Data fitting by spline functions using the biorthonormal basis of the B-spline basis

被引:0
|
作者
Haruki, R [1 ]
Horiuchi, T [1 ]
机构
[1] Iwate Prefectural Univ, Fac Software & Informat Sci, Ind Acad Joint Res Lab, Takizawa, Iwate 0200193, Japan
关键词
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中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The basis for the spline function space which is orthogonal to the B-spline basis is derived, i.e. the biorthonormal basis of the B-spline basis. The derived basis makes it clear to obtain B-spline coefficients from a given function in a straightforward way. This is applied to data fitting by spline functions, which has been using the least square approximation. Then computing quantities and errors are examined, and the effectiveness and potential of this approach is described.
引用
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页码:270 / 273
页数:4
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