Representing images and videos with Symmetric Positive Definite (SPD) matrices, and considering the Riemannian geometry of the resulting space, has been shown to yield high …
Manifolds are widely used to model non-linearity arising in a range of computer vision applications. This paper treats statistics on manifolds and the loss of accuracy occurring …
M Zhang, T Fletcher - Advances in neural information …, 2013 - proceedings.neurips.cc
Principal geodesic analysis (PGA) is a generalization of principal component analysis (PCA) for dimensionality reduction of data on a Riemannian manifold. Currently PGA is defined as …
M Tournier, X Wu, N Courty, E Arnaud… - Computer Graphics …, 2009 - Wiley Online Library
Due to the growing need for large quantities of human animation data in the entertainment industry, it has become a necessity to compress motion capture sequences in order to ease …
Principal component analysis (PCA) along with its extensions to manifolds and outlier contaminated data have been indispensable in computer vision and machine learning. In …
S Hauberg - IEEE transactions on pattern analysis and …, 2015 - ieeexplore.ieee.org
Euclidean statistics are often generalized to Riemannian manifolds by replacing straight-line interpolations with geodesic ones. While these Riemannian models are familiar-looking …
We present a novel approach for learning a finite mixture model on a Riemannian manifold in which Euclidean metrics are not applicable and one needs to resort to geodesic distances …
H Xu, Z Chen, R Chen, J Cao - 2012 Third international …, 2012 - ieeexplore.ieee.org
Media streaming is the killer application in current Internet. There are a variety of media streaming techniques in today's Internet, such as RTSP, HTTP live streaming and Adobe …
In fields ranging from computer vision to signal processing and statistics, increasing computational power allows a move from classical linear models to models that incorporate …