Periodic and Recursive Control Theoretic Smoothing Splines
(English)Manuscript (preprint) (Other academic)
In this paper, a recursive control theoretic smoothing spline approach is proposed forreconstructing a closed contour.Periodic splines are generated by minimizing a cost function subjectto constraints imposed by a linear control system. The optimal controlproblem is shown to be proper, andsufficient optimality conditions are derived for a special case of the problem using Hamilton-Jacobi-Bellman theory.
The filtering effect of the smoothing splines allows for usageof noisy sensor data. An important feature of the method is thatseveral data sets for the same closed contour can be processedrecursively so that the accuracy is improved stepwiseas new data becomes available.
Smoothing splines, optimal control, Hamilton-Jacobi-Bellman theory, periodic solutions
IdentifiersURN: urn:nbn:se:kth:diva-11147OAI: oai:DiVA.org:kth-11147DiVA: diva2:236374
QC 201007222009-10-012009-09-222010-07-22Bibliographically approved