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A Six-Point Variant on the Lane-Riesenfeld Algorithm

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  • Pakeeza Ashraf
  • Ghulam Mustafa
  • Jiansong Deng

Abstract

We apply six-point variant on the Lane-Riesenfeld algorithm to obtain a new family of subdivision schemes. We also determine the support, smoothness, Hölder regularity, magnitude of the artifact, and the shrinkage effect due to the change of integer smoothing parameter that characterizes the members of the family. The degree of polynomial reproduction also has been discussed. It is observed that the proposed schemes have less shrinkage effect and as a result better preserve the shape of control polygon.

Suggested Citation

  • Pakeeza Ashraf & Ghulam Mustafa & Jiansong Deng, 2014. "A Six-Point Variant on the Lane-Riesenfeld Algorithm," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-7, May.
    • Handle: RePEc:hin:jnljam:628285
    DOI: 10.1155/2014/628285
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    Cited by:

    1. Rabia Hameed & Ghulam Mustafa, 2016. "Construction and Analysis of Binary Subdivision Schemes for Curves and Surfaces Originated from Chaikin Points," International Journal of Analysis, Hindawi, vol. 2016, pages 1-15, December.

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