TRACKING OBJECTS WITH UNKNOWN DYNAMICS
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This paper discusses techniques that can be used by an imaging system to track an object that has unknown dynamics. A method to estimate an object's velocity from a single image using centroiding is presented. Inertial derivatives present one possible means of estimating motion by assuming linear dynamics. Accuracy of the estimate can be further improved by implementing a continuous-discrete Kalman filter on the measurements. A second method is then presented using non-rational Bzier curves to estimate the dynamics of the object in the image plane. Bzier curves are shown to be a superior method of tracking an object for short periods of time and a viable means of tracking an object exhibiting random walk behavior.