Rolling rotations for recognizing human actions from 3d skeletal data

R Vemulapalli, R Chellapa - … of the IEEE conference on computer …, 2016 - cv-foundation.org
Recently, skeleton-based human action recognition has been receiving significant attention
from various research communities due to the availability of depth sensors and real-time …

[PDF][PDF] Manifold interpolation

R Zimmermann - Model Order Reduction, 2021 - library.oapen.org
One approach to parametric and adaptive model reduction is via the interpolation of
orthogonal bases, subspaces or positive definite system matrices. In all these cases, the …

On the Geometry of Rolling and Interpolation Curves on S n , SO n , and Grassmann Manifolds

K Hüper, F Silva Leite - Journal of Dynamical and Control Systems, 2007 - Springer
We present a procedure to generate smooth interpolating curves on submanifolds, which
are given in closed form in terms of the coordinates of the embedding space. In contrast to …

Computing the Riemannian logarithm on the Stiefel manifold: Metrics, methods, and performance

R Zimmermann, K Hüper - SIAM Journal on Matrix Analysis and Applications, 2022 - SIAM
We address the problem of computing Riemannian normal coordinates on the real, compact
Stiefel manifold of orthonormal frames. The Riemannian normal coordinates are based on …

A Lagrangian approach to extremal curves on Stiefel manifolds

K Hüper, I Markina, FS Leite - 2021 - bora.uib.no
A unified framework for studying extremal curves on real Stiefel manifolds is presented. We
start with a smooth one-parameter family of pseudo-Riemannian metrics on a product of …

The rolling problem: overview and challenges

Y Chitour, MG Molina, P Kokkonen - Geometric control theory and sub …, 2014 - Springer
In the present paper we give a historical account-ranging from classical to modern results–of
the problem of rolling two Riemannian manifolds one on the other, with the restrictions that …

Live streaming with content centric networking

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 …

Manifold interpolation and model reduction

R Zimmermann - arXiv preprint arXiv:1902.06502, 2019 - arxiv.org
One approach to parametric and adaptive model reduction is via the interpolation of
orthogonal bases, subspaces or positive definite system matrices. In all these cases, the …

Symmetric spaces rolling on flat spaces

V Jurdjevic, I Markina, F Silva Leite - The Journal of Geometric Analysis, 2023 - Springer
The objective of the current paper is essentially twofold. Firstly, to make clear the difference
between two notions of rolling a Riemannian manifold over another, using a language …

Rolling Stiefel Manifolds Equipped with α-Metrics

M Schlarb, K Hüper, I Markina, F Silva Leite - Mathematics, 2023 - mdpi.com
We discuss the rolling, without slipping and without twisting, of Stiefel manifolds equipped
with α-metrics, from an intrinsic and an extrinsic point of view. We, however, start with a more …