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Journal of Medical Imaging • Open Access

Primal-dual approach to optical tomography with discretized path integral with efficient formulations
Author(s): Bingzhi Yuan; Toru Tamaki; Bisser Raytchev; Kazufumi Kaneda

Paper Abstract

We propose an efficient optical tomography with discretized path integral. We first introduce the primal-dual approach to solve the inverse problem formulated as a constraint optimization problem. Next, we develop efficient formulations for computing Jacobian and Hessian of the cost function of the constraint nonlinear optimization problem. Numerical experiments show that the proposed formulation is faster (23.14±1.32  s) than the previous work with the log-barrier interior point method (91.17±1.48  s) for the Shepp–Logan phantom with a grid size of 24×24, while keeping the quality of the estimation results (root-mean-square error increasing by up to 12%).

Paper Details

Date Published: 19 July 2017
PDF: 10 pages
J. Med. Imag. 4(3) 033501 doi: 10.1117/1.JMI.4.3.033501
Published in: Journal of Medical Imaging Volume 4, Issue 3
Show Author Affiliations
Bingzhi Yuan, Hiroshima Univ. (Japan)
Toru Tamaki, Hiroshima Univ. (Japan)
Bisser Raytchev, Hiroshima Univ. (Japan)
Kazufumi Kaneda, Hiroshima Univ. (Japan)

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