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A Unified Ternary Curve Subdivision Scheme |
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| Authors: | Qianqian LV Jieqing TAN and Jun SHI |
| Institution: | School of Mathematics, Hefei University of Technology, Anhui 230009, P. R. China,School of Mathematics, Hefei University of Technology, Anhui 230009, P. R. China and School of Mathematics, Hefei University of Technology, Anhui 230009, P. R. China |
| Abstract: | A unified $m\,(m>2)$-point ternary scheme with some parameter is proposed. The continuity of subdivision scheme is analyzed based on the relationship between the subdivision scheme and difference scheme. Moreover, the proposed subdivision is extended to asymmetric multi-parameter subdivision and the asymmetric schemes in four cases are presented in detail. Some examples are given to show that the presented scheme has better approximating effect. |
| Keywords: | difference matrix subdivision scheme eigenvalues asymmetric scheme |
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