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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 47, Iss. 3 — Jan. 20, 2008
  • pp: 407–416

Parameter selection methods for axisymmetric flame tomography through Tikhonov regularization

Emil O. Åkesson and Kyle J. Daun  »View Author Affiliations


Applied Optics, Vol. 47, Issue 3, pp. 407-416 (2008)
http://dx.doi.org/10.1364/AO.47.000407


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Abstract

Deconvolution of optically collected axisymmetric flame data is equivalent to solving an ill-posed problem subject to severe error amplification. Tikhonov regularization has recently been shown to be well suited for stabilizing this deconvolution, although the success of this method hinges on choosing a suitable regularization parameter. Incorporating a parameter selection scheme transforms this technique into a reliable automatic algorithm that outperforms unregularized deconvolution of a smoothed data set, which is currently the most popular way to analyze axisymmetric data. We review the discrepancy principle, L-curve curvature, and generalized cross-validation parameter selection schemes and conclude that the L-curve curvature algorithm is best suited to this problem.

© 2008 Optical Society of America

OCIS Codes
(120.1740) Instrumentation, measurement, and metrology : Combustion diagnostics
(120.7000) Instrumentation, measurement, and metrology : Transmission
(280.1740) Remote sensing and sensors : Combustion diagnostics
(280.2470) Remote sensing and sensors : Flames

ToC Category:
Remote Sensing and Sensors

History
Original Manuscript: August 22, 2007
Manuscript Accepted: November 24, 2007
Published: January 17, 2008

Citation
Emil O. Åkesson and Kyle J. Daun, "Parameter selection methods for axisymmetric flame tomography through Tikhonov regularization," Appl. Opt. 47, 407-416 (2008)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-47-3-407

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