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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: 4.8.3261.0 (4.8.3261.0)
Syntax
C#
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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
C#
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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.
See Also