Reduction of Poisson noise in measured time-resolved data for time-domain diffuse optical tomography

Med Biol Eng Comput. 2012 Jan;50(1):69-78. doi: 10.1007/s11517-011-0774-7. Epub 2011 Apr 16.

Abstract

A method to reduce noise for time-domain diffuse optical tomography (DOT) is proposed. Poisson noise which contaminates time-resolved photon counting data is reduced by use of maximum a posteriori estimation. The noise-free data are modeled as a Markov random process, and the measured time-resolved data are assumed as Poisson distributed random variables. The posterior probability of the occurrence of the noise-free data is formulated. By maximizing the probability, the noise-free data are estimated, and the Poisson noise is reduced as a result. The performances of the Poisson noise reduction are demonstrated in some experiments of the image reconstruction of time-domain DOT. In simulations, the proposed method reduces the relative error between the noise-free and noisy data to about one thirtieth, and the reconstructed DOT image was smoothed by the proposed noise reduction. The variance of the reconstructed absorption coefficients decreased by 22% in a phantom experiment. The quality of DOT, which can be applied to breast cancer screening etc., is improved by the proposed noise reduction.

MeSH terms

  • Humans
  • Image Interpretation, Computer-Assisted / methods*
  • Markov Chains
  • Phantoms, Imaging
  • Poisson Distribution
  • Tomography, Optical / methods*