CurveBaseParametrize Method

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.

Namespace: Altaxo.Calc.Interpolation
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3572.0 (4.8.3572.0)

Syntax

Copy

public virtual void Parametrize(
	IReadOnlyList<double> x,
	IReadOnlyList<double> y,
	IVector<double> t,
	Parametrization parametrization
)

Parameters

x IReadOnlyListDouble: The vector of abscissa values.
y IReadOnlyListDouble: The vector of ordinate values.
t IVectorDouble: Output: the vector of "distances".
parametrization Parametrization: The parametrization rule to apply.

Remarks


             The way of parametrization is controlled by the parameter parametrization.
             Parametrizes curve length using:
            
                |dx| + |dy|       if  parametrization = Norm1
                sqrt(dx^2+dy^2)   if  parametrization = Norm2
                (dx^2+dy^2)       if  parametrization = SqrNorm2
            
             Parametrization using Norm2 usually gives the best results.

Reference

CurveBase Class

Altaxo.Calc.Interpolation Namespace