content_image/319064.jpg
<img src='content_image/319064.jpg'>

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 

