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Discussion Groups | Image Signal Processing | Why Gaussian Models ?

Technical Discussions related to Image Processing (image coding, compression, digital effects, mpeg, etc)

  

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Why Gaussian Models ? - fido...@gmail.com - Jun 6 8:02:14 2008



Hi All,

  I might be asking trivial question,but i am forced to ask. I need to know why is it most of
the application in signals processing and image processing use Gaussian models . For example in
image pattern recoginzation and in Background subtraction which uses Gaussian Mixture model.
Please can someone help me out with this.

Thanks in advance
Fido 

------------------------------------



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Re: Why Gaussian Models ? - laks...@gmail.com - Jul 25 17:17:15 2008

i guess Central Limit Theorem..

Hi All,
>
>  I might be asking trivial question,but i am forced to ask. I need to know why is it most
of the application in signals processing and image processing use Gaussian models . For example
in image pattern recoginzation and in Background subtraction which uses Gaussian Mixture model.
Please can someone help me out with this.
>
>Thanks in advance
>Fido 
>
>------------------------------------

------------------------------------



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Re: Why Gaussian Models ? - rama...@ecel.ufl.edu - Jul 28 12:10:04 2008

gaussian models are useful because they lead to mathematically simple  
solutions, with most often closed form solutions.
Quoting f...@gmail.com:

> Hi All,
>
>   I might be asking trivial question,but i am forced to ask. I need   
> to know why is it most of the application in signals processing and   
> image processing use Gaussian models . For example in image pattern   
> recoginzation and in Background subtraction which uses Gaussian   
> Mixture model. Please can someone help me out with this.
>
> Thanks in advance
> Fido
>

------------------------------------



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Re: Why Gaussian Models ? - Mamo - Jul 28 16:14:41 2008

Estimation problems are everywhere in Signal/Image processing 
applications and Gaussian models are the best PSF in representing 
many natural processes relating to Signals and systems. Consider 
image degradation problem caused by atmospheric bluring of an image 
by a Gausian like PSF--Closely related to the heat equation. When 
trying to estimate an unobservable process from its model Random 
variable, the Gausian fits many real life problems. Isn't difusion 
very common phenomenon? Well, ones you model your data in a Gausian, 
you will have simpler, closed form recursive solution to your Min/Max 
estimations problem using methods like MLEM, PML, or recursive Kalman 
filter.......Khalid Gidaya.
--- In i...@yahoogroups.com, ramachan@... wrote:
>
> gaussian models are useful because they lead to mathematically 
simple  
> solutions, with most often closed form solutions.
> Quoting fido.genial@...:
> 
> > Hi All,
> >
> >   I might be asking trivial question,but i am forced to ask. I 
need   
> > to know why is it most of the application in signals processing 
and   
> > image processing use Gaussian models . For example in image 
pattern   
> > recoginzation and in Background subtraction which uses Gaussian   
> > Mixture model. Please can someone help me out with this.
> >
> > Thanks in advance
> > Fido
> 
------------------------------------



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