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Riemannian approaches in brain-computer interfaces: a review
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 …
still suffer from a number of limitations. In particular, they are sensitive to noise, outliers and …
Within-subject template estimation for unbiased longitudinal image analysis
Longitudinal image analysis has become increasingly important in clinical studies of normal
aging and neurodegenerative disorders. Furthermore, there is a growing appreciation of the …
aging and neurodegenerative disorders. Furthermore, there is a growing appreciation of the …
Rotation averaging
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 …
has been carried out in this area; it discusses methods for single-view and multiple-view …
[ספר][B] Statistical shape analysis: with applications in R
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 …
for shape analysis Shape analysis is an important tool in the many disciplines where objects …
Riemannian medians and means with applications to radar signal processing
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 …
Riemannian geometry of Toeplitz covariance matrices and the notion of Riemannian p …
L1 rotation averaging using the Weiszfeld algorithm
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 …
the classic Fermat-Weber problem for finding the geometric median of a set of points in IR n …
Averaging on the Bures-Wasserstein manifold: dimension-free convergence of gradient descent
We study first-order optimization algorithms for computing the barycenter of Gaussian
distributions with respect to the optimal transport metric. Although the objective is …
distributions with respect to the optimal transport metric. Although the objective is …
Multi-atlas image registration of clinical data with automated quality assessment using ventricle segmentation
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 …
lower resolution and sometimes substantial motion artifacts, registration can produce poor …
The vector heat method
This article describes a method for efficiently computing parallel transport of tangent vectors
on curved surfaces, or more generally, any vector-valued data on a curved manifold. More …
on curved surfaces, or more generally, any vector-valued data on a curved manifold. More …
Wasserstein barycenters are NP-hard to compute
Computing Wasserstein barycenters (aka optimal transport barycenters) is a fundamental
problem in geometry which has recently attracted considerable attention due to many …
problem in geometry which has recently attracted considerable attention due to many …