power

Raise spline values to a real scalar power by refitting support values.

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Declaration

 poweredSpline = power(spline,exponent)

Parameters

• spline BSpline instance
• exponent scalar exponent

Returns

• poweredSpline BSpline approximating spline.^exponent

Discussion

This is useful for simple nonlinear transforms of a spline when an exact spline-space representation is not available.

The implementation samples the spline at representative support points, forms values.^exponent, and fits a new spline to those transformed samples. When the transformed samples are nonnegative up to tolerance, it uses a positive constrained fit; otherwise it uses an unconstrained fit.

  squaredSpline = spline.^2;
  rootSpline = spline.^(1/2);