[Insight-developers] new algorithms proposal - semi-implicit level set methods

[Arnaud GELAS]

  Hi Mariana,

This is really interesting work and it is really timely, since we are 
going to refactor the level set framework for ITKv4. I think that would 
be really great if we could share with you your experience on level sets 
and especially on the semi implicit level set methods, and what would be 
the best way to benefit from this technique which is, as of now, not 
present in ITK.

Thanks for contributing this work to the ITK community!

Arnaud

On 08/11/2010 09:03 AM, Mariana Remesikova wrote:
> Hello,
> I'm Mariana Remesikova from the Department of Mathematics of the
> Slovak University of Technology. Together with my colleagues, we would
> like to add several algorithms (classes) to the ITK library. I have
> understood that the first step is to propose the algorithms in the
> developers list.
> Particularly, we would like to implement algorithms for image
> denoising, segmentation and counting of the objects in the image. All
> these methods are based on level set equations. What would be new, in
> our opinion, are the numerical methods for solving the equations. We
> have developed a strategy based on semi-implicit time approximation,
> that makes the numerical solution unconditionally stable. As a
> consequence, there are no severe restrictions for the time step of the
> discretization and the methods are robust.
> The algorithms have been extensively tested and successfully used
> especially in biomedical applications, but they are not limited to
> this field. They were described in detail in several papers, the most
> relevant is the following
>
> Paul Bourgine, Róbert Čunderlík, Olga Drblíková-Stašová, Karol Mikula,
> Mariana Remešíková, Nadine Peyriéras, Barbara Rizzi and Alessandro
> Sarti, 4D Embryogenesis image analysis using PDE methods of image
> processing, Kybernetika 46 no. 2, 226-259, 2010.
> http://www.kybernetika.cz/content/2010/2/226/paper.pdf
>
> For the moment, the algorithms are implemented in C and adjusting them
> according to the ITK standard should be straightforward.
>
> Greetings to all,
>
> Mariana Remesikova
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