Dynamical Vision
DOI: 10.1007/978-3-540-70932-9_15
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Bayesian Tracking with Auxiliary Discrete Processes. Application to Detection and Tracking of Objects with Occlusions

Abstract: Abstract. A number of Bayesian tracking models involve auxiliary discrete variables beside the main hidden state of interest. These discrete variables usually follow a Markovian process and interact with the hidden state either via its evolution model or via the observation process, or both. We consider here a general model that encompasses all these situations, and show how Bayesian filtering can be rigorously conducted with it. The resulting approach facilitates easy re-use of existing tracking algorithms de… Show more

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Cited by 6 publications
(3 citation statements)
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“…In general, the selection of an adequate state space is a compromise between two goals: on one hand, the state space should provide the richest information to further higher level analysis modules, and be precise enough so as to model as well as possible the information in the image and video. In other words (and even if such information is not requested by the application), adding relevant auxiliary variables in the state space that simplifies the modeling of other components (dynamics, appearance) is often useful [Perez and Vermaak, 2005]. On the other hand, the state has to remain simple enough and appropriate to the quality level of the data (i.e.…”
Section: Monte-carlo Methodsmentioning
confidence: 99%
“…In general, the selection of an adequate state space is a compromise between two goals: on one hand, the state space should provide the richest information to further higher level analysis modules, and be precise enough so as to model as well as possible the information in the image and video. In other words (and even if such information is not requested by the application), adding relevant auxiliary variables in the state space that simplifies the modeling of other components (dynamics, appearance) is often useful [Perez and Vermaak, 2005]. On the other hand, the state has to remain simple enough and appropriate to the quality level of the data (i.e.…”
Section: Monte-carlo Methodsmentioning
confidence: 99%
“…For a given plot, only two components are displayed have been used to track objects when different types of dynamics can occur (Isard and Blake 1998). Other examples of auxiliary discrete variables beside the main hidden state of interest are given in (Perez and Vermaak 2005). Since τ a(t) and γ t are highly correlated their simultaneous estimation will give results that are more robust and accurate than results obtained with methods estimating them in sequence.…”
Section: Approachmentioning
confidence: 98%
“…Such models have been used to track objects when different types of dynamics can occur (Isard & Blake, 1998). Other examples of auxiliary discrete variables beside the main hidden state of interest are given in (Perez & Vermaak, 2005). Since τ a(t) and γ t are highly correlated their simultaneous estimation will give results that are more robust and accurate than results obtained with methods estimating them in sequence.…”
Section: Approachmentioning
confidence: 99%