6 papers
Planar Curve Registration using Bayesian Inversion
Andreas Bock, Colin J. Cotter, Robert C. Kirby
We study parameterisation-independent closed planar curve matching as a Bayesian inverse problem. The motion of the curve is modelled via a curve on the diffeomorphism group acting…
Preconditioner Design via the Bregman Divergence
Andreas Bock, Martin S. Andersen
We study a preconditioner for a Hermitian positive definite linear system, which is obtained as the solution of a matrix nearness problem based on the Bregman log determinant diver…
Learning landmark geodesics using Kalman ensembles
Andreas Bock, Colin J. Cotter
We study the problem of diffeomorphometric geodesic landmark matching where the objective is to find a diffeomorphism that via its group action maps between two sets of landmarks.…
A note on error analysis for a nonconforming discretisation of the tri-Helmholtz equation with singular data
Andreas Bock, Colin Cotter
We apply the nonconforming discretisation of Wu and Xu (2019) to the tri-Helmholtz equation on the plane where the source term is a functional evaluating the test function on a one…
Space-time metamorphosis
Andreas Bock, Colin Cotter
We study the problem of registering images. The framework we use is metamorphosis and we construct a variational Eulerian space-time setting and pose the registration problem as an…
Selective metamorphosis for growth modelling with applications to landmarks
Andreas Bock, Alexis Arnaudon, Colin Cotter
We present a framework for shape matching in computational anatomy allowing users control of the degree to which the matching is diffeomorphic. This control is given as a function…