scheme

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  • Jieqing Tan
  • Guangyue Tong
  • Ghulam Mustafa

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.

Suggested Citation

  • Jieqing Tan & Guangyue Tong & Ghulam Mustafa, 2021. "A Nonstationary Ternary 4-Point Shape-Preserving Subdivision Scheme," Journal of Mathematics, Hindawi, vol. 2021, pages 1-10, January.
    • Handle: RePEc:hin:jjmath:6694241
    DOI: 10.1155/2021/6694241
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