Institut für Fahrzeugsystemtechnik

Recursive B-spline approximation using the Kalman filter

  • Autor:

    Jauch, J.

    Bleimund, F.

    Rhode, S.

    Gauterin, F.

  • Quelle:

    Engineering Science and Technology, an International Journal, Elsevier, Amsterdam, Netherlands, 2016, Volume 20, Issue 1, pp 28-34

  • Datum: 15.09.2016
  • This paper proposes a novel recursive B-spline approximation (RBA) algorithm which approximates an unbounded number of data points with a B-spline function and achieves lower computational effort compared with previous algorithms. Conventional recursive algorithms based on the Kalman filter (KF) restrict the approximation to a bounded and predefined interval. Conversely RBA includes a novel shift operation that enables to shift estimated B-spline coefficients in the state vector of a KF. This allows to adapt the interval in which the B-spline function can approximate data points during run-time.