Assembly: ImslCS (in ImslCS.dll) Version: 6.5.0.0
Syntax
C# |
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[SerializableAttribute] public class CsSmoothC2 : Spline |
Visual Basic (Declaration) |
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<SerializableAttribute> _ Public Class CsSmoothC2 _ Inherits Spline |
Visual C++ |
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[SerializableAttribute] public ref class CsSmoothC2 : public Spline |
Remarks
Class CsSmoothC2 is designed to produce a cubic spline approximation to a data set in which the function values are noisy. This spline is called a smoothing spline. It is a natural cubic spline with knots at all the data abscissas x, but it does not interpolate the data . The smoothing spline is the unique function that minimizes
subject to the constraint
Recommended values for depend on the weights, w. If an estimate for the standard deviation of the error in the y-values is availiable, then should be set to this value and the smoothing parameter should be choosen in the confidence interval corresponding to the left side of the above inequality. That is,
CsSmoothC2 is based on an algorithm of Reinsch (1967). This algorithm is also discussed in de Boor (1978, pages 235-243).