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AkimaCubicSpline Class

Akima cubic spline interpolation for the given abscissa vector x and ordinate vector y. All vectors must have conformant dimenions. The abscissa vector must be strictly increasing.
Inheritance Hierarchy
SystemObject
  Altaxo.Calc.InterpolationCurveBase
    Altaxo.Calc.InterpolationAkimaCubicSpline

Namespace: Altaxo.Calc.Interpolation
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3448.0 (4.8.3448.0)
Syntax
C#
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public class AkimaCubicSpline : CurveBase, 
	IInterpolationFunction, IInterpolationCurve

The AkimaCubicSpline type exposes the following members.

Constructors
 NameDescription
Public methodAkimaCubicSplineInitializes a new instance of the AkimaCubicSpline class
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Methods
 NameDescription
Public methodCubicSplineCoefficients Calculate the spline coefficients y2(i) and y3(i) for a natural cubic spline, given the abscissa x(i), the ordinate y(i), and the 1st derivative y1(i).
(Inherited from CurveBase)
Public methodCubicSplineHorner Return the interpolation value P(u) for a piecewise cubic curve determined by the abscissa vector x, the ordinate vector y, and derivative coefficient vectors y1, y2, and y3, using the Horner scheme.
(Inherited from CurveBase)
Public methodCubicSplineHorner1stDerivative Return the first derivative P'(u) of the piecewise cubic curve evaluated using Horner's scheme.
(Inherited from CurveBase)
Public methodEqualsDetermines whether the specified object is equal to the current object.
(Inherited from Object)
Protected methodFinalizeAllows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.
(Inherited from Object)
Public methodGetCurvePoints Get curve points to draw an interpolation curve between the abscissa values xlo and xhi. It calls the virtual methods MpCurveBase::GetXOfU() and GetYOfU() to obtain the interpolation values. Note, that before method DrawCurve() can be called the method Interpolate() must have been called. Otherwise, not interpolation is available.
(Inherited from CurveBase)
Public methodGetHashCodeServes as the default hash function.
(Inherited from Object)
Public methodGetTypeGets the Type of the current instance.
(Inherited from Object)
Public methodGetXOfU Get the abscissa value in dependence on parameter u.
(Overrides CurveBaseGetXOfU(Double))
Public methodGetY1stDerivativeOfX Returns the first derivative of the Akima cubic spline at the given x value.
Public methodGetYOfU Gets the ordinate value on dependence on parameter u.
(Overrides CurveBaseGetYOfU(Double))
Public methodGetYOfX Returns the y value in dependence of a given x value.
Public methodInterpolate Interpolates a curve using abcissa x and ordinate y.
(Overrides CurveBaseInterpolate(IReadOnlyListDouble, IReadOnlyListDouble))
Protected methodMemberwiseCloneCreates a shallow copy of the current Object.
(Inherited from Object)
Public methodParametrize Curve length parametrization. Returns the accumulated "distances" between the points (x(i),y(i)) and (x(i+1),y(i+1)) in t(i+1) for i = lo ... hi. t(lo) = 0.0 always.
(Inherited from CurveBase)
Public methodToStringReturns a string that represents the current object.
(Inherited from Object)
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Fields
 NameDescription
Protected fieldxReference to the vector of the independent variable.
(Inherited from CurveBase)
Protected fieldyReference to the vector of the dependent variable.
(Inherited from CurveBase)
Protected fieldy1 
Protected fieldy2 
Protected fieldy3 
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Remarks
The implementation computes local slopes and constructs a monotone piecewise cubic curve. The abscissa vector must be strictly increasing; otherwise an ArgumentException is thrown.
See Also