Fluorescence diffuse optical tomography using the split Bregman method

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dc.contributor.author Abascal, Juan
dc.contributor.author Chamorro Servent, Judit
dc.contributor.author Aguirre, Juan
dc.contributor.author Arridge, Simon
dc.contributor.author Correia, Teresa
dc.contributor.author Ripoll Lorenzo, Jorge
dc.contributor.author Vaquero López, Juan José
dc.contributor.author Desco Menéndez, Manuel
dc.date.accessioned 2012-07-10T10:14:42Z
dc.date.available 2012-07-10T10:14:42Z
dc.date.issued 2011-11
dc.identifier.bibliographicCitation Medical Physics, vol. 38, n. 11, nov. 2011. Pp. 6275-6284
dc.identifier.issn 0094-2405
dc.identifier.uri http://hdl.handle.net/10016/14864
dc.description.abstract Purpose: Standard image reconstruction methods for fluorescence Diffuse Optical Tomography (fDOT) generally make use of L2-regularization. A better choice is to replace the L2 by a total variation functional that effectively removes noise while preserving edges. Among the wide range of approaches available, the recently appeared Split Bregman method has been shown to be optimal and efficient. Furthermore, additional constraints can be easily included. We propose the use of the Split Bregman method to solve the image reconstruction problem for fDOT with a nonnegativity constraint that imposes the reconstructed concentration of fluorophore to be positive. Methods: The proposed method is tested with simulated and experimental data, and results are compared with those yielded by an equivalent unconstrained optimization approach based on Gauss Newton (GN) method, in which the negative part of the solution is projected to zero after each iteration. In addition, the method dependence on the parameters that weigh data fidelity and nonnegativity constraints is analyzed. Results: Split Bregman yielded a reduction of the solution error norm and a better full width at tenth maximum for simulated data, and higher signal-to-noise ratio for experimental data. It is also shown that it led to an optimum solution independently of the data fidelity parameter, as long as the number of iterations is properly selected, and that there is a linear relation between the number of iterations and the inverse of the data fidelity parameter. Conclusions: Split Bregman allows the addition of a nonnegativity constraint leading to improve image quality.
dc.description.sponsorship This study was supported by Ministerio de Ciencia e Innovación (FPI program, TEC 2007-64731, TEC 2008- 06715, and CENIT AMIT CEN-20101014), Comunidad de Madrid and European Regional Development Fund ARTEMIS S2009/DPI-1802, and EU-FP7 project FMTXCT- 201792.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher American Institute of Physics
dc.rights Atribución-NoComercial-SinDerivadas 3.0 España
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.other Diffuse optical tomography
dc.subject.other L1-regularization
dc.subject.other Total variation
dc.subject.other Constrained optimization
dc.subject.other Split Bregman
dc.title Fluorescence diffuse optical tomography using the split Bregman method
dc.type article
dc.description.status Publicado
dc.relation.publisherversion http://dx.doi.org/10.1118/1.3656063
dc.subject.eciencia Biología y Biomedicina
dc.identifier.doi 10.1118/1.3656063
dc.rights.accessRights openAccess
dc.relation.projectID Comunidad de Madrid. S2009/DPI-1802/ARTEMIS
dc.relation.projectID Gobierno de España. TEC2007-64731
dc.relation.projectID Gobierno de España. TEC2008-06715
dc.relation.projectID Gobierno de España. CEN-20101014
dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/201792
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 6275
dc.identifier.publicationissue 11
dc.identifier.publicationlastpage 6284
dc.identifier.publicationtitle Medical Physics
dc.identifier.publicationvolume 38
dc.identifier.uxxi AR/0000009447
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