Approximating object onlines with Julia-Sets

[kram1032]

A recent arxiv paper algorithmically approximates shapes with Julia sets

http://blogs.scientificamerican.com/observations/2012/09/26/fractal-kitties-illustrate-the-endless-possibilities-for-julia-sets/
http://arxiv.org/pdf/1209.0143v1.pdf

Now what I immediatedely wonder is:
For those given Juliasets, how do the corresponding MSets look like?