Cool, thanks!

On Tue, Apr 17, 2018 at 6:59 PM, Glasser, Matthew <[email protected]>
wrote:

> Hi Amanda,
>
> wb_command -surface-vertex-areas does this.
>
> Peace,
>
> Matt.
>
> From: <[email protected]> on behalf of Amanda Mejia <
> [email protected]>
> Date: Tuesday, April 17, 2018 at 5:52 PM
> To: Timothy Coalson <[email protected]>
> Cc: hcp-users <[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]> 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]
>>> http://lists.humanconnectome.org/mailman/listinfo/hcp-users
>>>
>>
>>
>
>
> --
> AMANDA F MEJIA, PhD
> Assistant Professor
> Department of Statistics
> Indiana University Bloomington
> https://mandymejia.wordpress.com/
>
> _______________________________________________
> HCP-Users mailing list
> [email protected]
> http://lists.humanconnectome.org/mailman/listinfo/hcp-users
>



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

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