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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 19 — Jul. 1, 2010
  • pp: 3741–3747

Total variation regularization for nonlinear fluorescence tomography with an augmented Lagrangian splitting approach

Manuel Freiberger, Christian Clason, and Hermann Scharfetter  »View Author Affiliations

Applied Optics, Vol. 49, Issue 19, pp. 3741-3747 (2010)

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Fluorescence tomography is an imaging modality that seeks to reconstruct the distribution of fluorescent dyes inside a highly scattering sample from light measurements on the boundary. Using common inversion methods with L 2 penalties typically leads to smooth reconstructions, which degrades the obtainable resolution. The use of total variation (TV) regularization for the inverse model is investigated. To solve the inverse problem efficiently, an augmented Lagrange method is utilized that allows separating the Gauss–Newton minimization from the TV minimization. Results on noisy simulation data provide evidence that the reconstructed inclusions are much better localized and that their half-width measure decreases by at least 25% compared to ordinary L 2 reconstructions.

© 2010 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(100.6950) Image processing : Tomographic image processing
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(260.2510) Physical optics : Fluorescence

ToC Category:
Image Processing

Original Manuscript: January 12, 2010
Manuscript Accepted: May 25, 2010
Published: June 24, 2010

Virtual Issues
Vol. 5, Iss. 11 Virtual Journal for Biomedical Optics

Manuel Freiberger, Christian Clason, and Hermann Scharfetter, "Total variation regularization for nonlinear fluorescence tomography with an augmented Lagrangian splitting approach," Appl. Opt. 49, 3741-3747 (2010)

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