Recursive B-spline approximation using the Kalman filter

Engineering Science and Technology, an International Journal

关键词: Recursive;    B-spline;    Approximation;    Kalman filter;    Shift;    Online;   

DOI  :  10.1016/j.jestch.2016.09.015

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown