[Insight-developers] Gaussian Distribution on DTI

[mostafa charmi]

Hi Luis,

Thanks for your attention. Sorry for reply your email so late.

As you know, tensors in DTI images lie on specific manifold in Riemannian
spaces.
Parametric [1] and nonparametric [2] statistical models were defined for
tensors in Riemannian DT spaces. Lenglet et al.[1] present a Riemannian
distance measure between tensors and model each class by a single Gaussian
in the Riemannian space. it seems itk need to be developed to have such
statistical models.I want to use such Gaussian distribution for my thesis.

I am looking forward to hear you.

Best Wishes,   Mostafa

[1] *DTI segmentation by statistical surface evolution
*Lenglet, C.; Rousson, M.; Deriche, R.
Medical Imaging, IEEE Transactions on
Volume 25, Issue 6, June 2006 Page(s): 685 - 700

[2] *A Fuzzy, Nonparametric Segmentation Framework for DTI and MRI Analysis:
With Applications to DTI-Tract Extraction*
Awate, S.P.; Zhang Hui; Gee, J.C.
Medical Imaging, IEEE Transactions on
Volume 26, Issue 11, Nov. 2007 Page(s):1525 - 1536



On Wed, Jul 23, 2008 at 5:48 PM, Luis Ibanez <luis.ibanez at kitware.com>wrote:

[1]

>
> Hi Mostafa,
>
> Could you please describe more precisely the functionality that
> you are looking for ?
>
> Do you want to compute a Gaussian smoothing over a DTI image
> in the space of the Tensors ?
>
> Or do you actually want to compute a Gaussian distribution in
> the Tensor space ?
>
>
>  Please be more specific.
>
>
>     Thanks
>
>
>        Luis
>
>
>
> -----------------------
> mostafa charmi wrote:
>
>> Dear friends,
>>
>> I need to compute Gaussian distribution for DTI data which rely on
>> Riemannian manifold. I could not find any way to compute the parameter of
>> such statistics in itk. It seems itk needs to develop to include such
>> capability.
>>
>> I will be grateful if you could help.
>>
>> Bests,   Mostafa
>>
>>
>>
>> ------------------------------------------------------------------------
>>
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>>
>
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