Journal
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION
Volume 38, Issue 7, Pages 1032-1040Publisher
OPTICAL SOC AMER
DOI: 10.1364/JOSAA.421219
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Funding
- National Natural Science Foundation of China [11971121]
- Japan Society for the Promotion of Science KAKENHI [JP17K05572, JP18K03438, JP16K05418]
- Hamamatsu University School of Medicine
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Diffuse optical tomography uses near-infrared light and an iterative numerical scheme, with simulated annealing proposed as a method to find solutions even without good initial guesses. The proposed numerical method successfully reconstructs targets in the medium by finding the ground state of a spin Hamiltonian using simulated annealing.
Diffuse optical tomography (DOT) is an imaging modality that uses near-infrared light. Although iterative numerical schemes are commonly used for its inverse problem, correct solutions are not obtained unless good initial guesses are chosen. We propose a numerical scheme of DOT, which works even when good initial guesses of optical parameters are not available. We use simulated annealing (SA), which is a method of the Markov-chain Monte Carlo. To implement SA for DOT, a spin Hamiltonian is introduced in the cost function, and the Metropolis algorithm or single-component Metropolis-Hastings algorithm is used. By numerical experiments, it is shown that an initial random spin configuration is brought to a converged configuration by SA, and targets in the medium are reconstructed. The proposed numerical method solves the inverse problem for DOT by finding the ground state of a spin Hamiltonian with SA. (c) 2021 Optical Society of America under the terms of the OSA Open Access Publishing Agreement
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