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A Survey of Convergence Results on Particle Filtering Methods for Practitioners
, 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 closedform expression. Particle filtering methods are a set of flexible and powerful sequential Monte Carlo methods designed to solve the o ..."
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Cited by 247 (8 self)
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the optimal filtering problem numerically. The posterior distribution of the state is approximated by a large set of Diracdelta 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
 IEEE TRANS. AEROSP. ELECTRON. SYST
, 2003
"... Tracking of multiple objects simultaneously over time is an important research problem. When the number ..."
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Cited by 4 (1 self)
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Tracking of multiple objects simultaneously over time is an important research problem. When the number
Painterly Rendering for Animation
 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 handcrafted look. We extend the still frame meth ..."
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Cited by 227 (2 self)
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technique provides for frametoframe 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
SetValued Means of Random Particles
, 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 setvalued means and realvalued variances for samples of such figures. In obtaining these results, the images a ..."
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Cited by 5 (0 self)
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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 setvalued means and realvalued variances for samples of such figures. In obtaining these results, the images
RaoBlackwellised Particle Filtering in Random Set Multitarget Tracking
, 2006
"... This article introduces a RaoBlackwellised 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 ..."
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Cited by 10 (0 self)
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This article introduces a RaoBlackwellised 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 bearingsonly multitarget tracking
 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 ..."
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Cited by 2 (0 self)
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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
 In IEEE Workshop on MultiObject 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 ..."
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Cited by 37 (2 self)
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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
 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 ..."
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Cited by 44 (3 self)
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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 RealTime Implementation of a Random Finite Set Particle Filter
"... 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 multitarget likelihood function is proposed. This approximation is used to implement a realtime random finite set particle filter on a graphical processing
Large deviations for random walk in a random environment
, 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 nonnestling assump ..."
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Cited by 22 (4 self)
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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
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621