Although promising from numerous applications, current brain-computer interfaces (BCIs)
still suffer from a number of limitations. In particular, they are sensitive to noise, outliers and …

Longitudinal image analysis has become increasingly important in clinical studies of normal
aging and neurodegenerative disorders. Furthermore, there is a growing appreciation of the …

This paper is conceived as a tutorial on rotation averaging, summarizing the research that
has been carried out in this area; it discusses methods for single-view and multiple-view …

A thoroughly revised and updated edition of this introduction to modern statistical methods
for shape analysis Shape analysis is an important tool in the many disciplines where objects …

We develop a new geometric approach for high resolution Doppler processing based on the
Riemannian geometry of Toeplitz covariance matrices and the notion of Riemannian p …

We consider the problem of rotation averaging under the L 1 norm. This problem is related to
the classic Fermat-Weber problem for finding the geometric median of a set of points in IR n …

Registration is a core component of many imaging pipelines. In case of clinical scans, with
lower resolution and sometimes substantial motion artifacts, registration can produce poor …

The universal approximation property of various machine learning models is currently only
understood on a case-by-case basis, limiting the rapid development of new theoretically …

We study first-order optimization algorithms for computing the barycenter of Gaussian
distributions with respect to the optimal transport metric. Although the objective is …

Computing Wasserstein barycenters (aka optimal transport barycenters) is a fundamental
problem in geometry which has recently attracted considerable attention due to many …