Estimating diffeomorphic mappings between templates and noisy data: Variance bounds on the estimated canonical volume form

D. J. Tward, P. P. Mitra, and M. I. Miller, in Quarterly of applied mathematics

We derived the Cramer Rau bound for estimating volume changes from deformable image registration, which is a lower bound on the variance of an estimator. We demonstrated its implications for image registration performance in asymmetric methods versus symmetric methods, the former generally performing better.