power

Raise tensor-spline values to a positive scalar power by refitting support values.

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Declaration

 poweredSpline = power(self,exponent)

Parameters

• self TensorSpline instance
• exponent positive scalar exponent

Returns

• poweredSpline TensorSpline approximating spline.^exponent

Discussion

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

The implementation samples the spline on representative tensor support points, applies the power to those sampled values, chooses a new tensor basis, and refits the transformed samples. This is an approximation, not exact spline-space algebra.

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