knotPoints

Knot sequence used to define the spline basis.

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Discussion

This is the terminated knot vector

\[\tau = [\tau_1,\ldots,\tau_{N_k}]^\mathsf{T}\]

that defines the basis functions \(B_{j,S}(t;\tau)\). Repeating the first and last knot values K times terminates the basis at the endpoints; interior multiplicity controls continuity across knot locations.

For example, the cubic knot vector

  knotPoints = [0; 0; 0; 0; 0.3; 0.7; 1; 1; 1; 1];

defines four cubic basis functions on the domain [0, 1]. Use knotPointsForDataPoints to build a terminated knot sequence from sample locations.