Diffusion Weighted Images (DWI) normally shows a low Signal to Noise Ratio (SNR) due to
the presence of noise from the measurement process that complicates and biases the …

No time in human history has ever witnessed such explosive influence and impact of image
processing on modern society, sciences, and technologies. From nanotechnologies …

This article presents two related advancements to the diffusional kurtosis imaging estimation
framework to increase its robustness to noise, motion, and imaging artifacts. The first …

We present a new Riemannian metric, termed Log-Cholesky metric, on the manifold of
symmetric positive definite (SPD) matrices via Cholesky decomposition. We first construct a …

The statistical analysis of covariance matrix data is considered and, in particular,
methodology is discussed which takes into account the nonEuclidean nature of the space of …

Diffusion MRI is a non-invasive imaging technique that allows the measurement of water
molecule diffusion through tissue in vivo. The directional features of water diffusion allow …

This paper is dedicated to the statistical analysis of the space of multivariate normal
distributions with an application to the processing of Diffusion Tensor Images (DTI). It relies …

In this article, we introduce nonlinear versions of the popular structure tensor, also known as
second moment matrix. These nonlinear structure tensors replace the Gaussian smoothing …

The main objective of this book is to introduce the reader to a new way of analyzing object
data, that primarily takes into account the geometry of the spaces of objects measured on the …

Diffusion tensor magnetic resonance imaging (DT-MRI or DTI) is an imaging modality that is
gaining importance in clinical applications. However, in a clinical environment, data have to …