Tensors are nowadays a common source of geometric information. In this paper, we
propose to endow the tensor space with an affine-invariant Riemannian metric. We …

A family of methods aiming at the reconstruction of a putative fascicle map from any diffusion‐
weighted dataset is proposed. This fascicle map is defined as a trade‐off between local …

We are interested in PDE's (Partial Differential Equations) in order to smooth multi-valued
images in an anisotropic manner. Starting from a review of existing anisotropic …

In this paper, we present a novel constrained variational principle for simultaneous
smoothing and estimation of the diffusion tensor field from complex valued diffusion …

White matter fiber bundles of the human brain form a spatial pattern defined by the
anatomical and functional architecture. Human brain atlases provide names for individual …

Nonlinear diffusion equations are now widely used to restore and enhance images. They
allow to eliminate noise and artifacts while preserving large global features, such as object …

Publisher Summary Multichannel image regularization is a fundamental process in many
image processing and computer vision algorithms. It is necessary to gain full control of this …

In this article, we propose a local and geometric point of view of vector image filtering using
diffusion PDEs. It allows us to analyze proposed methods of vector data regularization, as …

To improve the accuracy of tissue structural and architectural characterization with diffusion
tensor imaging, a novel smoothing technique is developed for reducing noise in diffusion …

We introduce a novel approach to the cerebral white matter connectivity map** from
diffusion tensor MRI. DT-MRI is the unique non-invasive technique capable of probing and …