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15 May 2012Polynomial fitting adaptive Kalman filter tracking and choice of correlation coefficient
Kalman filters have been used as a robust method for object location prediction in various tracking algorithms for
nearly a decade. More recently, adaptive and extended Kalman filters have been employed, making predictions
even more reliable. The presented addition to this trend is the employment of a polynomial fit to the history of
object locations, using the adaptive Kalman filter framework. This allows the linear state model of the adaptive
Kalman filter to predict non-linear motion, making tracking more robust. This modified filter will be used in
conjunction with the Mean Shift algorithm as the measurement step. Another important consideration when
using a Kalman filter in this manner will be which correlation coefficient is used. The Pearson product-moment
correlation coefficient is shown to provide more robust tracking when compared to the Bhattacharyya coefficient
when objects have either low resolution or are unresolved.
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Kyle Ausfeld, Zoran Ninkov, Paul P. K. Lee, J. Daniel Newman, Gregory Gosian, "Polynomial fitting adaptive Kalman filter tracking and choice of correlation coefficient," Proc. SPIE 8395, Acquisition, Tracking, Pointing, and Laser Systems Technologies XXVI, 83950R (15 May 2012); https://doi.org/10.1117/12.919717