Hi Ido,
indeed the algorithm used in vmtknetworkextraction is the one described in
chapter 3.
It's a very heuristic algorithm, which is not theoretically guaranteed to
preserve the same topology (in terms of Euler number) of the surface and not
guaranteed to produce centerlines that lie inside the surface.
As such, it should not be used to produce accurate descriptions of a
bifurcation. However, it is very useful to obtain a skeletonization of a
complex vascular network. There are no stric theoretical guarantees on the
topology, in the sense that it could skip two split-and-merge bifurcations,
like
----<==>----
or merge bifurcations if they are in rapid succession. However it will produce
a correct skeletonization in most practical applications.
Let me know if you need details that are not in the thesis.
Best regards
Luca
On Nov 9, 2011, at 7:57 AM, ido yerushalmy wrote:
> Hi all,
> I am trying to understand the the difference between the center-line and
> network extraction algorithms.
> I have read the Ph.D thesis of Luca Antiga
> (http://www.orobix.com/luca/AntigaPhDThesis.pdf) and understood the details
> of the center-line algorithm, which is based on a Voronoi diagram (chapter
> 5).
>
> I would like to ask:
> Does the network extraction code use the algorithm described in chapter 3 of
> the thesis: 'Topological analysis of vascular structures' ?
> How accurate is the network extraction calculation compared to the
> center-line one (especially around bifurcations) ?
>
> Best regards,
> Ido
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