| SOME SHAPE-PRESERVING QUASI-INTERPOLANTS TO NON-UNIFORMLY DISTRIBUTED DATABY MQ-B-SPLINES |
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| 引用本文： | ZhangWeixiang WuZongmin. SOME SHAPE-PRESERVING QUASI-INTERPOLANTS TO NON-UNIFORMLY DISTRIBUTED DATABY MQ-B-SPLINES[J]. 高校应用数学学报(英文版), 2004, 19(2): 191-202. DOI: 10.1007/s11766-004-0054-5 |
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| 作者姓名： | ZhangWeixiang WuZongmin |
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| 作者单位： | Dept.ofMath.,FudanUniv.,Shanghai200433,China |
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| 基金项目： | Supported by the National Natural Science Foundation of China( 1 9971 0 1 7,1 0 1 2 5 1 0 2 ) |
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| 摘 要： | Based on the definition of MQ-B-Splines, this article constructs five types of univariate quasi-interpolants to non-uniformly distributed data. The error estimates and the shape-preserving properties are shown in details. And examples are shown to demonstrate the capacity of the quasi-interpolants for curve representation.
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| 关 键 词： | 精确度 单变量 非均匀 数据分析 数据管理 离散数学 |
Some shape-preserving quasi-interpolants to non-uniformly distributed data by MQ-B-Splines |
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| Zhang Weixiang,Wu Zongmin. Some shape-preserving quasi-interpolants to non-uniformly distributed data by MQ-B-Splines[J]. Applied Mathematics A Journal of Chinese Universities, 2004, 19(2): 191-202. DOI: 10.1007/s11766-004-0054-5 |
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| Authors: | Zhang Weixiang Wu Zongmin |
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| Affiliation: | (1) Dept. of Math., Fudan Univ., 200433 Shanghai, China |
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| Abstract: | Based on the definition of MQ-B-Splines,this article constructs five types of univariate quasi-interpolants to non-uniformly distributed data. The error estimates and the shape-preserving properties are shown in details.And examples are shown to demonstrate the capacity of the quasi-interpolants for curve representation. |
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| Keywords: | scattered data fitting quasi-interpolation shape-preserving approximation radial basis function MQ-B-Splines. |
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