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Forward-Backward Probability Hypothesis Density Smoothing
IEEE Transactions on Aerospace and Electronic Systems, 2012A forward-backward probability hypothesis density (PHD) smoother involving forward filtering followed by backward smoothing is proposed. The forward filtering is performed by Mahler's PHD recursion. The PHD backward smoothing recursion is derived using finite set statistics (FISST) and standard point process theory.
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Analytic Implementations of the Cardinalized Probability Hypothesis Density Filter
IEEE Transactions on Signal Processing, 2007The probability hypothesis density (PHD) recursion propagates the posterior intensity of the random finite set (RFS) of targets in time. The cardinalized PHD (CPHD) recursion is a generalization of the PHD recursion, which jointly propagates the posterior intensity and the posterior cardinality distribution.
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Data-Driven Probability Hypothesis Density Filter for Visual Tracking
IEEE Transactions on Circuits and Systems for Video Technology, 2008We apply the probability hypothesis density (PHD) filter to track a random number of pedestrians in image sequences. The PHD filter is implemented using particle filter. How to design importance functions of the particle PHD filter remains a challenge, especially when targets can appear, disappear, merge, or split at any time.
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Probability hypothesis density filter with uncertainty in the probability of detection
Advances in Space Research, 2021Abstract The space around the earth is becoming increasingly populated. Efficient tracking algorithms are hence integral to protect active space assets from collisions. Ground-based measurements are the primary source of information for any tracking algorithm.
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The spline probability hypothesis density filter
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