hello, 
I actually work with this article, Thank you very much for your help.

Regards.

Le jeudi 6 février 2014 09:42:23 UTC+1, Jordi Inglada a écrit :
>
> milou <[email protected] <javascript:>> wrote: 
> > 
> > hello, 
> > on Bayesian fusion, the general formulation is: 
> > y = Z + E, here are the input images the multispectral and the 
> panchromatic one for example, and Z is the fusion image (the output image) 
> is this equation means the medele of Bayesian data fusion? 
> > 
>
> Hi, 
>
> Here goes a description of the method implemented in OTB which uses this 
> paper: 
>
> @ARTICLE{fasbender-radoux, 
> author={Fasbender, D. and Radoux, J. and Bogaert, P.}, 
> journal={Geoscience and Remote Sensing, IEEE Transactions on}, 
> title={Bayesian Data Fusion for Adaptable Image Pansharpening}, 
> year={2008}, 
> month=jun , 
> volume={46}, 
> number={6}, 
> pages={1847 -1857}, 
> keywords={Bayesian data fusion;IKONOS images;SAR;adaptable image 
> pansharpening;hyperspectral image fusion;multispectral image;optical Earth 
> observation satellites;panchromatic sensor;spatial resolution multispectral 
> sensors;wavelet-based methods;geophysical techniques;image fusion;remote 
> sensing;}, 
> doi={10.1109/TGRS.2008.917131}, 
> ISSN={0196-2892},} 
>
> ------------------------ 
> The Bayesian Data Fusion (BDF) method developed by Fasbender et 
> al. \cite{fasbender-radoux} estimates the statistical link between the 
> HR and the LR images in order to find the most probable value for a HR 
> pixel given the LR one. 
>
> A simple sensor model for the observed pixels, 
>
> $$ Y = g(Z) + E, $$ 
>
> is used, where $g(.)$ are the sensor function and $E$ is random noise. 
>
> This statistical link is represented by the conditional probability of 
> the high resolution multi-spectral value (the fused pixel), $z$, when 
> the high resolution panchromatic pixel, $y_P$, and the low resolution 
> multi-spectral pixel, $y_S$, are known: 
>
> $$ f(z \vert y_S , y_P) \propto f_Z(z) \times f_{E_S} \times f_{E_P}. $$ 
>
> The authors introduce the additional possibility of giving different 
> confidence levels to the panchromatic and the multi-spectral images by 
> slightly modifying the formulation to: 
>
> $$ f(z \vert y_S , y_P) \propto f_Z(z) \times f_{E_S}^{2(1-w)} \times 
> f_{E_P}^{2w}, $$ 
>
> where $w \in ]0,1[$ is a weight parameter. A low value for $w$ gives 
> more weight to the multi-spectral data. 
> ------------------------ 
>
> I have copied this verbatim from a report I wrote a while ago. I think 
> that Julien Radoux is on this mailing list. He may correct or complete 
> the information. 
>
> Jordi 
>
>
> > thank you. 
> > 
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