Alexandria Engineering Journal (Sep 2016)

Chaikin’s perturbation subdivision scheme in non-stationary forms

  • Wardat us Salam,
  • Shahid S. Siddiqi,
  • Kashif Rehan

DOI
https://doi.org/10.1016/j.aej.2016.07.002
Journal volume & issue
Vol. 55, no. 3
pp. 2855 – 2862

Abstract

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In this paper two non-stationary forms of Chaikin’s perturbation subdivision scheme, mentioned in Dyn et al. (2004), have been proposed with tension parameter ω. Comparison among the proposed subdivision schemes and the existing non-stationary subdivision scheme depicts that the trigonometric form is more efficient in the reproduction of circles and ellipses and the hyperbolic form is more suitable for the construction of many analytical curves.

Keywords