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

Misha E. Kilmer, Eric L. Miller, Alethea Barbaro, David Boas

Research output: Contribution to journalArticleScientificpeer-review

48 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)3129-3144
Number of pages16
JournalApplied Optics
Volume42
Issue number16
DOIs
Publication statusPublished - 1 Jun 2003
Externally publishedYes

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