Mathematical description of q‐space in spherical coordinates: Exact q‐ball imaging
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Summary
This work provides a new framework for combining information coming from diffusion data recorded on multiple spherical shells in q‐space, which is capable of mapping ODF to a high accuracy, and represents a step toward a more efficient development of diffusion MRI experiments for obtaining better ODF estimates.
- Type
- article
- Published
- 2009-06-01
- Cited by
- 83
- References
- 43
- OpenAlex
- https://openalex.org/W2015251708
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:19901074
Keywords
Spherical harmonics, Orientation (vector space), Diffusion MRI, Spherical coordinate system, Spherical mean
References
- MR diffusion tensor spectroscopy and imaging.
- A Bayesian framework to identify principal intravoxel diffusion profiles based on diffusion-weighted MR imaging
- Boosting the sampling efficiency of q‐ball imaging using multiple wavevector fusion
- Mathematical handbook of formulas and tables
- Mapping complex tissue architecture with diffusion spectrum magnetic resonance imaging
- Inferring multiple maxima in intravoxel white matter fiber distribution
- Q‐ball reconstruction of multimodal fiber orientations using the spherical harmonic basis
- Q‐ball imaging
- Probabilistic diffusion tractography with multiple fibre orientations: What can we gain?
- Measurement of fiber orientation distributions using high angular resolution diffusion imaging
- Effects of Finite Gradient-Pulse Widths in Pulsed-Field-Gradient Diffusion Measurements
- Optimal imaging parameters for fiber-orientation estimation in diffusion MRI
- Estimation of the effective self-diffusion tensor from the NMR spin echo.
- The fast Fourier transform for experimentalists
- Hybrid diffusion imaging
- Ueber einige bestimmte Integrale
- Persistent angular structure: new insights from diffusion magnetic resonance imaging data
- Direct estimation of the fiber orientation density function from diffusion-weighted MRI data using spherical deconvolution
- Multiple‐Fiber Reconstruction Algorithms for Diffusion MRI
- Biexponential diffusion attenuation in various states of brain tissue: Implications for diffusion‐weighted imaging
Cited by
- Image processing methods for human brain connectivity analysis from in-vivo diffusion MRI
- Fiber consistency measures on brain tracts from digital streamline, stochastic and global tractography
- Spatially regularizing high angular resolution diffusion imaging
- NOVEL PHANTOMS AND POST- PROCESSING FOR DIFFUSION SPECTRUM IMAGING
- Model-Free, Regularized, Fast, and Robust Analytical Orientation Distribution Function Estimation
- Estimation and Processing of Ensemble Average Propagator and Its Features in Diffusion MRI
- Extracting Quantitative Measures from EAP: A Small Clinical Study using BFOR
- Extraction of Structural Metrics from Crossing Fiber Models
- Spherical Deconvolution of Multichannel Diffusion MRI Data with Non-Gaussian Noise Models and Spatial Regularization
- Diffusion spectrum MRI using body-centered-cubic and half-sphere sampling schemes.
- Fiber estimation and tractography in diffusion MRI: Development of simulated brain images and comparison of multi-fiber analysis methods at clinical b-values
- Denoising and fast diffusion imaging with physically constrained sparse dictionary learning
- Why multiple b-values are required for multi-tensor models. evaluation with a constrained log-euclidean model
- Multiple q-shell diffusion propagator imaging
- Constrained diffusion kurtosis imaging using ternary quartics & MLE
- Spatial HARDI: Improved Visualization of Complex White Matter Architecture with Bayesian Spatial Regularization
- Diffusion Tensor Imaging and Beyond
- Pushing the limits of in vivo diffusion MRI for the Human Connectome Project
- Angular smoothing and radial regularization of ODF fields: application on deterministic crossing fiber tractography.
- Bessel Fourier Orientation Reconstruction (BFOR): An Analytical Diffusion Propagator Reconstruction for Hybrid Diffusion Imaging and Computation of q-Space Indices
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