This paper presents algorithms for prediction, tracking, and retrodiction for targets whose motion is constrained
by external conditions (e.g., shipping lanes, roads). The targets are moving along a path, defined by way-points
and segments. Measurements are obtained by sensors at low revisit rates (e.g., spaceborne). Existing tracking
algorithms assume that the targets follow the same motion model between successive measurements, but in a
low revisit rate scenario targets may change the motion model between successive measurements. The proposed
prediction algorithm addresses this issue by considering possible motion model whenever targets move to a
different segment. Further, when a target approaches a junction, it has the possibility to travel into one of
the multiple segments connected to that junction. To predict the probable locations, multiple hypotheses for
segments are introduced and a probability is calculated for each segment hypothesis. When measurements become
available, segment hypothesis probability is updated based on a combined mode likelihood and a sequential
probability ratio test is carried out to reject the hypotheses. Retrodiction for path constrained targets is also
considered, because in some scenarios it is desirable to find out the target's exact location at some previous time
(e.g., at the time of an oil leakage). A retrodiction algorithm is also developed for path constrained targets so
as to facilitate motion forensic analysis. Simulation results are presented to validate the proposed algorithm.
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