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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 42, Iss. 16 — Jun. 1, 2003
  • pp: 3129–3144

Three-dimensional shape-based imaging of absorption perturbation for diffuse optical tomography

Misha E. Kilmer, Eric L. Miller, Alethea Barbaro, and David Boas  »View Author Affiliations


Applied Optics, Vol. 42, Issue 16, pp. 3129-3144 (2003)
http://dx.doi.org/10.1364/AO.42.003129


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Abstract

We present a shape-based approach to three-dimensional image reconstruction from diffuse optical data. Our approach differs from others in the literature in that we jointly reconstruct object and background characterization and localization simultaneously, rather than sequentially process for optical properties and postprocess for edges. The key to the efficiency and robustness of our algorithm is in the model we propose for the optical properties of the background and anomaly: We use a low-order parameterization of the background and another for the interior of the anomaly, and we use an ellipsoid to describe the boundary of the anomaly. This model has the effect of regularizing the inversion problem and provides a natural means of including additional physical properties if they are known a priori. A Gauss-Newton-type algorithm with line search is implemented to solve the underlying nonlinear least-squares problem and thereby determine the coefficients of the parameterizations and the descriptors of the ellipsoid. Numerical results show the effectiveness of this method.

© 2003 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.3190) Image processing : Inverse problems
(100.6890) Image processing : Three-dimensional image processing

History
Original Manuscript: September 5, 2002
Revised Manuscript: January 13, 2003
Published: June 1, 2003

Citation
Misha E. Kilmer, Eric L. Miller, Alethea Barbaro, and David Boas, "Three-dimensional shape-based imaging of absorption perturbation for diffuse optical tomography," Appl. Opt. 42, 3129-3144 (2003)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-42-16-3129

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