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CVPR
2008
IEEE
14 years 7 months ago
A recursive filter for linear systems on Riemannian manifolds
We present an online, recursive filtering technique to model linear dynamical systems that operate on the state space of symmetric positive definite matrices (tensors) that lie on...
Ambrish Tyagi, James W. Davis
AUTOMATICA
2000
102views more  AUTOMATICA 2000»
13 years 4 months ago
Stabilization of relative equilibria for underactuated systems on Riemannian manifolds
This paper describes a systematic procedure to exponentially stabilize relative equilibria of mechanical systems. We review the notion of relative equilibria and their stability i...
Francesco Bullo
CDC
2010
IEEE
205views Control Systems» more  CDC 2010»
12 years 12 months ago
Geometric control of patterned linear systems
es of circulant matrices. Our class is broader than just circulants, and we study patterned systems using abstract algebra, specifically the observation that a set of matrices with...
Sarah C. Hamilton, Mireille E. Broucke
IJCV
2006
165views more  IJCV 2006»
13 years 5 months ago
A Riemannian Framework for Tensor Computing
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 demonstrate that ...
Xavier Pennec, Pierre Fillard, Nicholas Ayache
CVPR
2009
IEEE
15 years 7 days ago
A Nonparametric Riemannian Framework for Processing High Angular Resolution Diffusion Images (HARDI)
High angular resolution diffusion imaging has become an important magnetic resonance technique for in vivo imaging. Most current research in this field focuses on developing met...
Alvina Goh, Christophe Lenglet, Paul M. Thompson, ...