Hello,
How is the distortion calculated by 'mris_jacobian' defined?

Based on this post
http://www.mail-archive.com/freesurfer@nmr.mgh.harvard.edu/msg05419.html

I'm guessing that the output of 
mris_jacobian lh.white lh.sphere.reg lh.jacobian_white

is identical to the "metric distortion" measure used in Wisco et al.
2007; i.e., area of a triangle on lh.sphere.reg divided by area of a
triangle on lh.white, normalized for the total surface area of each
surface (which is done automatically by 'mris_jacobian' unless you
specify the -noscale flag).

Is this correct?

If so, the Wisco (mris_jacobian) definition of "metric distortion" seems
quite different from what is used in the energy functionals that control
the inflation and registration processes, where the term for metric
distortion is defined using the distance between corresponding vertices
in the two surfaces.  

Is there some relationship between these two different definitions of
distortion?

thanks,
Mike H.


-- 
Michael Harms, Ph.D.
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Conte Center for the Neuroscience of Mental Disorders
Washington University School of Medicine
Department of Psychiatry, Box 8134
Renard Hospital, Room 6615           Tel: 314-747-6173
660 South Euclid Ave.                Fax: 314-747-2182
St. Louis, MO 63110                  Email: mha...@wustl.edu
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