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- W4297789063 abstract "The family of pointillist multitarget tracking filters is defined to be the class of filters that is characterized by a joint target-measurement finite point process. The probability generating functional (PGFL) of the joint process is derived directly from the probabilistic structure of the tracking problem. PGFLs exemplify the analytic combinatoric method applied to the measurement to target assignment problems that are fundamental to the tracking problem. It is shown that multi-hypothesis tracking (MHT), joint probabilistic data association (JPDA), and many other now-classic tracking filters can be derived via PGFLs, and thus are members of the family of pointillist filters. When one or more of the target processes are dimensionally compatible, targets can be superposed. It is shown that the classic MHT filter for superposed targets is closely related to the multi-Bernoulli filter. A technique is presented for deriving the functional derivatives by ordinary differentiation, and both exact and approximate methods for evaluating the ordinary derivatives are discussed." @default.
- W4297789063 created "2022-10-01" @default.
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- W4297789063 date "2015-05-29" @default.
- W4297789063 modified "2023-09-25" @default.
- W4297789063 title "The Pointillist Family of Multitarget Tracking Filters" @default.
- W4297789063 doi "https://doi.org/10.48550/arxiv.1505.08000" @default.
- W4297789063 hasPublicationYear "2015" @default.
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