| SOME RECURRENCE FORMULAS FOR BOX SPLINES AND CONE SPLINES |
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| 引用本文： | PatrickJ.VanFleet. SOME RECURRENCE FORMULAS FOR BOX SPLINES AND CONE SPLINES[J]. 逼近论及其应用, 2002, 18(1): 81-89. DOI: 10.1007/BF02837050 |
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| 作者姓名： | PatrickJ.VanFleet |
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| 摘 要： | A degree elevation formula for multivariate simplex splines was given by Micchellis[6] and extended to hold for multivariate Dirichlet splines in [8].We report similar formulae for multivariate cone splines and box splines.To this and ,we utilize a relation due to Dahmen and Micchelli[4] that connects box splines and cone splines and a degree reduction formula given by Cohen,Lyche,and Riesenfeld in [2].
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| 关 键 词： | 递归公式 箱样条 维样条 度正式图公式 多变样条 |
Some recurrence formulas for box splines and cone splines |
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| Patrick J. Van Fleet. Some recurrence formulas for box splines and cone splines[J]. Approximation Theory and Its Applications, 2002, 18(1): 81-89. DOI: 10.1007/BF02837050 |
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| Authors: | Patrick J. Van Fleet |
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| Abstract: | A degree elevation formula for multivariate simplex splines was given by Micchelli [6] and extended to hold for multivariate Dirichlet splines in [8]. We report similar formulae for multivariate cone splines and box splines. To this end, we utilize a relation due to Dahmen and Micchelli [4] that connects box splines and cone splines and a degree reduction formula given by Cohen, Lyche, and Riesenfeld in [2]. |
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