Hi I am currently reading:(adsbygoogle = window.adsbygoogle || []).push({});

http://www.cs.cornell.edu/~asaxena/learningdepth/saxena_ijcv07_learningdepth.pdf

which deals with reconstructing depth from a single still image.

A gaussian multiscale markov random field is trained in a supervised context where the model is shown below:

http://img534.imageshack.us/img534/1259/combineda.jpg [Broken]

now this model is converted into a standard multivariate gaussian (indicated by the arrow) but how is that conversion possible? I have read that it basically is a matter of completing the square but is there some more detailed explanation for this somewhere besides:

http://en.wikipedia.org/wiki/Completing_the_square

which don't really describe the techniques used on markov random fields.

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# Converting a Gaussian Markov random field

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