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Dear FreeSurfer experts,




I have a question about the interpretation of the vertex-wise area metric. For 
instance, if Vertex A had a larger area than Vertex B, then what's the 
difference between Vertex A and Vertex B biologically? 




Based on my simple (probably wrong) understanding of the surface reconstruction 
process, the initial surface was created based on the GM-WM boundary voxels, in 
which the face of a voxel was divided into two triangles and the area of the 
triangles was equal. But after the refinement of the initial surface, the 
triangle area was not uniform any more. So what factors may explain the 
expansion or contraction of the surface triangles? I believe these factors may 
help me understand the vertex-wise area metric. Maybe I should treat the vertex 
and the triangles around it as a whole, which is the unit of comparison. For 
instance, the Vertex A having a larger area means the area of triangels around 
Vertex A is larger. This kind of interpretation would make the comparsion 
between Vertex A and B biologically meaningless.





From another perspective, in the voxel-based morphometry (VBM),  the voxel size 
is fixed and the volume is the proportion or probability of GM (or other tissue 
types) in the voxel. In the surface case, if the triangle size is kept fixed, 
the area is proportial to the number of triangles, which is conceptually 
similar to the VBM approach. Why FreeSurfer did not choose this kind of 
approach? Sorry if this question is not reasonable, as I did not have a strong 
technical background. 





Best,




Yang Hu
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