2020
DOI: 10.1007/s11263-020-01343-w
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Learning the spatiotemporal variability in longitudinal shape data sets

Abstract: In this paper, we propose a generative statistical model to learn the spatiotemporal variability in longitudinal shape data sets, which contain repeated observations of a set of objects or individuals over time. From all the short-term sequences of individual data, the method estimates a longterm normative scenario of shape changes and a tubular coordinate system around this trajectory. Each individual data sequence is therefore (i) mapped onto a specific portion of the trajectory accounting for differences in… Show more

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Cited by 16 publications
(13 citation statements)
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“…We define the Riemannian metric such that each biomarker follow a straight line and the intercept and slopes of the straight lines vary smoothly across neighbourhing regions, voxels or vertices 62 , 63 . We consider changes in the shape of the hippocampus are due to a smooth deformation of the surface called diffeomorphisms 64 , 65 .…”
Section: Methodsmentioning
confidence: 99%
“…We define the Riemannian metric such that each biomarker follow a straight line and the intercept and slopes of the straight lines vary smoothly across neighbourhing regions, voxels or vertices 62 , 63 . We consider changes in the shape of the hippocampus are due to a smooth deformation of the surface called diffeomorphisms 64 , 65 .…”
Section: Methodsmentioning
confidence: 99%
“…Further, given covariates of interest, ad hoc analyses may ignore shared information by dividing the dataset into sub-populations of interest and constructing templates for each independently. More principled approaches explicitly account for age and potentially other covariates by building spatiotemporal templates and have been extensively validated on pediatric [34,37,40,55,85,88] and adult [15,28,46,84] neuroimages.…”
Section: Related Workmentioning
confidence: 99%
“…In a cohort-based longitudinal study, the variability in inter-subject aging trends can also be high. This was handled in [15] by considering a tubular neighbourhood for the deformation. The spatio-temporal model suggested in [16] also considers similar variations due to diseased data points in the dataset and uses partial least squares regression to compute normal aging deformations; this gives modes of aging and corresponding scores for each subject.…”
Section: Introductionmentioning
confidence: 99%