S

Polynomial degree S = K - 1.

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Description

Real valued property with no dimensions and no units.

Discussion

The degree is the highest power that appears in each local polynomial piece:

\[p_i(t) = a_{i,0} + a_{i,1}(t-t_i) + \cdots + a_{i,S}(t-t_i)^S.\]

Degree S=0 is piecewise constant, S=1 is piecewise linear, S=2 is quadratic, and S=3 is cubic. The matching order is K, with K = S + 1.

  spline = BSpline(S=3, knotPoints=knotPoints, xi=xi);
  spline.S
  % returns 3 for a cubic spline

A cubic spline is K=4, S=3