Calculation of the smoothing spline with weighted roughness measure
Calculation of the smoothing spline with weighted roughness measure
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DOI：
10.1142/s0218202501000726
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发表时间：
2001-02-01
影响因子：
3.5
通讯作者：
de Boor, C
中科院分区：
文献类型：
--
作者：
de Boor, C
给出了一个完整的加权粗糙度光滑样条线的数学推导，并讨论了其实现所需的计算细节。引入加权粗糙度度量，即使只是分段恒定，在平滑样条线的成形方面提供了额外的灵活性，而不会显著增加其构造或使用的计算成本。
A self-contained mathematical derivation of the smoothing spline with weighted roughness measure is offered, along with a discussion of the computational details required for its implementation. The introduction of a weighted roughness measure, even if only piecewise constant, provides additional flexibility in the shaping of the smoothing spline, while not materially increasing the computational cost of its construction or use.