Hi Amanda,

wb_command -surface-vertex-areas does this.

Peace,

Matt.

From: 
<[email protected]<mailto:[email protected]>>
 on behalf of Amanda Mejia <[email protected]<mailto:[email protected]>>
Date: Tuesday, April 17, 2018 at 5:52 PM
To: Timothy Coalson <[email protected]<mailto:[email protected]>>
Cc: hcp-users 
<[email protected]<mailto:[email protected]>>
Subject: Re: [HCP-Users] cortical surface vertex spacing in 32K

I see, thanks for clarifying.  Is it possible to calculate the total surface 
area that each vertex is responsible for, on average?  I'm resampling to a 
lower resolution and want to be able to report the before-and-after average 
vertex "size".  I'd be happy to report the average spacing between vertices 
after resampling instead, if that can be computed.

On Tue, Apr 17, 2018 at 5:41 PM, Timothy Coalson 
<[email protected]<mailto:[email protected]>> wrote:
The average cortical thickness in humans is somewhere around 2.5mm, so you 
don't have multiple layers of voxels, you have barely over 1 layer on average, 
in theory.  Diagonals make this more complicated, of course.

The vertices are also not laid out as a grid, they are instead a triangular 
mesh - similar to hexagonal close-packing, this allows more of them to fit in a 
defined surface area with a given distance between them than a grid layout 
(like voxels) would.

As you hint at, the cortical surfaces have spherelike topology, and a number of 
those vertices are in the "medial wall", where the single-hemisphere surfaces 
cut through the corpus callosum.  We use just under 30k vertices per hemisphere 
for the cortex itself, out of the 32k vertices in the full surface.

Finally, the 2mm spacing is somewhat approximate (it was adjusted empirically, 
not directly controlled), and it is not entirely even across the anatomical 
surfaces - some difference in stretching is inevitable because a brain inflates 
to something more like a football than a sphere, and we use fully regular 
spherical topologies for our current atlases.

Tim


On Tue, Apr 17, 2018 at 9:11 AM, Amanda Mejia 
<[email protected]<mailto:[email protected]>> wrote:
In the HCP FAQ and several HCP-related publications (e.g., A Multi-modal 
Parcellation of Human Cerebral Cortex by Glasser et al.), there is a statement 
about the surface vertices in 32K resolution and the 2mm isotropic voxels being 
on a "similar scale".  The aforementioned paper further states that the average 
cortical vertex spacing is 2mm.  If I'm reading this correctly, this would 
imply that the average distance in two dimensions between each vertex is 
similar to the distance between two 2mm voxels in a *single* layer.  This would 
seem to imply that since the cortical ribbon in volumetric space is several 
voxels thick, each vertex would be equivalent to multiple voxels.  But this 
isn't consistent with the fact that there are a similar number of cortical gray 
matter 2mm voxels and cortical surface vertices (~60,000 across both 
hemispheres).  It would seem to me that the only way to keep the number of 
locations the same, while transforming the data from multiple layers (of 
voxels) to a single layer (of vertices) would be to make the vertices closer 
together than 2mm.  Can someone please clarify?

Amanda

--
AMANDA F MEJIA, PhD
Assistant Professor
Department of Statistics
Indiana University Bloomington
https://mandymejia.wordpress.com/


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--
AMANDA F MEJIA, PhD
Assistant Professor
Department of Statistics
Indiana University Bloomington
https://mandymejia.wordpress.com/


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