The ability of fiber tractography to delineate non‐invasively the white matter fiber pathways
of the brain raises possibilities for clinical applications and offers enormous potential for …

The diffusion of water molecules inside organic tissues is often anisotropic (1). Namely, if
there are aligned structures in the tissue, the apparent diffusion coefficient (ADC) of water …

Diffusion MRI tractography processing pipeline requires a large number of steps (typically
20+ steps). If parameters of these steps, number of threads, and random seed generators …

Diffusion tensor imaging (DT‐MRI or DTI) is an emerging imaging modality whose
importance has been growing considerably. However, the processing of this type of data (ie …

In this paper we introduce metric-based means for the space of positive-definite matrices.
The mean associated with the Euclidean metric of the ambient space is the usual arithmetic …

In medical image analysis and high level computer vision, there is an intensive use of
geometric features like orientations, lines, and geometric transformations ranging from …

This monograph aims to provide a concise and comprehensive treatment of the basic theory
of algebraic Riccati equations and a description of both the classical and the more advanced …

The tensors produced by diffusion tensor magnetic resonance imaging (DT-MRI) represent
the covariance in a Brownian motion model of water diffusion. Under this physical …

In vivo study of white matter microstructural integrity through magnetic resonance diffusion
tensor imaging (DTI) permits examination of degradation of axonal circuitry that may …

Amyloid imaging studies of presymptomatic familial Alzheimer's disease have revealed the
striatum and thalamus to be the earliest sites of amyloid deposition. This study aimed to …