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'Eigenvalues'
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ugur bozkaya

Thu. 23 Feb.06,
10:10

[Reply (1 of 2) to:
'DTI FA-value'
started by: 'vic chung'
on Wed. 14 Sep.05]


 
  Category: 
Basics and Physics

 
DTI FA-value
L1,L2,L3 ae the eigenvalues of the corresponding tensor.
LM=(L1+L2+L3)/3

Numerator = 3*[(L1-LM)^2 + (L2-LM)^2 + (L3-LM)^2]
Denominator = 2*[L1^2 + L2^2 + L3^2]
FA = sqrt(Numerator / Denominator )

Another definition is as follows:

Numerator = [(L1-L2)^2 + (L2-L3)^2 + (L3-L1)^2]
Denominator = 2*[L1^2 + L2^2 + L3^2]
FA = sqrt(Numerator / Denominator )

Hope this helps.

ref: http://ajp.psychiatryonline.org/cgi/content/full/161/3/573
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