Interpolatory subdivision schemes with the optimal approximation order
| Autor: | Weijie Song, Hongchan Zheng, Zengyao Lin, Baoxing Zhang, Jie Zhou |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
business.industry Applied Mathematics MathematicsofComputing_NUMERICALANALYSIS Univariate 020206 networking & telecommunications 02 engineering and technology Bivariate analysis Nonzero coefficients Mathematics::Numerical Analysis Connection (mathematics) Computational Mathematics 020901 industrial engineering & automation Computer Science::Systems and Control Scheme (mathematics) ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION 0202 electrical engineering electronic engineering information engineering Order (group theory) Applied mathematics Computer Science::Symbolic Computation Polygon mesh business Mathematics Subdivision |
| Zdroj: | Applied Mathematics and Computation. 347:1-14 |
| ISSN: | 0096-3003 |
| DOI: | 10.1016/j.amc.2018.10.078 |
| Popis: | In this paper, we show that the univariate interpolatory subdivision schemes with the optimal approximation order, which are the D-D interpolatory ones, can be obtained from the cubic B-spline scheme. Such schemes are derived in this paper by suitably using the push-back operation, a connection between the approximating and interpolatory subdivision. Then, the process to obtain the D-D schemes is generalized to the bivariate case and bivariate interpolatory schemes with the optimal approximation order are generated based on the triangular meshes. Compared with the existing bivariate interpolatory schemes with the optimal approximation order, the newly constructed ones own some advantages, such as a better performance in terms of the number of nonzero coefficients in the mask. Several examples are given and explicitly computed. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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