Hello Burke,
   you might want to check out
https://github.com/NeuroanatomyAndConnectivity/surfdist . It works
directly on Freesurfer output. The approach is described here:
Margulies, D.S., Falkiewicz, M. and Huntenburg, J.M., 2016. A cortical
surface-based geodesic distance package for Python. GigaScience,
5(suppl_1), pp.19-20;
https://gigascience.biomedcentral.com/articles/10.1186/s13742-016-0147-0

I hope that helps!

Cheers,
  Marcel

2017-03-31 0:19 GMT+02:00 Burke Rosen <bqro...@gmail.com>:
> I am interested in finding the distance between two vertices along the
> cortical surface.
>
> So far I have used two methods:
>
> (1) Compute the shortest path with a variant of Dijkstra's algorithm on the
> white surface.
>
> (2) Compute the great circle distance on the sphere surface.
> (as done by Risk et.al. 2016 Neuroimage)
>
> Method (1) is slow and will tend to overestimate distances as the path only
> goes along mesh edges.
>
> Method (2) is very fast and gives a true geodesic but gives a scaled result
> because the radius of  sphere surface is arbitrary; also this method is
> subject to distortions introduced by the inflation algorithm.
>
> My current strategy is to perform a linear regression between the triangle
> face areas of the sphere and white surfaces. And then apply the coefficients
> to the sphere surface diameter before calculating geodesic distances. This
> yields a distance matrix with a similar pattern to the Method (1) at about
> 62% scale. That scale seems like it might be reasonable. However, the
> regression only explains ~58% of the variance. My hunch is that the rest is
> due to inflation distortions.
>
> Is there a better way of scaling the sphere surface? Or a way to inflate in
> such a way that inter-vertex distances are preserved? Or, more generally,
> what is a good method of computing geodesic distances on freesurfer
> surfaces.
>
> Thank you,
>
> Burke Rosen
>
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