Creating the mean FA image and its skeleton
- all subjects' FA images are aligned to the most typical subject
- affine-transform the entire aligned dataset into 1*1*1 mm^3 MNI152 space (easy to interpret and display)
- choose higher resolution to avoid partial volume effect and interpolation blurring; too high will result in slower computation and unnecessarily large data files
- a mean FA image is created; relatively smooth locally because of averaging as well as resolution upsampling.
- the mean FA is fed into the tract skeleton generation, which represent all tracts with are "common" to all subjects.
- corpus callosum is sheet-like, therefore the skeleton should run along the center of the sheet
- cingulum bundle is tube-like, , therefore the skeleton should run along the center of the tube
- estimate the local surface perpendicular direction and then perform non-maximum-suppression, i.e. a voxel with highest FA in perpendicular direction of the tract is identified as the centre of the tract.
- Local FA centre-of gravity is used in the first stage of skeletonization
- FA image second derivative is used in the second stage of skeletonization
- If the voxel of interest lies away from a tract centre, FA will be higher in the neighbouring voxels on one side of the voxel than on the other - the direction in which it is highest points towards the nearest tract centre (this took me a while to digest).
- regularise the estimated tract perpendicular direction in order to improve estimation robustness
- search for the centre of each tract; if the FA value is greater than the neighbouring values, then the voxel is marked as lying on the skeleton.
- The FA skeleton need to be thresholded to restrict further analysis to points which are within white matter which has been successfully aligned across subjects.
- thresholding between 0.2 and 0.3 successfully excludes voxels which are primarily grey matter or CSF in the majority of subjects
- Skeleton may tend to be disconnected because the tract perpendicular direction is not well-defined at junctions
- a more sophisticated projection method specifically for junctions needs to be developed
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