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A Survey of Convergence Results on Particle Filtering Methods for Practitioners

by Dan Crisan, Arnaud Doucet , 2002
"... Optimal filtering problems are ubiquitous in signal processing and related fields. Except for a restricted class of models, the optimal filter does not admit a closed-form expression. Particle filtering methods are a set of flexible and powerful sequential Monte Carlo methods designed to solve the o ..."
Abstract - Cited by 247 (8 self) - Add to MetaCart
the optimal filtering problem numerically. The posterior distribution of the state is approximated by a large set of Dirac-delta masses (samples/particles) that evolve randomly in time according to the dynamics of the model and the observations. The particles are interacting; thus, classical limit theorems

Particle Filtering for Random Sets

by Hedvig Sidenbladh, Sven-Lennart Wirkander - IEEE TRANS. AEROSP. ELECTRON. SYST , 2003
"... Tracking of multiple objects simultaneously over time is an important research problem. When the number ..."
Abstract - Cited by 4 (1 self) - Add to MetaCart
Tracking of multiple objects simultaneously over time is an important research problem. When the number

Painterly Rendering for Animation

by Barbara J. Meier - In SIGGRAPH 96 Conference Proceedings , 1996
"... We present a technique for rendering animations in a painterly style. The difficulty in using existing still frame methods for animation is getting the paint to “stick ” to surfaces rather than randomly change with each frame, while still retaining a hand-crafted look. We extend the still frame meth ..."
Abstract - Cited by 227 (2 self) - Add to MetaCart
technique provides for frame-to-frame coherence in animations so that the resulting frames do not randomly change every frame. To maintain coherence, we model surfaces as 3d particle sets which are rendered as 2d paint brush strokes in screen space much like an artist lays down brush strokes on a canvas. We

Set-Valued Means of Random Particles

by Dietrich Stoyan, I. S. Molchanov , 1995
"... Planar images of powder particles or sand grains can be interpreted as "figures", i. e. equivalence classes of directly congruent compact sets. The paper introduces a concept of set-valued means and real-valued variances for samples of such figures. In obtaining these results, the images a ..."
Abstract - Cited by 5 (0 self) - Add to MetaCart
Planar images of powder particles or sand grains can be interpreted as "figures", i. e. equivalence classes of directly congruent compact sets. The paper introduces a concept of set-valued means and real-valued variances for samples of such figures. In obtaining these results, the images

Rao-Blackwellised Particle Filtering in Random Set Multitarget Tracking

by Matti Vihola , 2006
"... This article introduces a Rao-Blackwellised particle filtering (RBPF) approach in the finite set statistics (FISST) multitarget tracking framework. The RBPF approach is proposed in such a case, where each sensor is assumed to produce a sequence of detection reports each containing either one single- ..."
Abstract - Cited by 10 (0 self) - Add to MetaCart
This article introduces a Rao-Blackwellised particle filtering (RBPF) approach in the finite set statistics (FISST) multitarget tracking framework. The RBPF approach is proposed in such a case, where each sensor is assumed to produce a sequence of detection reports each containing either one single

Random set particle filter for bearings-only multitarget tracking

by Matti Vihola - Proceedings of SPIE , 2005
"... The random set approach to multitarget tracking is a theoretically sound framework that covers joint estimation of the number of targets and the state of the targets. This paper describes a particle filter implementation of the random set multitarget filter. The contribution of this paper to the ran ..."
Abstract - Cited by 2 (0 self) - Add to MetaCart
The random set approach to multitarget tracking is a theoretically sound framework that covers joint estimation of the number of targets and the state of the targets. This paper describes a particle filter implementation of the random set multitarget filter. The contribution of this paper

Tracking random sets of vehicles in terrain

by Hedvig Sidenbladh, Sven-lennart Wirkander - In IEEE Workshop on Multi-Object Tracking , 2003
"... This paper presents a particle filtering formulation for tracking an unknown and varying number of vehicles in terrain. The vehicles are modeled as a random set, i.e. a set of random variables, for which the cardinality is itself a random variable. The particle filter formulation is here extended ac ..."
Abstract - Cited by 37 (2 self) - Add to MetaCart
This paper presents a particle filtering formulation for tracking an unknown and varying number of vehicles in terrain. The vehicles are modeled as a random set, i.e. a set of random variables, for which the cardinality is itself a random variable. The particle filter formulation is here extended

On the static and dynamic points of view for certain random walks in random environment

by Erwin Bolthausen, Alain-sol Sznitman - Methods Appl. Anal , 2002
"... Abstract. In this work we prove the equivalence between static and dynamic points of views for certain ballistic random walks in random environment on ZZ d, when d ≥ 4 and the disorder is low. Our techniques also enable us to derive in the same setting a functional central limit theorem for almost e ..."
Abstract - Cited by 44 (3 self) - Add to MetaCart
Abstract. In this work we prove the equivalence between static and dynamic points of views for certain ballistic random walks in random environment on ZZ d, when d ≥ 4 and the disorder is low. Our techniques also enable us to derive in the same setting a functional central limit theorem for almost

www.informatik2011.de Real-Time Implementation of a Random Finite Set Particle Filter

by Stephan Reuter, Klaus Dietmayer, Sebastian Handrich
"... Abstract: In scenarios characterized by a high object density, data association is a demanding task due to several ambiguities. Especially the assumption that all objects move independent from each other may lead to physically impossible predicted states, in which two objects are closer to each othe ..."
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statistics is its computational complexity, especially in the corrector step. In this contribution, a fast approximation for the calculation of the multi-target likelihood function is proposed. This approximation is used to implement a real-time random finite set particle filter on a graphical processing

Large deviations for random walk in a random environment

by Atilla Yilmaz , 2008
"... Abstract. In his 2003 paper, Varadhan proves the averaged large deviation principle (LDP) for the mean velocity of a particle performing random walk in a random environment (RWRE) on Z d with d ≥ 1, and gives a variational formula for the corresponding rate function Ia. Under the non-nestling assump ..."
Abstract - Cited by 22 (4 self) - Add to MetaCart
Abstract. In his 2003 paper, Varadhan proves the averaged large deviation principle (LDP) for the mean velocity of a particle performing random walk in a random environment (RWRE) on Z d with d ≥ 1, and gives a variational formula for the corresponding rate function Ia. Under the non
Results 1 - 10 of 621