Non-parametric representation and prediction of single- and multi-shell diffusion-weighted MRI data using Gaussian processes

Diffusion MRI offers great potential in studying the human brain microstructure and connectivity. However, diffusion images are marred by technical problems, such as image distortions and spurious signal loss. Correcting for these problems is non-trivial and relies on having a mechanism that predict...

Full description

Bibliographic Details
Main Authors: Andersson, Jesper L.R., Sotiropoulos, Stamatios N.
Format: Article
Published: Elsevier 2015
Subjects:
Online Access:https://eprints.nottingham.ac.uk/50942/
_version_ 1848798373798215680
author Andersson, Jesper L.R.
Sotiropoulos, Stamatios N.
author_facet Andersson, Jesper L.R.
Sotiropoulos, Stamatios N.
author_sort Andersson, Jesper L.R.
building Nottingham Research Data Repository
collection Online Access
description Diffusion MRI offers great potential in studying the human brain microstructure and connectivity. However, diffusion images are marred by technical problems, such as image distortions and spurious signal loss. Correcting for these problems is non-trivial and relies on having a mechanism that predicts what to expect. In this paper we describe a novel way to represent and make predictions about diffusion MRI data. It is based on a Gaussian process on one or several spheres similar to the Geostatistical method of “Kriging”. We present a choice of covariance function that allows us to accurately predict the signal even from voxels with complex fibre patterns. For multi-shell data (multiple non-zero b-values) the covariance function extends across the shells which means that data from one shell is used when making predictions for another shell.
first_indexed 2025-11-14T20:18:45Z
format Article
id nottingham-50942
institution University of Nottingham Malaysia Campus
institution_category Local University
last_indexed 2025-11-14T20:18:45Z
publishDate 2015
publisher Elsevier
recordtype eprints
repository_type Digital Repository
spelling nottingham-509422020-05-04T17:23:04Z https://eprints.nottingham.ac.uk/50942/ Non-parametric representation and prediction of single- and multi-shell diffusion-weighted MRI data using Gaussian processes Andersson, Jesper L.R. Sotiropoulos, Stamatios N. Diffusion MRI offers great potential in studying the human brain microstructure and connectivity. However, diffusion images are marred by technical problems, such as image distortions and spurious signal loss. Correcting for these problems is non-trivial and relies on having a mechanism that predicts what to expect. In this paper we describe a novel way to represent and make predictions about diffusion MRI data. It is based on a Gaussian process on one or several spheres similar to the Geostatistical method of “Kriging”. We present a choice of covariance function that allows us to accurately predict the signal even from voxels with complex fibre patterns. For multi-shell data (multiple non-zero b-values) the covariance function extends across the shells which means that data from one shell is used when making predictions for another shell. Elsevier 2015-11-15 Article PeerReviewed Andersson, Jesper L.R. and Sotiropoulos, Stamatios N. (2015) Non-parametric representation and prediction of single- and multi-shell diffusion-weighted MRI data using Gaussian processes. NeuroImage, 122 . pp. 166-176. ISSN 1053-8119 Diffusion MRI; Gaussian process; Non-parametric representation; Multi-shell https://www.sciencedirect.com/science/article/pii/S1053811915006874 doi:10.1016/j.neuroimage.2015.07.067 doi:10.1016/j.neuroimage.2015.07.067
spellingShingle Diffusion MRI; Gaussian process; Non-parametric representation; Multi-shell
Andersson, Jesper L.R.
Sotiropoulos, Stamatios N.
Non-parametric representation and prediction of single- and multi-shell diffusion-weighted MRI data using Gaussian processes
title Non-parametric representation and prediction of single- and multi-shell diffusion-weighted MRI data using Gaussian processes
title_full Non-parametric representation and prediction of single- and multi-shell diffusion-weighted MRI data using Gaussian processes
title_fullStr Non-parametric representation and prediction of single- and multi-shell diffusion-weighted MRI data using Gaussian processes
title_full_unstemmed Non-parametric representation and prediction of single- and multi-shell diffusion-weighted MRI data using Gaussian processes
title_short Non-parametric representation and prediction of single- and multi-shell diffusion-weighted MRI data using Gaussian processes
title_sort non-parametric representation and prediction of single- and multi-shell diffusion-weighted mri data using gaussian processes
topic Diffusion MRI; Gaussian process; Non-parametric representation; Multi-shell
url https://eprints.nottingham.ac.uk/50942/
https://eprints.nottingham.ac.uk/50942/
https://eprints.nottingham.ac.uk/50942/