Fig. 5

One-dimensional least squares approximation of a hypothetical sinusoidal material function \(m^\sigma (x) = sin(2\pi n_p x)\), with \(n_p = 2.5\) being the number of periods, yields the material ’coordinates’ \(\mu _i^\sigma \). Note that the rather large deviation between the curves comes from the fact that the locations (i.e. \(x-\)coordinates) of the material control points as well as the knot vector are fixed