2018
DOI: 10.1007/978-3-030-00928-1_99
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Efficient Laplace Approximation for Bayesian Registration Uncertainty Quantification

Abstract: This paper presents a novel approach to modeling the pos terior distribution in image registration that is computationally efficient for large deformation diffeomorphic metric mapping (LDDMM). We develop a Laplace approximation of Bayesian registration models entirely in a bandlimited space that fully describes the properties of diffeomorphic transformations. In contrast to current methods, we compute the inverse Hessian at the mode of the posterior distribution of diffeomorphisms directly in the low dimension… Show more

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Cited by 16 publications
(7 citation statements)
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“…In addition to experimenting with different model settings, there are a number of other areas that could lead to potential improvement. As suggested in Sabuncu et al ( 2010 ), the simple data augmentation approach could probably be improved by augmenting based on the uncertainty of the image registration (Simpson et al, 2012 ; Iglesias et al, 2013 ; Wang et al, 2018 ), which would effectively “integrate out” this source of uncertainty. Such an approach would also need to consider the expected uncertainty with which target images could be aligned.…”
Section: Discussionmentioning
confidence: 99%
“…In addition to experimenting with different model settings, there are a number of other areas that could lead to potential improvement. As suggested in Sabuncu et al ( 2010 ), the simple data augmentation approach could probably be improved by augmenting based on the uncertainty of the image registration (Simpson et al, 2012 ; Iglesias et al, 2013 ; Wang et al, 2018 ), which would effectively “integrate out” this source of uncertainty. Such an approach would also need to consider the expected uncertainty with which target images could be aligned.…”
Section: Discussionmentioning
confidence: 99%
“…In addition to experimenting with different model settings, there are a number of other areas that could lead to potential improvement. As suggested in Sabuncu et al [2010], the simple data augmentation approach could probably be improved by augmenting based on the uncertainty of the image registration [Simpson et al, 2012, Iglesias et al, 2013, Wang et al, 2018, which would effectively "integrate out" this source of uncertainty. Such an approach would also need to consider the expected uncertainty with which target images could be aligned.…”
Section: Discussionmentioning
confidence: 99%
“…where σ 2 is the noise variance and M is the number of image voxels. The deformation φ −1 (Wang et al, 2018), we define a prior on the initial velocity field ṽ0 as a complex multivariate Gaussian distribution, i.e., p(ṽ…”
Section: Low-dimensional Bayesian Model Of Registrationmentioning
confidence: 99%