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SPECIAL SECTION ON IMAGING THROUGH SCATTERING MEDIA

Three-dimensional optical tomography with the equation of radiative transfer

[+] Author Affiliations
Gassan S. Abdoulaev, Andreas H. Hielscher

Columbia University, Departments of Biomedical Engineering & Radiology, 500 West 120th Street, ET351 Mudd Building, MC 8904, New York, New York?10027E-mail: ahh2004@columbia.edu

J. Electron. Imaging. 12(4), 594-601 (Oct 01, 2003). doi:10.1117/1.1587730
History: Received Oct. 1, 2002; Revised Mar. 28, 2003; Accepted Mar. 28, 2003; Online October 22, 2003
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We report on the derivation and implementation of the first three-dimensional optical tomographic image reconstruction scheme that is based on the time-independent equation of radiative transfer (ERT) and allows for arbitrarily shaped medium boundaries and arbitrary spatial material distributions. The scheme builds on the concept of model-based iterative image reconstruction, in which a forward model provides prediction of detector readings, and a gradient-based updating scheme minimizes an appropriately defined objective function. The forward model is solved by using an even-parity formulation of the ERT, which lends itself to a finite-element discretization method. The finite-element technique provides the suitable framework for predicting light propagation in arbitrarily shaped three-dimensional media. For an efficient way of calculating the gradient of the objective function we have implemented an adjoint differentiation scheme. Initial reconstruction results using synthetic data from simple media and a three-dimensional mesh of the human forehead illustrate the performance of the code. © 2003 SPIE and IS&T.

© 2003 SPIE and IS&T

Citation

Gassan S. Abdoulaev and Andreas H. Hielscher
"Three-dimensional optical tomography with the equation of radiative transfer", J. Electron. Imaging. 12(4), 594-601 (Oct 01, 2003). ; http://dx.doi.org/10.1117/1.1587730


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