Gyrification analysis using conformal module (by Ronald)

After doing some literature review, we found that researchers are commonly interested in understanding the gyrification pattern at different portion. There are commonly accepted partition of the brain surface as below:














We have 40 healthy and 40 unhealthy (Williams Symdrome) subjects. Gyrification usually happens for WS patients. We would like to study its pattern for each partition. Landmarks has been labeled. We have identified the right landmarks corresponding to the boundaries of the partition. They are labeled with landmark label # as shown in the figure.

We test the partition on L1608.m (Control):












We parameterize each partition conformally onto rectangles using Yamabe flow. Results show that each portion is mapped to different rectangles with different dimensions. We can use the conformal module to study the gyrification pattern:


















To compare the shape distance for each portion between different subjects, we can use the Teichmuller shape distance:



















Experimental results is as follow: