Figure 4.15: Shamrock reconstruction: comparing the original curve with those found for m = 12 and m = 18. Curves for m ≥ 20 are visually indistinguishable from the original curve. The shape signatures are given at the bottom. of radius r is shown in green along with corresponding location in the signature; note that the shamrock is not tangent-cone graph-like with this radius. When comparing and interpreting the shamrock curves, it is important to note that the scale of the curves is determined entirely by the fit parameters a$_{i,j}$ . On the other hand, as the density signature is independent of curve rotation, the rotation is eyeball 113