rspline

rspline computes a rational spline under tension for a given x and y vector.

rmXY = rspline(rvX, rvY, p)

rmXY = rspline(rvX, rvY, p, rsTensionFactor)

rmXY = rspline(rvX, rvY, p, rsTensionFactor, flag)

Return Value

The return value rmXY is a real matrix with two columns. The first column contains the x-coordinates of the spline and the second column contains the y-coordinates of the spline. In case of an error rmXY has only one element with an error number:

1	not enough memory
2	x-coordinates are not strictly increasing
3	less than 3 datapoints specified.

Parameters

rvX

rvX is a real vector with at least 3 elements.

rvY

rvY is a real vector with at least 3 elemetns.

rsTensionFactor

rsTensionFactor is a value in the range 0 to 100. For 0 the spline is similar to a cubic spline and for values close to 100 the result is a polygon. Default value is 1.

p

The meaning of p depends on the value of the parameter flag

flag

flag can be one of the following values:

Value	Meaning
1	p is the number of x-, y-coordinates calculated.
2	p is the number of x-, y-coordinates calculated. The original x-coordinates are added to the total.
3	p is a strictly increasing vector of x-coordinates.

Default value is 1.

Example

History

Version	Description
5.5.0	New

See also

Overview Mathematic, pspline, fspline, akimaspline, interpol

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