Diffusion Bridges for Stochastic Hamiltonian Systems and Shape Evolutions

  title={Diffusion Bridges for Stochastic Hamiltonian Systems and Shape Evolutions},
  author={Alexis Arnaudon and Frank van der Meulen and Moritz Schauer and Stefan Sommer},
  journal={SIAM J. Imaging Sci.},
Stochastically evolving geometric systems are studied in shape analysis and computational anatomy for modelling random evolutions of human organ shapes. The notion of geodesic paths between shapes is central to shape analysis and has a natural generalisation as diffusion bridges in a stochastic setting. Simulation of such bridges is key to solve inference and registration problems in shape analysis. We demonstrate how to apply state-of-the-art diffusion bridge simulation methods to recently… 

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