| A Unified Ternary Curve Subdivision Scheme |
| Received:November 17, 2016 Revised:December 19, 2016 |
| Key Words:
difference matrix subdivision scheme eigenvalues asymmetric scheme
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.61472466; 61070227) and the NSFC-Guangdong Joint Foundation Key Project (Grant No.U1135003). |
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| 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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2017.01.005 |
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