minimumConstraintPoints

Return a minimal set of one-dimensional locations for universal derivative constraints.

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Declaration

 tc = minimumConstraintPoints(knotPoints, S, T)

Parameters

• knotPoints one-dimensional knot sequence
• S spline degree
• T constrained polynomial degree

Returns

• tc one-dimensional constraint locations

Discussion

For a terminated spline of order K, this chooses the smallest set of 1-D points needed to constrain all segments at polynomial degree T.

If D = S - T, the returned locations provide enough one-dimensional sample points to constrain every piecewise-polynomial segment through derivative order T without oversampling all knots.

  tc = ConstrainedSpline.minimumConstraintPoints(knotPoints, 3, 0);