Table 3: Fractal dimension measure for different fractals, before D and after $D_{\rm sm}$ smoothing by convolution with a Gaussian of ${\it FWHM}=2$, and the relative error $\epsilon =(D-D_{\rm sm})/D$. Note that to distinguish resolution from pixelization induced effects, the error is evaluated respect to D and not to $D_{\rm th}$.
  $D_{\rm th}$ D $D_{\rm sm}$ $\epsilon$
fBm 1.80 1.516 1.366 $9.9 \%$
fBm 1.60 1.413 1.303 $7.8 \%$
von Koch 1.26 1.310 1.273 $2.8\%$

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