recursive b-spline approximation using the kalman filter

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ID: 233064
2017
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Abstract
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.
Reference Key
jauch2017engineeringrecursive Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Jens Jauch;Felix Bleimund;Stephan Rhode;Frank Gauterin
Journal International journal of molecular sciences
Year 2017
DOI
10.1016/j.jestch.2016.09.015
URL
http://www.sciencedirect.com/science/article/pii/S2215098616303032
Keywords
kalman filter civil engineering (general) onlineengineering (general)

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