Communications in Information & Systems

Periodic and Recursive Control Theoretic Smoothing Splines

Maja Karasalo, Xiaoming Hu, and Clyde F. Martin

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Abstract

In this paper, a recursive control theoretic smoothing spline approach is proposed for reconstructing a closed contour. Periodic splines are generated by minimizing a cost function subject to constraints imposed by a linear control system. The optimal control problem is shown to be proper, and sufficient 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 usage of noisy sensor data. An important feature of the method is that several data sets for the same closed contour can be processed recursively so that the accuracy is improved stepwise as new data becomes available.

Article information

Source
Commun. Inf. Syst., Volume 10, Number 3 (2010), 137-154.

Dates
First available in Project Euclid: 31 August 2010

Permanent link to this document
https://projecteuclid.org/euclid.cis/1283286155

Mathematical Reviews number (MathSciNet)
MR2720258

Zentralblatt MATH identifier
1202.93046

Keywords
Smoothing splines optimal control Hamilton-Jacobi-Bellman theory periodic solutions

Citation

Karasalo, Maja; Hu, Xiaoming; Martin, Clyde F. Periodic and Recursive Control Theoretic Smoothing Splines. Commun. Inf. Syst. 10 (2010), no. 3, 137--154. https://projecteuclid.org/euclid.cis/1283286155


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