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Proceedings Paper

Regularized cubic B-spline approximation for processing laser Doppler anemometry data
Author(s): Robert P. Bennell
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Paper Abstract

We consider the application of Tikhonov type regularization methods for computing a cubic spline approximation to the solution of a particular Fredholm integral equation of the first kind which arises in laser Doppler anemometry experiments. The method of generalized cross validation is used to calculate an unbiased estimate to the value of the regularization parameter controlling the trade-off between the smoothness of the approximation and the fidelity of the tranformed approximation to the data, which are assumed to be contaminated by 'white noise' error. Numerical results are presented, for zero order regularization on simulated laser anemometry data, which demonstrate that the success of the method is dependent on the positioning of the knots of the spline. Proposed extensions to this work are discussed, which include techniques for incorporating cross validation with higher orders of regularization and the addition of an automatic knot selection algorithm.

Paper Details

Date Published: 9 October 1995
PDF: 12 pages
Proc. SPIE 2570, Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, (9 October 1995); doi: 10.1117/12.224167
Show Author Affiliations
Robert P. Bennell, Cranfield Univ. (United Kingdom)


Published in SPIE Proceedings Vol. 2570:
Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications
Randall Locke Barbour; Mark J. Carvlin; Michael A. Fiddy, Editor(s)

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