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Article
Open AccessCan structure predict function at individual level in the human connectome?
Several studies predicting Functional Connectivity (FC) from Structural Connectivity (SC) at individual level have been published in recent years, each promising increased performance and utility. We investiga...
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Article
Open AccessSubject-Specific Automatic Reconstruction of White Matter Tracts
MRI-based tractography is still underexploited and unsuited for routine use in brain tumor surgery due to heterogeneity of methods and functional–anatomical definitions and above all, the lack of a turn-key sy...
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Chapter and Conference Paper
Tractometric Coherence of Fiber Bundles in DTI
Based on a diffusion tensor image (DTI) and a tentative tractogram of a fiber bundle we propose a filtering method for operationally defining and removing outliers using . To this end we assign to each track...
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Chapter and Conference Paper
Riemann-DTI Geodesic Tractography Revisited
Clinical tractography is a challenging problem in diffusion tensor imaging (DTI) due to persistent validation issues. Geodesic tractography, based on a shortest path principle, is conceptually appealing, but h...
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Chapter and Conference Paper
A Novel Algorithm for Region-to-Region Tractography in Diffusion Tensor Imaging
is an elegant, though typically time consuming method for finding connections or ‘tracks’ between given endpoints from diffusion-weighted MRI images, which can be representative of brain white matter fibers. ...
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Chapter and Conference Paper
Geodesic Tubes for Uncertainty Quantification in Diffusion MRI
Based on diffusion tensor imaging (DTI), one can construct a Riemannian manifold in which the dual metric is proportional to the DTI tensor. Geodesic tractography then amounts to solving a coupled system of n...
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Chapter and Conference Paper
Brain Connectivity Measures via Direct Sub-Finslerian Front Propagation on the 5D Sphere Bundle of Positions and Directions
We propose a novel connectivity measure between brain regions using diffusion-weighted MRI. This connectivity measure is based on optimal sub-Finslerian geodesic front propagation on the 5D base manifold of (3...
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Chapter and Conference Paper
Confidence Measures for Assessing the HARP Algorithm in Tagged Magnetic Resonance Imaging
Cardiac deformation and changes therein have been linked to pathologies. Both can be extracted in detail from tagged Magnetic Resonance Imaging (tMRI) using harmonic phase (HARP) images. Although point trackin...
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Chapter and Conference Paper
Adaptive Enhancement in Diffusion MRI Through Propagator Sharpening
In this short note we consider a method of enhancing diffusion MRI data based on analytically deblurring the ensemble average propagator. Because of the Fourier relationship between the normalized signal and t...
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Article
Open AccessAdjugate Diffusion Tensors for Geodesic Tractography in White Matter
One of the approaches in diffusion tensor imaging is to consider a Riemannian metric given by the inverse diffusion tensor. Such a metric is used for geodesic tractography and connectivity analysis in white ma...
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Chapter and Conference Paper
Direction-Controlled DTI Interpolation
Diffusion Tensor Imaging (DTI) is a popular model for representing diffusion weighted magnetic resonance images due to its simplicity and the fact that it strikes a good balance between signal fit and robust...
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Chapter and Conference Paper
Factors Affecting Optical Flow Performance in Tagging Magnetic Resonance Imaging
Changes in cardiac deformation patterns are correlated with cardiac pathologies. Deformation can be extracted from tagging Magnetic Resonance Imaging (tMRI) using Optical Flow (OF) techniques. For applications...
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Article
Open AccessAccelerated self-gated UTE of murine heart
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Chapter and Conference Paper
A Novel Riemannian Metric for Geodesic Tractography in DTI
One of the approaches in diffusion tensor imaging is to consider a Riemannian metric given by the inverse diffusion tensor . Such a metric is used for white matter tractography and connectivity analysis. W...
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Chapter and Conference Paper
Higher-Order Tensors in Diffusion Imaging
Diffusion imaging is a noninvasive tool for probing the microstructure of fibrous nerve and muscle tissue. Higher-order tensors provide a powerful mathematical language to model and analyze the large and compl...
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Chapter and Conference Paper
Riemann-Finsler Geometry for Diffusion Weighted Magnetic Resonance Imaging
We consider Riemann-Finsler geometry as a potentially powerful mathematical framework in the context of diffusion weighted magnetic resonance imaging. We explain its basic features in heuristic terms, but also...
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Book
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Chapter and Conference Paper
Regularization of Positive Definite Matrix Fields Based on Multiplicative Calculus
Multiplicative calculus provides a natural framework in problems involving positive images and positivity preserving operators. In increasingly important, complex imaging frameworks, such as diffusion tensor i...
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Chapter
Scale Space Representations Locally Adapted to the Geometry of Base and Target Manifold
We generalize the Gaussian multi-resolution image paradigm for a Euclidean domain to general Riemannian base manifolds and also account for the codomain by considering the extension into a fibre bundle structu...
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Article
Open AccessMultiplicative Calculus in Biomedical Image Analysis
We advocate the use of an alternative calculus in biomedical image analysis, known as multiplicative (a.k.a. non-Newtonian) calculus. It provides a natural framework in problems in which positive images or pos...