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]> 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]>
> 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/
>>
>> _______________________________________________
>> HCP-Users mailing list
>> [email protected]
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>>
>
>


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

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