Research Papers

Selection of regularization parameter for optical topography

[+] Author Affiliations
Teresa Correia

University College London, Department of Medical Physics and Bioengineering, Gower Street, London WC1E 6BT, United Kingdom

Adam Gibson

University College London, Department of Medical Physics and Bioengineering, Gower Street, London WC1E 6BT, United Kingdom

Martin Schweiger

University College London, Department of Medical Physics and Bioengineering, Gower Street, London WC1E 6BT, United Kingdom and University College London, Department of Computer Science, Gower Street, London WC1E 6BT, United Kingdom

Jeremy Hebden

University College London, Department of Medical Physics and Bioengineering, Gower Street, London WC1E 6BT, United Kingdom

J. Biomed. Opt. 14(3), 034044 (June 23, 2009). doi:10.1117/1.3156839
History: Received October 14, 2008; Revised April 15, 2009; Accepted May 05, 2009; Published June 23, 2009
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The choice of the regularization parameter has a profound effect on the solution of ill-posed inverse problems such as optical topography. We review 11 different methods for selecting the Tikhonov regularization parameter that have been described previously in the literature. We test them on two trial problems, deblurring and optical topography, and conclude that the L-curve method is the method of choice, though in particularly ill-posed problems, generalized cross-validation may provide an alternative.

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© 2009 Society of Photo-Optical Instrumentation Engineers

Citation

Teresa Correia ; Adam Gibson ; Martin Schweiger and Jeremy Hebden
"Selection of regularization parameter for optical topography", J. Biomed. Opt. 14(3), 034044 (June 23, 2009). ; http://dx.doi.org/10.1117/1.3156839


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