Moment evolution equations and moment matching for stochastic image EPDiff

• URL: http://arxiv.org/abs/2110.03337v1
• Date: Thu, 7 Oct 2021 11:08:11 GMT
• Title: Moment evolution equations and moment matching for stochastic image EPDiff
• Authors: Alexander Christgau, Alexis Arnaudon and Stefan Sommer
• Abstract summary: Models of image deformation allow study of time-continuous effects transforming images by deforming the image domain. Applications include medical image analysis with both population trends and random subject specific variation. We use moment approximations of the corresponding Ito diffusion to construct estimators for statistical inference in the parameters full model.
• Score: 68.97335984455059
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Models of stochastic image deformation allow study of time-continuous stochastic effects transforming images by deforming the image domain. Applications include longitudinal medical image analysis with both population trends and random subject specific variation. Focusing on a stochastic extension of the LDDMM models with evolutions governed by a stochastic EPDiff equation, we use moment approximations of the corresponding Ito diffusion to construct estimators for statistical inference in the full stochastic model. We show that this approach, when efficiently implemented with automatic differentiation tools, can successfully estimate parameters encoding the spatial correlation of the noise fields on the image

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