Bridge Simulation and Metric Estimation on Landmark Manifolds

31 May 2017Stefan SommerAlexis ArnaudonLine KuhnelSarang Joshi

We present an inference algorithm and connected Monte Carlo based estimation procedures for metric estimation from landmark configurations distributed according to the transition distribution of a Riemannian Brownian motion arising from the Large Deformation Diffeomorphic Metric Mapping (LDDMM) metric. The distribution possesses properties similar to the regular Euclidean normal distribution but its transition density is governed by a high-dimensional PDE with no closed-form solution in the nonlinear case... (read more)

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