CardinalCubicSpline (FsODE)

FsODE

Documentation for 0.0.2

CardinalCubicSpline Type

Namespace: Altaxo.Calc.Interpolation
Assembly: AltaxoCore.Redist.dll
Base Type: CurveBase
All Interfaces: IInterpolationCurve

Calculate the Cardinal cubic spline interpolation for the given abscissa vector x and ordinate vector y. All vectors must have conformant dimensions.

            
                                          / -0.5  1.5 -1.5  0.5 \   / P1 \
              CSpline(t) = (t^3 t^2 t 1) |   1.0 -2.5  2.0 -0.5  | |  P2  | = T M G
                                         |  -0.5  0.0  0.5  0.0  | |  P3  |
                                          \  0.0  1.0  0.0  0.0 /   \ P4 /
            
              T is the polynomial basis vector
              M is the basis matrix of the Cardinal spline
              G is the geometry vector of the control points

Constructors

Constructor	Description
`CardinalCubicSpline()` Full Usage: `CardinalCubicSpline()`

Instance members

Instance member	Description
`this.GetXOfU` Full Usage: `this.GetXOfU` Parameters: t : `float` Returns: `float` Modifiers: abstract	t : `float` Returns: `float`
`this.GetYOfU` Full Usage: `this.GetYOfU` Parameters: t : `float` Returns: `float` Modifiers: abstract	t : `float` Returns: `float`
`this.Interpolate` Full Usage: `this.Interpolate` Parameters: x : `IReadOnlyList<float>` y : `IReadOnlyList<float>` Modifiers: abstract	x : `IReadOnlyList<float>` y : `IReadOnlyList<float>`