This paper investigates an approximation scheme of the optimal nonlinear Bayesian filter based on the Gaussian mixture representation of the state probability distribution function. The resulting filter is similar to the particle filter, but is different from it in that the standard weight-type correction in the particle filter is complemented by the Kalman-type correction with the associated c...

Kalman filtering has been extensively used technique to estimate the states of discrete-time dynamic systems in a wide range of applications such as control system, signal processing and communication systems etc. A correct and accurate state estimation of linear or non-linear system can be improved by selecting the proper estimation technique. State estimation can be improved by linearizing th...

Kalman filters are often used to estimate the state variables of a dynamic system. However, in the application of Kalman filters some known signal information is often either ignored or dealt with heuristically. For instance, state variable constraints (which may be based on physical considerations) are often neglected because they do not fit easily into the structure of the Kalman filter. Rece...

A novel region-based multiple object tracking framework based on Kalman filtering and elastic matching is proposed. The proposed Kalman filtering-elastic matching model is general in two significant ways. First, it is suitable for tracking of both, rigid and elastic objects. Second, it is suitable for tracking using both, fixed cameras and moving cameras since the method does not rely on backgr...