In order to estimate the position of the pen tip at each time step, we use a particular form of a recursive estimator, a Kalman Filter. Such an estimator can be used based on the assumptions that:Furthermore: Given the simple dynamical model of the pen tip motion, we can use the original Kalman Filter formulation, that assumes the system is linear, and that inaccuracies in the dynamical model and measurement noise can be modeled as gaussian processes. In our case, the assumption of gaussian noise is clearly unrealistic, since the innovation of the filter shows a lot of structure. We are working on implementing better models of handwriting generation that will fit the experimental results. Also, in order to speed up the estimator to run at real-time rates, a sequential measurement update scheme is used.
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Mario Enrique Munich - mariomu AT vision DOT caltech DOT edu