The Computational Anatomy project is the morphome-scale study of shape and form, which
we model as an orbit under diffeomorphic group action. Metric comparison calculates the …

This technology report describes the longitudinal registration approach that we intend to
incorporate into SPM12. It essentially describes a group-wise intra-subject modeling …

In the framework of large deformation diffeomorphic metric mapping (LDDMM), we present a
practical methodology to integrate prior knowledge about the registered shapes in the …

How does one derive models of dynamical feedback effects in multiscale, multiphysics
systems such as wave mean flow interaction (WMFI)? We shall address this question for …

We develop a framework for polynomial regression on Riemannian manifolds. Unlike
recently developed spline models on Riemannian manifolds, Riemannian polynomials offer …

We investigate higher-order geometric k-splines for template matching on Lie groups. This is
motivated by the need to apply diffeomorphic template matching to a series of images, eg, in …

The solution to the problem of finding a time-optimal control Hamiltonian to generate a given
unitary gate, in an environment in which there exists an uncontrollable ambient Hamiltonian …

We show that ResNets converge, in the infinite depth limit, to a generalization of image
registration algorithms. In this generalization, images are replaced by abstractions (ideas) …

In order to detect small-scale deformations during disease propagation while allowing large-
scale deformation needed for inter-subject registration, we wish to model deformation at …

The Lax pair formulation of the two-component Camassa–Holm equation (CH2) is
generalized to produce an integrable multi-component family, CH (n, k), of equations with n …