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Four point interpolatory-corner cutting subdivision

Author

Listed:
  • Tan, Jieqing
  • Tong, Guangyue
  • Zhang, Li
  • Xie, Jin

Abstract

This paper presents a new curve algorithm called four point interpolatory-corner cutting subdivision for generating curves that interpolate some given vertices and approximate the other vertices. By four-point interpolatory-corner cutting subdivision, only the vertices specified to be interpolated are fixed and the other vertices are updated at each refinement step. Compared to the four-point interpolation subdivision scheme, it is expected to have improved behavior, and compared to the cutting smooth subdivision, it is able to generate curve interpolating some given vertices. It is more suitable for practical application. The refinement rules are derived to ensure that the eigenvalues of the refinement matrix satisfy the necessary condition of C1continuity. Four-point interpolatory-corner cutting smooth subdivision also contains tension parameters, it is conducive to regulate the shape of limit curve.

Suggested Citation

  • Tan, Jieqing & Tong, Guangyue & Zhang, Li & Xie, Jin, 2015. "Four point interpolatory-corner cutting subdivision," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 819-825.
    • Handle: RePEc:eee:apmaco:v:265:y:2015:i:c:p:819-825
    DOI: 10.1016/j.amc.2015.05.107
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    Cited by:

    1. Hameed, Rabia & Mustafa, Ghulam, 2017. "Family of a-point b-ary subdivision schemes with bell-shaped mask," Applied Mathematics and Computation, Elsevier, vol. 309(C), pages 289-302.

    More about this item

    Keywords

    Four-point interpolatory-corner cutting subdivision; Four-point subdivision; Corner cutting subdivision; C1 continuity;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

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