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Constructing 2n-1-Point Ternary Interpolatory Subdivision Schemes by Using Variation of Constants

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3 Author(s)
Hongchan Zheng ; Dept. of Appl. Math., Northwestern Polytech. Univ., Xi''an, China ; Meigui Hu ; Guohua Peng

Based on Lagrange polynomials and variation of constants, we devise a novel 2n-1-point interpolatory ternary subdivision scheme that reproduces polynomials of degree 2n-2. We illustrate the technique with a 3-point ternary interpolatory subdivision scheme which can rebuild Hassan and Dodgson's interpolating 3-point ternary subdivision scheme and a new 5-point ternary interpolatory subdivision scheme which can achieve C2-continuity. The smoothness of the new schemes is proved using Laurent polynomial method.

Published in:

Computational Intelligence and Software Engineering, 2009. CiSE 2009. International Conference on

Date of Conference:

11-13 Dec. 2009