Method and system for tracking multiple regional objects

Communications: directive radio wave systems and devices (e.g. – Return signal controls radar system – Receiver

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342 90, G01S 1300

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054062896

ABSTRACT:
A method for tracking objects is disclosed. First a region containing the objects is scanned to generate a multiplicity of sequential images or data sets of the region. A plurality of points in each of the images or data sets corresponds to a respective plurality of the objects. Next, respective figures of merit are determined for assigning the points to the tracks. Next, a k-dimensional cost function is defined which sums the figures of merit for combinations of assignments from the images or data sets. Next, the complexity of the cost function is reduced by Lagrangian Relaxation by permitting a point to be assigned to more than one track and adding a penalty factor to the cost function when a point is assigned to more than one track. The reducing step is iteratively repeated and the resultant penalized cost function is solved. Next, an auxiliary function at a (k-1)-dimension is defined as a function of lower order penalty factors and a solution at the dimension at which the penalized cost function was solved directly. Next, a gradient of the auxiliary function is determined, a step is made in the direction of the gradient to identify a peak region of the auxiliary function and penalty factors at the peak region are determined. The penalty factors at the peak region are used to determine track assignments for the points in the images or data sets. Then one or more of the following actions are taken based on the track assignments: sending a warning to aircraft or a ground or sea facility, controlling air traffic, controlling anti-aircraft or anti-missile equipment, taking evasive action, working on one of the objects.

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