A nonparametric Riemannian framework for processing high angular resolution diffusion images and its applications to ODF-based morphometry

No abstract is available for this paper.

• Publication year

  2011

• Venue

  Unknown venue

• Publication date

  Unknown publication date

• Fields of study

  Not labeled

• Identifiers

  No identifiers available.

• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Large Deformation Diffeomorphic Metric Mapping of Orientation Distribution Functions

  2011cited by this paper
• Quantitative evaluation of 10 tractography algorithms on a realistic diffusion MR phantom

  2011cited by this paper
• The Differential of the Exponential Map, Jacobi Fields and Exact Principal Geodesic Analysis

  2010cited by this paper
• Manifold Valued Statistics, Exact Principal Geodesic Analysis and the Effect of Linear Approximations

  2010cited by this paper
• Reconstruction of the orientation distribution function in single‐ and multiple‐shell q‐ball imaging within constant solid angle

  2010influential reference
• The effect of metric selection on the analysis of diffusion tensor MRI data

  2010cited by this paper
• Genetics of Brain Fiber Architecture and Intellectual Performance

  2009cited by this paper
• High Angular Resolution Diffusion MRI Segmentation Using Region-Based Statistical Surface Evolution

  2009influential reference
• Medical Image Computing and Computer-Assisted Intervention

  2009cited by this paper
• Estimation of fiber Orientation Probability Density Functions in High Angular Resolution Diffusion Imaging

  2009cited by this paper
• Assessment of Asymmetry in Pyramidal Tract by Using Fiber Tracking

  2009cited by this paper
• Estimating Orientation Distribution Functions with Probability Density Constraints and Spatial Regularity

  2009influential reference
• Regularized positive-definite fourth order tensor field estimation from DW-MRI

  2009cited by this paper
• Voxel-Based Morphometry: An Automated Technique for Assessing Structural Changes in the Brain

  2009cited by this paper
• A Riemannian Framework for Orientation Distribution Function Computing

  2009influential reference
• Optimization algorithms on matrix manifolds

  2009cited by this paper
• A nonparametric Riemannian framework for processing high angular resolution diffusion images (HARDI)

  2009influential reference
• Segmenting Fiber Bundles in Diffusion Tensor Images

  2008cited by this paper
• DT-MRI Fiber Tracking: A Shortest Paths Approach

  2008influential reference
• Directional functions for orientation distribution estimation

  2008cited by this paper
• New diffusion phantoms dedicated to the study and validation of high‐angular‐resolution diffusion imaging (HARDI) models

  2008cited by this paper
• Voxel‐based morphometry of temporal lobe epilepsy: An introduction and review of the literature

  2008cited by this paper
• Riemannian Anisotropic Diffusion for Tensor Valued Images

  2008cited by this paper
• Brain Fiber Architecture, Genetics, and Intelligence: A High Angular Resolution Diffusion Imaging (HARDI) Study

  2008influential reference
• Tensor-based morphometry as a neuroimaging biomarker for Alzheimer's disease: An MRI study of 676 AD, MCI, and normal subjects

  2008cited by this paper
• Cerebral Cortex doi:10.1093/cercor/bhn097 Structural Asymmetries in the Infant Language and Sensori-Motor Networks

  2008cited by this paper
• Riemannian Framework for Estimating Symmetric Positive Definite 4th Order Diffusion Tensors

  2008cited by this paper
• Unsupervised Riemannian Clustering of Probability Density Functions

  2008cited by this paper
• The tensor distribution function

  2008cited by this paper
• Voxel-based morphometry in schizophrenia: implications for neurodevelopmental connectivity models, cognition and affect

  2008cited by this paper
• A Fuzzy, Nonparametric Segmentation Framework for DTI and MRI Analysis: With Applications to DTI-Tract Extraction

  2007cited by this paper
• A level set method for segmentation of the thalamus and its nuclei in DT-MRI

  2007cited by this paper
• Regularized, fast, and robust analytical Q‐ball imaging

  2007influential reference
• Corticospinal tract asymmetries at the level of the internal capsule: Is there an association with handedness?

  2007cited by this paper
• Riemannian geometry for the statistical analysis of diffusion tensor data

  2007influential reference
• Voxel-based morphometry and its application to movement disorders.

  2007cited by this paper
• Exploratory voxel-based analysis of diffusion indices and hemispheric asymmetry in normal aging.

  2007cited by this paper
• Riemannian Analysis of Probability Density Functions with Applications in Vision

  2007cited by this paper
• Mean Template for Tensor-Based Morphometry Using Deformation Tensors

  2007cited by this paper
• Geodesic-Loxodromes for Diffusion Tensor Interpolation and Difference Measurement

  2007cited by this paper
• A Riemannian approach to anisotropic filtering of tensor fields

  2007cited by this paper
• DTI segmentation by statistical surface evolution

  2006influential reference
• Algebraic Methods for Direct and Feature Based Registration of Diffusion Tensor Images

  2006cited by this paper
• Resolution of complex tissue microarchitecture using the diffusion orientation transform (DOT)

  2006cited by this paper
• Deformable registration of diffusion tensor MR images with explicit orientation optimization

  2006cited by this paper
• 3D curve inference for diffusion MRI regularization and fibre tractography

  2006cited by this paper
• Regional gray matter atrophy in early primary progressive multiple sclerosis: a voxel-based morphometry study.

  2006cited by this paper
• Segmentation of High Angular Resolution Diffusion MRI Modeled as a Field of von Mises-Fisher Mixtures

  2006cited by this paper
• On Diffusion Tensor Estimation

  2006cited by this paper
• Segmentation of Thalamic Nuclei from DTI Using Spectral Clustering

  2006cited by this paper
• Handedness and cerebral anatomical asymmetries in young adult males

  2006cited by this paper
• Q‐ball reconstruction of multimodal fiber orientations using the spherical harmonic basis

  2006cited by this paper
• Statistics on the Manifold of Multivariate Normal Distributions: Theory and Application to Diffusion Tensor MRI Processing

  2006influential reference
• ORIGINAL RESEARCH Diffusion Tensor Imaging in Amyotrophic Lateral Sclerosis: Volumetric Analysis of the Corticospinal Tract

  2006cited by this paper
• A rigorous framework for diffusion tensor calculus

  2005cited by this paper
• White matter fiber tract segmentation in DT-MRI using geometric flows

  2005cited by this paper
• Comparisons Between Alzheimer Disease, Frontotemporal Lobar Degeneration, and Normal Aging With Brain Mapping

  2005cited by this paper
• Mapping complex tissue architecture with diffusion spectrum magnetic resonance imaging

  2005cited by this paper
• Fiber tracts of high angular resolution diffusion MRI are easily segmented with spectral clustering.

  2005cited by this paper
• A Riemannian Framework for Tensor Computing

  2005influential reference
• A Panoramic View of Riemannian Geometry.

  2005cited by this paper
• Large deformation diffeomorphic metric mapping of vector fields

  2005cited by this paper
• DTI segmentation using an information theoretic tensor dissimilarity measure

  2005cited by this paper
• Flow-based fiber tracking with diffusion tensor and q-ball data: Validation and comparison to principal diffusion direction techniques

  2005cited by this paper
• White matter asymmetry in the human brain: a diffusion tensor MRI study.

  2004influential reference
• Principal geodesic analysis for the study of nonlinear statistics of shape

  2004influential reference
• A constrained variational principle for direct estimation and smoothing of the diffusion tensor field from complex DWI

  2004cited by this paper
• Q‐ball imaging

  2004influential reference
• DTI mapping of human brain connectivity: statistical fibre tracking and virtual dissection

  2003influential reference
• DT-MRI Images: Estimation, Regularization, and Application

  2003cited by this paper
• Persistent angular structure: new insights from diffusion magnetic resonance imaging data

  2003cited by this paper
• Coloring of DT-MRI Fiber Traces Using Laplacian Eigenmaps

  2003cited by this paper
• Generalized diffusion tensor imaging and analytical relationships between diffusion tensor imaging and high angular resolution diffusion imaging

  2003cited by this paper
• Level Set Segmentation and Modeling of DT-MRI human brain data

  2003cited by this paper
• Characterization of anisotropy in high angular resolution diffusion‐weighted MRI

  2002cited by this paper
• Inverse Problems, Image Analysis, and Medical Imaging

  2002cited by this paper
• Deformable registration of DT-MRI data based on transformation invariant tensor characteristics

  2002cited by this paper
• High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity

  2002cited by this paper
• N Onrigid Registration of 3d Tensor Medical Data

  2002cited by this paper
• Spherical averages and applications to spherical splines and interpolation

  2001influential reference
• Learning with Kernels: support vector machines, regularization, optimization, and beyond

  2001influential reference
• Variability and asymmetry in the human precentral motor system. A cytoarchitectonic and myeloarchitectonic brain mapping study.

  2001cited by this paper
• Fiber tract mapping from diffusion tensor MRI

  2001cited by this paper
• Voxel-based morphometry--the methods.

  2000cited by this paper
• In vivo fiber tractography using DT‐MRI data

  2000influential reference
• Statistical Decision Rules and Optimal Inference

  2000cited by this paper
• A Review of Nonlinear Diffusion Filtering

  1997cited by this paper
• Permutation, Parametric, and Bootstrap Tests of Hypotheses (Springer Series in Statistics)

  1994cited by this paper
• Estimation of the effective self-diffusion tensor from the NMR spin echo.

  1994cited by this paper
• Information and the Accuracy Attainable in the Estimation of Statistical Parameters

  1992cited by this paper
• A two-dimensional interpolation function for irregularly-spaced data

  1968influential reference
• Spin diffusion measurements : spin echoes in the presence of a time-dependent field gradient

  1965cited by this paper
• Les éléments aléatoires de nature quelconque dans un espace distancié

  1948cited by this paper
• journal homepage: www.elsevier.com/locate/ynimg Genetic influences on brain asymmetry: A DTI study of 374 twins and siblings

  year unknowninfluential reference
• Magnetic Resonance in Medicine 56:411–421 (2006) Log-Euclidean Metrics for Fast and Simple Calculus on Diffusion Tensors

  year unknowninfluential reference
• IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, VOL. 12. NO. 7. JULY 1990 Scale-Space and Edge Detection Using Anisotropic Diffusion

  year unknowncited by this paper
• Human Brain Mapping 15:1–25(2001) � Nonparametric Permutation Tests For Functional Neuroimaging:

  year unknowninfluential reference

• A Riemannian framework for incorporating white matter bundle prior in orientation distribution function based tractography algorithms

  2025influential citation
• A Wasserstein-Space-Based Framework for Processing Fiber Orientation Geometry in Diffusion MRI

  2025influential citation
• Noise reduction in magnitude diffusion-weighted images using spatial similarity and diffusion redundancy.

  2025cites this paper
• Neural orientation distribution fields for estimation and uncertainty quantification in diffusion MRI

  2023cites this paper
• Convex optimization-based structure-preserving filter for multidimensional finite element simulations

  2023cites this paper
• Convex Optimization-Based Structure-Preserving Filter For Multidimensional Finite Element Simulations

  2022cites this paper
• Rigid motion invariant statistical shape modeling based on discrete fundamental forms: Data from the osteoarthritis initiative and the Alzheimer's disease neuroimaging initiative

  2021cites this paper
• ManifoldNet: A Deep Neural Network for Manifold-Valued Data With Applications

  2020cites this paper
• Interpolation and Averaging of Diffusion MRI Multi-Compartment Models

  2020cites this paper
• TractLearn: a geodesic learning framework for quantitative analysis of brain bundles

  2020cites this paper
• Manifold-Valued Data in Medical Imaging Applications

  2020cites this paper
• HARDI Segmentation via Fourth-Order Tensors and Anisotropy Preserving Similarity Measures

  2019cites this paper
• A Deep Neural Network for Manifold-Valued Data with Applications to Neuroimaging

  2019cites this paper
• Advances in computational and statistical diffusion MRI

  2019cites this paper
• Global Optimality in Separable Dictionary Learning with Applications to the Analysis of Diffusion MRI

  2019cites this paper
• Horizontal Flows and Manifold Stochastics in Geometric Deep Learning

  2019cites this paper
• Estimating uncertainty in MRF-based image segmentation: A perfect-MCMC approach

  2019cites this paper
• Separable Dictionary Learning with Global Optimality and Applications to Diffusion MRI

  2018cites this paper
• MANIFOLDNET: A DEEP NEURAL NETWORK FOR MANIFOLD-VALUED DATA

  2018cites this paper
• ManifoldNet: A Deep Network Framework for Manifold-valued Data

  2018cites this paper
• An Optimal Transport-Based Restoration Method for Q-Ball Imaging

  2017influential citation
• Geometries and interpolations for symmetric positive definite matrices

  2017cites this paper
• 4 Diffusion Magnetic Resonance Imaging ( dMRI )

  2017cites this paper
• Riemannian Nonlinear Mixed Effects Models: Analyzing Longitudinal Deformations in Neuroimaging

  2017cites this paper
• CENTRE FOR STOCHASTIC GEOMETRY AND ADVANCED BIOIMAGING

  2016cites this paper
• Combined Tensor Fitting and TV Regularization in Diffusion Tensor Imaging Based on a Riemannian Manifold Approach

  2016cites this paper
• Diffusion Magnetic Resonance Imaging (dMRI)

  2016cites this paper
• SR-HARDI: Spatially Regularizing High Angular Resolution Diffusion Imaging

  2016cites this paper
• Kernel regression estimation of fiber orientation mixtures in diffusion MRI

  2016cites this paper
• An efficient recursive estimator of the Fréchet mean on a hypersphere with applications to Medical Image Analysis

  2015cites this paper
• Interpolation of orientation distribution functions in diffusion weighted imaging using multi-tensor model.

  2015cites this paper
• Interpolation and Averaging of Multi-Compartment Model Images

  2015cites this paper
• Diffusion MRI abnormalities detection with orientation distribution functions: A multiple sclerosis longitudinal study

  2015influential citation
• Geodesic regression on orientation distribution functions with its application to an aging study

  2014cites this paper
• Spatially regularizing high angular resolution diffusion imaging

  2014cites this paper
• Adaptive smoothing of multi-shell diffusion weighted magnetic resonance data by msPOAS

  2014cites this paper
• Diffusion Weighted Imaging 2 Diffusion Tensor Imaging 3 High Angular Resolution Diffusion Imaging 4 Probability Density Function 5 Orientation Distribution Function 6 Spherical Harmonic

  2014cites this paper
• Segmentation of High Angular Resolution Diffusion MRI Using Sparse Riemannian Manifold Clustering

  2014cites this paper
• Anisotropy Preserving DTI Processing

  2014cites this paper
• Using channel representations in regularization terms a case study on image diffusion

  2014cites this paper
• Toward global tractography

  2013cites this paper
• Bayesian Estimation of White Matter Atlas from High Angular Resolution Diffusion Imaging

  2013cites this paper
• CENTRE FOR STOCHASTIC GEOMETRY AND ADVANCED BIOIMAGING

  2013cites this paper
• Bayesian Atlas Estimation from High Angular Resolution Diffusion Imaging (HARDI)

  2013cites this paper
• Interpolation of orientation distribution functions (ODFs) in Q-ball imaging

  2012cites this paper
• Estimation and Processing of Ensemble Average Propagator and Its Features in Diffusion MRI

  2012influential citation
• IRM de diffusion du Q-space : Acquisition et pré-traitements (Q-space Diffusion MRI: Acquisition and Signal Processing)

  2012cites this paper
• Group action induced averaging for HARDI processing

  2012cites this paper
• The Center for Computational Biology: resources, achievements, and challenges

  2012cites this paper
• Natural selection. V. How to read the fundamental equations of evolutionary change in terms of information theory

  2012cites this paper
• Estimation of Non-negative ODFs Using the Eigenvalue Distribution of Spherical Functions

  2012cites this paper
• Non-local Robust Detection of DTI White Matter Differences with Small Databases

  2012cites this paper
• Registration of Spherical Functions from High Angular Resolution Diffusion Imaging using the Heat Kernel Signature and Möbius Transformation

  2012cites this paper
• Diffeomorphism Invariant Riemannian Framework for Ensemble Average Propagator Computing

  2011influential citation
• Large Deformation Diffeomorphic Metric Mapping of Orientation Distribution Functions

  2011cites this paper
• Diffeomorphic Metric Mapping of High Angular Resolution Diffusion Imaging Based on Riemannian Structure of Orientation Distribution Functions

  2011cites this paper
• How does angular resolution affect diffusion imaging measures?

  2010cites this paper