Minimal residual method provides optimal regularization parameter for diffuse optical tomography

Jagannath, Ravi Prasad K and Yalavarthy, Phaneendra K (2012) Minimal residual method provides optimal regularization parameter for diffuse optical tomography. In: Journal of Biomedical Optics, 17 (10). pp. 106015-1.

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Abstract

The inverse problem in the diffuse optical tomography is known to be nonlinear, ill-posed, and sometimes under-determined, requiring regularization to obtain meaningful results, with Tikhonov-type regularization being the most popular one. The choice of this regularization parameter dictates the reconstructed optical image quality and is typically chosen empirically or based on prior experience. An automated method for optimal selection of regularization parameter that is based on regularized minimal residual method (MRM) is proposed and is compared with the traditional generalized cross-validation method. The results obtained using numerical and gelatin phantom data indicate that the MRM-based method is capable of providing the optimal regularization parameter. (C) 2012 Society of Photo-Optical Instrumentation Engineers (SPIE). DOI: 10.1117/1.JBO.17.10.106015]

Item Type:	Journal Article
Publication:	Journal of Biomedical Optics
Publisher:	International Society for Optical Engineering
Additional Information:	Copyright of this article belongs to International Society for Optical Engineering.
Keywords:	Near Infrared; Diffuse Optical Tomography; Image Reconstruction; Inverse Problems; Minimal Residual Method; Generalized Cross-Validation Method
Department/Centre:	Division of Interdisciplinary Sciences > Supercomputer Education & Research Centre
Date Deposited:	20 Feb 2013 08:57
Last Modified:	20 Feb 2013 08:57
URI:	http://eprints.iisc.ac.in/id/eprint/45385

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