Introduction: The apolipoprotein E (apoE) epsilon 4 allele increases a risk of Alzheimer’s disease (AD) [1]. All apoE isoforms inhibit amyloid beta protein aggregation, but apoE4 is less effectively than apoE2 or 3. Numerous studies reported that there was relationship between apoE4 allele load and regionally specific brain cortical atrophy in AD [2-3]. However, there was no study in investigat...

Fiber tracking is a standard tool to estimate the course of major white matter tracts from diffusion tensor magnetic resonance imaging (DT-MRI) data. In this work, we aim at supporting the visual analysis of classical streamlines from fiber tracking by integrating context from anatomical data, acquired by a T1-weighted MRI measurement. To this end, we suggest a novel visualization metaphor, whi...

Diffusion tensor MRI (DT-MRI) is the only non-invasive method for characterising the microstructural organization of tissue in vivo. Generating parametric maps that help to visualise different aspects of the tissue microstructure (mean diffusivity, tissue anisotropy and dominant fibre orientation) involves a number of steps from deciding on the optimal acquisition parameters on the scanner, col...

The regularized iterative reconstruction of the tensor field in diffusion tensor tomography magnetic resonance imaging was investigated. The total variation constraints on eigenvalue and tensor component images of the diffusion tensor were explored. A computer generated phantom was used to simulate the diffusion tensor in a cardiac MRI study in which the diffusion model depended upon the fiber ...

The theory of diffusion gradient-weighted MRI (DGWI) is presented in this paper. The Bloch-Torrey equation was modified to include the effect of intravoxel spatial-location variation of water diffusion (diffusion gradient) on MRI signal, in addition to the effect of intravoxel spatial-direction variation of water diffusion (diffusion anisotropy). An analytical solution for a diffusion-encoding ...

Introduction Characterization of biological tissue structure and organization using Diffusion Tensor (DT) Magnetic Resonance Imaging (MRI) relies on effective analysis and multidimensional data visualization methods. The toroid-based representation of the DT has been experimentally demonstrated to be less prone to visual ambiguity [1] and offers additional quantitative scalar maps to evaluate t...

Matrix data sets are common nowadays like in biomedical imaging where the Diffusion Tensor Magnetic Resonance Imaging (DT-MRI) modality produces data sets of 3D symmetric positive definite matrices anchored at voxel positions capturing the anisotropic diffusion properties of water molecules in biological tissues. The space of symmetric matrices can be partially ordered using the Löwner ordering...

SUMMARY Diffusion tensor (DT) MR imaging has frequently been applied in multiple sclerosis (MS) because of its ability to detect and quantify disease-related changes of the tissue microstructure within and outside T2-visible lesions. DT MR imaging data collection places high demands on scanner hardware and, though the acquisition and postprocessing can be relatively straightforward, numerous ch...

P. Hagmann, R. Meuli, L. Jonasson, P. Vandergheynst, S. Clarke, P. Maeder, J. Thiran Signal Processing Institute, Swiss Federal Institut of Technology, Lausanne, VD, Switzerland, Department of Radiology, University Hospital, Lausanne, VD, Switzerland, Division of Neuropsychology, University Hospital, Lausanne, VD, Switzerland Abstract: Most fibre tracking techniques were developed in a determin...