Assembly: ImslCS (in ImslCS.dll) Version: 6.5.0.0
Syntax
C# |
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[SerializableAttribute] public class CsAkima : Spline |
Visual Basic (Declaration) |
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<SerializableAttribute> _ Public Class CsAkima _ Inherits Spline |
Visual C++ |
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[SerializableAttribute] public ref class CsAkima : public Spline |
Remarks
Class CsAkima computes a cubic spline interpolant to a set of data points for . The breakpoints of the spline are the abscissas. Endpoint conditions are automatically determined by the program; see Akima (1970) or de Boor (1978).
If the data points arise from the values of a smooth, say , function f, i.e. , then the error will behave in a predictable fashion. Let be the breakpoint vector for the above spline interpolant. Then, the maximum absolute error satisfies
where
CsAkima is based on a method by Akima (1970) to combat wiggles in the interpolant. The method is nonlinear; and although the interpolant is a piecewise cubic, cubic polynomials are not reproduced. (However, linear polynomials are reproduced.)