Q-ball imaging
Abstract
Magnetic resonance diffusion tensor imaging (DTI) provides a powerful tool for mapping neural histoarchitecture in vivo. However, DTI can only resolve a single fiber orientation within each imaging voxel due to the constraints of the tensor model. For example, DTI cannot resolve fibers crossing, bending, or twisting within an individual voxel. Intravoxel fiber crossing can be resolved using q-space diffusion imaging, but q-space imaging requires large pulsed field gradients and time-intensive sampling. It is also possible to resolve intravoxel fiber crossing using mixture model decomposition of the high angular resolution diffusion imaging (HARDI) signal, but mixture modeling requires a model of the underlying diffusion process.Recently, it has been shown that the HARDI signal can be reconstructed model-independently using a spherical tomographic inversion called the Funk-Radon transform, also known as the spherical Radon transform. The resulting imaging method, termed q-ball imaging, can resolve multiple intravoxel fiber orientations and does not require any assumptions on the diffusion process such as Gaussianity or multi-Gaussianity. The present paper reviews the theory of q-ball imaging and describes a simple linear matrix formulation for the q-ball reconstruction based on spherical radial basis function interpolation. Open aspects of the q-ball reconstruction algorithm are discussed.
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Q-ball imaging and diffusion spectrum imaging use richer q-space sampling to estimate an orientation distribution function representing the relative prominence of water diffusion along different spatial directions within a voxel.
“Methods such as Q-ball imaging (Tuch, 2004) and diffusion spectrum imaging (DSI) (Wedeen et al., 2005) use richer q-space sampling to estimate an orientation distribution function (ODF), representing the relative prominence of water diffusion along different spatial directions within a voxel.”
From 40 Years of diffusion MRI in the brain: From history to emerging frontiers (2026) · cites this paper as Tuch, 2004
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- Authors
- Tuch, D. S.
- Affiliations
- Massachusetts General Hospital (US)
- Corresponding author
- Tuch, David S.
- Venue
- Magnetic Resonance in Medicine
- Publisher
- Wiley
- Published
- 2004-11-23
- Volume
- 52
- Issue
- 6
- Pages
- 1358-1372
- ISSN
- 0740-3194 (ISSN-L)
- 1522-2594
- OpenAlex
- W1988954604
- Cited by
- 1,880
- References
- 43
- Citations by year
- 2026: 19 · 2025: 39 · 2024: 55 · 2023: 47 · 2022: 57 · 2021: 80 · 2020: 86 · 2019: 81 · 2018: 100 · 2017: 106 · 2016: 97 · 2015: 116 · 2014: 126 · 2013: 148 · 2012: 141
- FWCI
- 38.55
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Magnetic Resonance in Medicine (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Institute of Neurological Disorders and Stroke (K25NS046532, NS46532)
- National Center for Research Resources (RR 14075, P41RR014075)
- Topics
- Health Sciences › Medicine › Radiology, Nuclear Medicine and Imaging › Advanced Neuroimaging Techniques and Applications
- Health Sciences › Medicine › Radiology, Nuclear Medicine and Imaging › Advanced MRI Techniques and Applications
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › NMR spectroscopy and applications
- Keywords
- Q-ball imaging, spherical Radon transform, high angular resolution diffusion imaging, fiber orientation distribution, diffusion MRI reconstruction
- MeSH terms
- Algorithms, Brain Mapping, Humans, Image Processing, Computer-Assisted, Diffusion Magnetic Resonance Imaging
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