Hi all,

I have a problem concerning the measurement of similarity between two images 
(or matrices).
I was redirected here from the sci.stat.consult list (see 
https://groups.google.com/forum/?fromgroups=#!topic/sci.stat.consult/e6KzgKPY2V8).
 

I need a method to quantify similarity between two (same dimensions, grayscale) 
images. However, it is important that this method takes spatial 
relation/neighborhood into account. 

An over-simplified example that however demonstrates why I am not really 
satisfied with sth like RMS (or any pixel-by-pixel comparison) is given here:

  The method should be able to "show" that these images are quite similar: 
  http://cluster010.ovh.net/~myvideoc/R20130305/expl02.png 

  While these are not: 
  http://cluster010.ovh.net/~myvideoc/R20130305/expl01.png

Here is an example of two images (cardiac polar plots of the left ventricular 
myocardium) that I am in fact interested in: 

  http://cluster010.ovh.net/~myvideoc/R20130305/polar-comp.png

From a doctor's perception consistency and agreement in the example above would 
be rather high.

I need a method to quantify consistency and agreement between two imaging 
modalities (MRI and PET) based on these polar plots. However, it is important 
that this method is quite robust against slight miss-alignements between those 
plots which definitely occur as the heart is steadily moving while we are doing 
image acquisitions.  
Disclaimer: I am a radiologist (with some interest in statistics and quite some 
experience in bioinformatics). However, I am not a statistician. So please 
forgive any inaccuracies in my question. I'll do my best to put is as precise 
as possible.

Thank you very much in advance,

Felix

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