一元B样条的B网观点 |
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引用本文: | 孙家昶.一元B样条的B网观点[J].计算数学,1989,11(1):73-84. |
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作者姓名: | 孙家昶 |
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作者单位: | 中国科学院计算中心 |
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摘 要: | 1.问题的提出 近年来,多元样条的研究进程表明,从多变量的观点重新认识一元样条的理论是很有必要的.本文运用重心坐标,以近代的B网方法为工具,重新探讨一元分片多项式的结构,进而为研究多元样条提供工具. 假设Q_n(t)是给定的分割:
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关 键 词: | 一元B样条 B网方法 样条 |
THE B-NET APPROACH TO B-SPLINES IN ONE DIMENSION |
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Affiliation: | Sun Jia-chang Computing Center. Academia Sinica |
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Abstract: | A new approach to splines, B-net approach, is proposed in order to provide a new pow-erful tool for studying splines in the multivariate case, and to make new algorithms for pie-cewise polynomials. Some recurrences of B-net coefficients are derived, and their propertiesare investigated for B-splines in one dimension. |
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