Langevin Equations for Landmark Image Registration with Uncertainty

DOI10.1137/16M1079282zbMath1400.92304arXiv1605.09276MaRDI QIDQ4689629

Stephen Marsland, Tony Shardlow

Publication date: 17 October 2018

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.09276

zbMATH Keywords

shapeLangevin equationBayesian statisticslandmarksimage registrationSDEs

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Biomedical imaging and signal processing (92C55)

Related Items (7)

Diffusion Bridges for Stochastic Hamiltonian Systems and Shape Evolutions ⋮ A geometric framework for stochastic shape analysis ⋮ Moment evolution equations and moment matching for stochastic image EPDiff ⋮ Differential geometry and stochastic dynamics with deep learning numerics ⋮ Langevin Equations for Landmark Image Registration with Uncertainty ⋮ Analysing `simple' image registrations ⋮ String methods for stochastic image and shape matching

Uses Software

• Python

Cites Work

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• Sampling conditioned hypoelliptic diffusions
• Simulation of conditioned diffusion and application to parameter estimation
• Bayesian inference for nonlinear multivariate diffusion models observed with error
• Analysis of SPDEs arising in path sampling. II: The nonlinear case
• Bayesian data assimilation in shape registration
• Shape splines and stochastic shape evolutions: A second order point of view
• Principal warps: thin-plate splines and the decomposition of deformations
• Random Perturbations of Dynamical Systems
• Analysis of the geodesic interpolating spline
• N-particle dynamics of the Euler equations for planar diffeomorphisms
• Splitting for Dissipative Particle Dynamics
• Langevin Equations for Landmark Image Registration with Uncertainty
• References
• Variational principles for stochastic fluid dynamics
• Variational principles for stochastic soliton dynamics
• Simulation of Multivariate Diffusion Bridges
• GEOMETRIC ERGODICITY FOR DISSIPATIVE PARTICLE DYNAMICS
• Shapes and diffeomorphisms

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