External Email - Use Caution        

To add to the explanation from Bruce:

It's easy to remember the sign of 'sulc' if you know that it is an abbreviation 
for 'sulcal depth' -- in that case it makes sense that it is negative for gyri.

Regarding curvature, if you do not have a background in math/physics, I would 
suggest to read the excellent Wikipedia articles on that 
(https://secure-web.cisco.com/1eM5ABlxLFULXpIV8y-bbSb1GhHvFGo1EsI-SHSsD8aFOLx16YoQsik0fRiFAbIE1JuKc9l3jty3MghbKKkwmbmQfElTgni2mARtASEccWhuu89N_woUQLU0vSJSfYE4jfICLCv45Fw3TBR-rAL3kXJjmu0t-7Rp3Evfg3SOA8LoetDPiv4u5pEm7Cjp6aEh5_Fik8-1gLocoQrbbouNpkje-HjGVzDJkUhaWcfu6epvIQwsXVuar_kJD7Gz1kQTpH5jlPficYtOMPCCMCKxMaA/https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FCurvature).
 Also read the related ones (for mean curvature, Gaussian curvature, and the 
one about principle curvatures). Afterwards it will be very clear.

Tim

--
Dr. Tim Schäfer
Postdoc Computational Neuroimaging
Department of Child and Adolescent Psychiatry, Psychosomatics and Psychotherapy
University Hospital Frankfurt, Goethe University Frankfurt am Main, Germany

> On 06/15/2021 4:53 AM Fischl, Bruce <bfis...@mgh.harvard.edu> wrote:
> 
>  
> Maybe a better way to think about curvature is that it indicates whether the 
> surface is locally above (positive) or below (negative) the tangent plane
> 
> On Jun 14, 2021, at 10:29 PM, Fischl, Bruce <bfis...@mgh.harvard.edu> wrote:
> 
> 
> Sulc is the integrated dot product of the movement vector with the (outwards 
> pointing) surface normal during inflation. In gyral regions the movement 
> vector is consistently inwards and has a negative dot product with the 
> surface normal, which is why it is negative.
> 
> As for your second question, I’m not sure I understand. The mean curvature is 
> the average of the two principle curvatures. If you think of the surface 
> locally as a height function over the tangent plane, then the two curvatures 
> are the eigenvalues of the Hessian of that function (if that helps).
> 
> Cheers
> Bruce
> 
> From: freesurfer-boun...@nmr.mgh.harvard.edu 
> <freesurfer-boun...@nmr.mgh.harvard.edu> On Behalf Of 1248742467
> Sent: Monday, June 14, 2021 9:23 PM
> To: freesurfer <freesurfer@nmr.mgh.harvard.edu>
> Subject: [Freesurfer] In Freesurfer, the sulc value of the gyrus is NOT 
> positive, on the contrary, they are negative?
> 
> 
>         External Email - Use Caution
> Hello, Fs
>  In Freesurfer, the sulc value of the gyrus is NOT positive, on the contrary, 
> they are negative?
> by the way, how the mean curvature reflects the degree of fold? Since the 
> mean curvature is a local measurement, does the mean curvature map reflects 
> the fold degree?
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