Towards a BCH-Free Computation of the Composition of Stationary Velocity Fields
MRes Thesis in medical image analysis presented at UCL, studying and comparing a range of numerical method for the Computation of the log-composition of stationary velocity Fields (SVF):
where
and
are SVF and the log and
exp functions are the Lie logarithm and the Lie exponential.
This numerical problem arises in a range of diffeomorphic image registration algorithms, where the deformations are parametrised in
the tanget space with SVF.