ISSN 0253-2778

CN 34-1054/N

Open AccessOpen Access JUSTC Research Articles:Mathematics

A class of new binary 6-point subdivision scheme

Cite this:
https://doi.org/10.3969/j.issn.0253-2778.2017.11.005
  • Publish Date: 30 November 2017
  • A class of interpolation and approximation blending binary 6-point subdivision scheme was presented. The smoothness of the scheme was analyzed by the Laurent polynomial method. The limit curve can reach C4 continuous. The Holder exponent of the limit curves was also calculated. Compared with the existing binary 6-point subdivision schemes, the proposed scheme achieves higher continuity and better approximating results. Furthermore, the uniform subdivision scheme is extended to the non-uniform subdivision scheme. Experimental results illustrate the effectiveness of the subdivision scheme and the role of the shape parameters.
    A class of interpolation and approximation blending binary 6-point subdivision scheme was presented. The smoothness of the scheme was analyzed by the Laurent polynomial method. The limit curve can reach C4 continuous. The Holder exponent of the limit curves was also calculated. Compared with the existing binary 6-point subdivision schemes, the proposed scheme achieves higher continuity and better approximating results. Furthermore, the uniform subdivision scheme is extended to the non-uniform subdivision scheme. Experimental results illustrate the effectiveness of the subdivision scheme and the role of the shape parameters.
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