| 差商算子的多尺度分解与B样条级数的非均匀细分算法 |
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| 引用本文： | 李岳生,杨朝霞.差商算子的多尺度分解与B样条级数的非均匀细分算法[J].高等学校计算数学学报,2004,26(1):1-11. |
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| 作者姓名： | 李岳生 杨朝霞 |
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| 作者单位： | 中山大学科学计算与计算机应用系,广州,510275;中山大学科学计算与计算机应用系,广州,510275 |
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| 基金项目： | 中山大学青年教师科研启动基金，国家自然科学基金 10371137，广东省自然科学基金 036608，广州市科技计划项目资助项目 2003J1-C0201，高等学校博士学科点专项科研基金 20030558008 |
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| 摘 要： | This paper presents a decomposition scheme of the m-th order divided difference operator on non-uniform knots. Through it we introduce a subdivision algorithm of arbitrary B-spline series. Two numerical experiments on function approximation and curve fitting are given to show the efficiency of our algorithm.
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| 关 键 词： | 差商算子 多尺度分解 B样条级数 非均匀细分算法 |
MULTISCALE DECOMPOSITION OF DIVIDED DIFFERENCE OPERATORS AND NONSTATIONARY SUBDIVISION SCHEMES OF B-SPLINE SERIES |
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| Li Yuesheng Yang Zhaoxia.MULTISCALE DECOMPOSITION OF DIVIDED DIFFERENCE OPERATORS AND NONSTATIONARY SUBDIVISION SCHEMES OF B-SPLINE SERIES[J].Numerical Mathematics A Journal of Chinese Universities,2004,26(1):1-11. |
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| Authors: | Li Yuesheng Yang Zhaoxia |
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| Abstract: | This paper presents a decomposition scheme of the m-th order divided difference operator on non-uniform knots. Through it we introduce a subdivision algorithm of arbitrary B-spline series. Two numerical experiments on function approximation and curve fitting are given to show the efficiency of our algorithm. |
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| Keywords: | Divided difference multiscale decomposition nonstationary subdi-vision scheme |
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