Research Papers: Imaging

Diffuse optical tomographic imaging of biological media by time-dependent parabolic SPN equations: a two-dimensional study

[+] Author Affiliations
Jorge Bouza Domínguez

Université de Sherbrooke, Laboratoire TomOptUS, Département de Génie Electrique et de Génie Informatique, Faculté de génie, 2500 Boulevard Université, Sherbrooke, Québec, J1K 2R1, Canada

Yves Bérubé-Lauzière

Université de Sherbrooke, Laboratoire TomOptUS, Département de Génie Electrique et de Génie Informatique, Faculté de génie, 2500 Boulevard Université, Sherbrooke, Québec, J1K 2R1, Canada

Centre d’Imagerie Moléculaire de Sherbrooke (CIMS)—Centre de Recherche Clinique Étienne-Le Bel du CHUS, 3001, 12e Avenue Nord, Sherbrooke, Québec, J1H 5N4, Canada

J. Biomed. Opt. 17(8), 086012 (Aug 29, 2012). doi:10.1117/1.JBO.17.8.086012
History: Received December 16, 2011; Revised July 2, 2012; Accepted July 12, 2012
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Abstract.  We investigate the problem of retrieving the optical properties (absorption and scattering) of biological tissue from a set of optical measurements. A diffuse optical tomography (DOT) algorithm that incorporates constrained optimization methods is implemented. To improve image quality, the DOT algorithm exploits full time-domain data. The time-dependent parabolic simplified spherical harmonics equations (TD-pSPN) are used as the forward model. Time-dependent adjoint variables are resorted to in the calculation of the gradient of the objective function. Several numerical experiments for small geometric media with embedded inclusions that mimic small animal imaging are performed. In the experiments, optical coefficient values are varied in the range of realistic values for the near-infrared spectrum, including high absorption values. Single and multiparameter reconstructions are performed with the diffusion equation and higher orders of the TD-pSPN equations. The results suggest the DOT algorithm based on the TD-pSPN model outperforms the DE, and accurately reconstructs optical parameter distributions of biological media both spatially and quantitatively.

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© 2012 Society of Photo-Optical Instrumentation Engineers

Citation

Jorge Bouza Domínguez and Yves Bérubé-Lauzière
"Diffuse optical tomographic imaging of biological media by time-dependent parabolic SPN equations: a two-dimensional study", J. Biomed. Opt. 17(8), 086012 (Aug 29, 2012). ; http://dx.doi.org/10.1117/1.JBO.17.8.086012


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