[Insight-users] Euler-Lagrange Equation in ITK

Abayiz abayiz at yahoo.com
Thu Jul 14 09:08:46 EDT 2011


Hi Juan,

Thank you for your answer. 

I thought there might be a kind of unique class to solve them. Seems like I have to do it in a different way. 

Regards. 

--- On Thu, 7/14/11, Juan Cardelino <juan.cardelino at gmail.com> wrote:

> From: Juan Cardelino <juan.cardelino at gmail.com>
> Subject: Re: [Insight-users] Euler-Lagrange Equation in ITK
> To: "Abayiz" <abayiz at yahoo.com>
> Cc: insight-users at itk.org
> Date: Thursday, July 14, 2011, 7:21 AM
> The Eulear-Lagrange is not a
> particular differential equation. It is
> the equivalent of the derivative but applied to energy
> functionals. So
> for each different Energy functional you 'derive' it and
> get a
> different set of Euler-Lagrange Equations.
> I don't think it is possible to have a unique class to
> solve them,
> because they could have very different form.
> 
> On the other hand, many of the level set methods available
> in ITK use
> an Euler-Lagrange formulation, so you could dig a bit in
> the L-S
> framework.
> 
> Hope this helps.
> Regards,
>                
>   Juan
> 
> On Thu, Jul 14, 2011 at 5:36 AM, Abayiz <abayiz at yahoo.com>
> wrote:
> > Hello all,
> >
> > I need to calculate the Euler-Lagrange differential
> equation in ITK. Is there any way to do that?
> >
> > Thanks in advance.
> >
> > Regards,
> > Abayiz
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