valueAtPoints

Evaluate the spline or one of its derivatives at arbitrary points.

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Declaration

 x_out = valueAtPoints(self,t,options)

Parameters

• self BSpline instance
• t evaluation points
• options.D derivative order to evaluate

Returns

• x_out array matching the shape of t

Discussion

This is the primary explicit evaluation method. Pass D=0 for spline values, D=1 for the first derivative, and so on.

The returned array represents

\[f^{(D)}(t) = x_{\mathrm{Std}} \sum_{j=1}^{M} \xi_j B_{j,S}^{(D)}(t;\tau),\]

with xMean added back only when D=0.

  x = spline.valueAtPoints(tQuery);
  d2x = spline.valueAtPoints(tQuery, D=2);