Corpus ID: 119467069

A hybrid inversion scheme of Markov-chain Monte Carlo and iterative methods for diffuse optical tomography

@article{Jiang2018AHI,
  title={A hybrid inversion scheme of Markov-chain Monte Carlo and iterative methods for diffuse optical tomography},
  author={Y. Jiang and M. Machida and Gen Nakamura},
  journal={arXiv: Computational Physics},
  year={2018}
}
  • Y. Jiang, M. Machida, Gen Nakamura
  • Published 2018
  • Mathematics, Physics
  • arXiv: Computational Physics
  • Diffuse optical tomography is formulated as inverse coefficient problems for the diffusion equation. Iterative inversion schemes such as the Levenberg-Marquardt algorithm are known to fail when initial guesses are not close to the true value of the coefficient to be reconstructed. In this paper, we investigate how this weakness of iterative schemes is overcome by the use of Monte Carlo. We present a toy model of diffuse optical tomography for which the Levenberg-Marquardt algorithm fails to… CONTINUE READING

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    References

    SHOWING 1-10 OF 32 REFERENCES
    Optical tomography in medical imaging
    • 2,252
    • PDF
    Bayesian inverse problems with Monte Carlo forward models
    • 20
    An adaptive Metropolis algorithm
    • 1,795
    • PDF
    Optical tomography: forward and inverse problems
    • 466
    • PDF
    Multipixel Retrieval of Structural and Optical Parameters in a 2-D Scene With a Path-Recycling Monte Carlo Forward Model and a New Bayesian Inference Engine
    • 11
    • PDF
    Monte Carlo Strategies
    • 210
    Markov Chains for Exploring Posterior Distributions
    • 3,363
    • PDF