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This study was supported by Ministerio de Ciencia e Innovacion (FPI program, TEC 2007-64731, TEC 2008-06715, and CENIT AMIT CEN-20101014), Comunidad de Madrid and European Regional Development Fund ARTE-MIS S2009/DPI-1802, and EU-FP7 project FMTXCT-201792.

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Aguirre, JAuthor

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Article

Fluorescence diffuse optical tomography using the split Bregman method

Publicated to:MEDICAL PHYSICS. 38 (11): 6275-6284 - 2011-11-01 38(11), DOI: 10.1118/1.3656063

Authors: Abascal, J F P -J; Chamorro-Servent, J; Aguirre, J; Arridge, S; Correia, T; Ripoll, J; Vaquero, J J; Desco, M

Affiliations

Hosp Gen Univ Gregorio Maranon, Unidad Med & Cirug Expt, CIBER Salud Mental CIBERSAM, Madrid 28007, Spain - Author
Inst Elect Struct & Laser Fdn Res & Technol Hella, Iraklion 71110, Greece - Author
UCL, Dept Comp Sci, London WC1E 6BT, England - Author
Univ Carlos III Madrid, Dept Bioingn Ingn & Aeroespacial, Madrid 28911, Spain - Author

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. (C) 2011 American Association of Physicists in Medicine. [DOI: 10.1118/1.3656063]

Keywords

Constrained optimizationDiffuse optical tomographyImage-reconstructionIn-vivoL1-regularizationLightMolecular tomographyRegularizationScattering mediaSplit bregmanSystemTotal variation

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal MEDICAL PHYSICS due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2011, it was in position 29/116, thus managing to position itself as a Q1 (Primer Cuartil), in the category Radiology, Nuclear Medicine & Medical Imaging.

From a relative perspective, and based on the normalized impact indicator calculated from the Field Citation Ratio (FCR) of the Dimensions source, it yields a value of: 6.28, which indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: Dimensions Jun 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-06-26, the following number of citations:

  • WoS: 55
  • Scopus: 61
  • OpenCitations: 56

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-06-26:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 31 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Greece; United Kingdom.