A new non-stationary binary 6-point subdivision scheme

作者：Siddiqi Shahid S; Salam Wardat Us; Rehan Kashif

来源：Applied Mathematics and Computation, 2015, 268: 1227-1239.

DOI：10.1016/j.amc.2015.07.031

• Non stationary subdivision scheme
• Binary 6-point scheme
• Interpolation
• Hyperbolic function
• Curvature

In this paper, the hyperbolic form of binary 6-point interpolating non-stationary subdivision scheme has been constructed using the hyperbolic function. Some of the important properties of the proposed scheme has been discussed. The comparison of the proposed scheme with the trigonometric form of binary 6-point interpolatory non-stationary scheme is depicted through examples which indicate that the proposed scheme not only accommodates and is more consistent with the control polygon, but also generates pleasing curves corresponding to the larger parametric values in and outside the parametric interval as compared to the trigonometric form of binary 6-point scheme developed by Daniel etal. Comparison with some other interpolating non-stationary subdivision schemes has also been demonstrated.

• 出版日期2015-10-1