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Ternary Even Symmetric 2n-Point Subdivision

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

In this paper, we design a ternary even symmetric 2n-point approximating subdivision scheme which generates smooth curves of high order. We illustrate the technique with a new 4-point ternary approximating subdivision scheme which is C4 and a new 6-point ternary approximating subdivision scheme which can achieve C7-continuity. The smoothness of the new schemes is proved using Laurent polynomials.

Published in:

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

Date of Conference:

11-13 Dec. 2009