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This paper presents our work which involves the application of a recursive Bayesian filter, the Gaussian mixture probability hypothesis density (GMPHD) filter, to a visual tracking problem. Foreground objects are detected using statistical background modeling to obtain measurements which are input into the filter. The GMPHD filter explicitly models the birth, survival and death of objects by managing...
In this paper, we derive the updating formula of the cardinalized probability hypothesis density (CPHD) filter recently developed in the works of Mahler et al., (2006) from the non- Poisson multiple-hypothesis tracking (MHT) algorithm developed earlier in the works of Mori et al. (2004). The particular form of the CPHD updating formula developed in this paper is expressed only with the probability...
The cardinalized probability hypothesis density (CPHD) filter is a recursive Bayesian algorithm for estimating multiple target states with varying target number in clutter. In particular, the Gaussian mixture variant (GMCPHD) for linear, Gaussian systems is a candidate for real time multi target tracking. The present work addresses the following three issues: (i) we show the equivalence between the...
The PHD filter propagates a multitarget statistical first moment, the probability hypothesis density (PHD), in place of the full multitarget posterior distribution. It has been the basis of a systematic approach to multisensor, multitarget sensor management based on the posterior expected number of targets (PENT) objective function. The PHD filter has since been generalized to the cardinalized PHD...
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