Is there an easily quantifiable relationship between the white and pial surfaces? Such as:
pial_vertex = white_vertex + vertex_thickness*vertex_normal;
I understand that vertex_normals could be computed in different ways (Eg, Desbrun et al 2000). If so, could we find out which computation scheme is used (a reference would be sufficient)?
Thanks,
Satra
Hi Satra,
sorry, there is no such easy relationship as the surfaces are not necessarily parallel. The vertex normals are the ccw cross product of the triangle legs, I believe (you should be able to load the ?h.sphere surface into matlab and check easily enough).
Bruce
On Mon, 31 May 2004, Satrajit Ghosh wrote:
Is there an easily quantifiable relationship between the white and pial surfaces? Such as:
pial_vertex = white_vertex + vertex_thickness*vertex_normal;
I understand that vertex_normals could be computed in different ways (Eg, Desbrun et al 2000). If so, could we find out which computation scheme is used (a reference would be sufficient)?
Thanks,
Satra
Hi Bruce,
Thanks for your reply. I have just one more question framed in two different ways for clarifying the situation further:
Does this mean if a certain labeling was applied to the white matter surface, it could produce errors in labeling on the pial surface if the labels were transfered 1:1? Alternatively, does this non-parallelism distort vertex to "region" correspondence (especially at the boundaries of "regions"), i.e. a vertex on the white matter surface belongs to region A but the corresponding vertex on the pial surface might belong to a different region B?
[Assuming "regions" are defined by normals cutting through the cortical sheet at the fundus of sulci or at the crown of the gyri].
Thanks,
Satra
On Mon, 31 May 2004, Bruce Fischl wrote:
Hi Satra,
sorry, there is no such easy relationship as the surfaces are not necessarily parallel. The vertex normals are the ccw cross product of the triangle legs, I believe (you should be able to load the ?h.sphere surface into matlab and check easily enough).
Bruce
On Mon, 31 May 2004, Satrajit Ghosh wrote:
Is there an easily quantifiable relationship between the white and pial surfaces? Such as:
pial_vertex = white_vertex + vertex_thickness*vertex_normal;
I understand that vertex_normals could be computed in different ways (Eg, Desbrun et al 2000). If so, could we find out which computation scheme is used (a reference would be sufficient)?
Thanks,
Satra
freesurfer@nmr.mgh.harvard.edu