[Insight-users] Regularization type with Demons

[Luis Ibanez]

Hi Miki,

The Demons filter takes advantage of the fact that a
Gaussian smoothing is "equivalent" to a L2 regularization.

Where "equivalent" here means: "is close enough"

If you want to replace this norm, you will have to make
significant modifications to the code of the Demons
filter.

It will be interesting to see if you find a way of refactoring
the filter in such a way that different types of regularization
can be used. That will be a great paper for the Insight
Journal  (http://www.insight-journal.org).     :-)


      Luis



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On Fri, Jun 11, 2010 at 4:55 AM, Miki Maric <mikimaric1975 at gmail.com> wrote:

> Hello to all,
>
> As I understand PDE implementation of Thirion Demons,  Tikhonov type of
> regularizer is used (L2 norm).
> Is there are possibility to implement other type of regularizer namely L1?
>
> How to change smoother in this framework? (How to integrate Total Variation
> norm in it? Is it possible? Maybe by implementing
> itkTotalVariationDenoisingFilter instead of Gaussian?)
>
>
> Thanks,
>
> Miki
>
>
>
>
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