pointsOfSupportFromKnotPoints

Return representative support points for a terminated spline basis.

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Declaration

 t = pointsOfSupportFromKnotPoints(knotPoints, options)

Parameters

• knotPoints knot sequence
• options.S spline degree

Returns

• t support point locations

Discussion

This function assumes that the splines are terminated at the boundary with repeated end knots. It returns one representative point per basis function, using knot midpoints or interior knot values depending on the spline order parity.

These points are especially useful when a nonlinear transform is approximated by sampling a spline and refitting another spline to the sampled values.

  tSupport = BSpline.pointsOfSupportFromKnotPoints(knotPoints, S=3);
  xSupport = spline(tSupport);