Fig. 4.
Illustration of our general framework for surface-constrained volume registration. We first compute the map v from brain manifold (N, I) to the unit ball to form manifold (N, h). We then compute a map ũ from brain (M, I) to (N, h). The final harmonic map from (M, I) to (N, I) is then given by u = v−1 ○ ũ.