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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Snoussi, H. Richard, C. |
| Copyright Year | 2009 |
| Description | Author affiliation: Charles Delaunay Institute, FRE CNRS 2848, University of Technology of Troyes, France (Richard, C.) || Charles Delaunay Institute, FRE CNRS 2848, University of Technology of Troyes, France, Email = Hichem.Snoussi@utt.fr (Snoussi, H.) |
| Abstract | In this contribution, a general scheme of particle filtering on Riemannian manifolds is proposed. In addition to the nonlinear dynamics, the system state is constrained to lie on a Riemannian manifold M, which dimension is much lower than the whole embedding space dimension. The Riemannian manifold. formulation of the state space model avoids the curse of dimensionalilty from which suffers most of the particle filter methods. Furthermore, this formulation is the only natural tool when the embedding Euclidean space cannot be defined (the state space is defined in an abstract geometric way) or when the constraints are not easily handled (space of positive definite matrices). |
| Starting Page | 280 |
| Ending Page | 285 |
| File Size | 5023444 |
| Page Count | 6 |
| File Format | |
| ISBN | 9781424436774 |
| DOI | 10.1109/DSP.2009.4785935 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2009-01-04 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Monte Carlo methods Gaussian distribution Filtering Target tracking Bayesian methods State estimation Particle filters Covariance matrix Yttrium Stochastic resonance |
| Content Type | Text |
| Resource Type | Article |
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