Approximation errors and model reduction in three-dimensional diffuse optical tomography

作者:Kolehmainen Ville*; Schweiger Martin; Nissila Ilkka; Tarvainen Tanja; Arridge Simon R; Kaipio Jari P
来源:Journal of the Optical Society of America A-Optics Image Science and Vision, 2009, 26(10): 2257-2268.
DOI:10.1364/josaa.26.002257

摘要

Model reduction is often required in diffuse optical tomography (DOT), typically because of limited available computation time or computer memory. In practice, this means that one is bound to use coarse mesh and truncated computation domain in the model for the forward problem. We apply the (Bayesian) approximation error model for the compensation of modeling errors caused by domain truncation and a coarse computation mesh in DOT. The approach is tested with a three-dimensional example using experimental data. The results show that when the approximation error model is employed, it is possible to use mesh densities and computation domains that would be unacceptable with a conventional measurement error model.

  • 出版日期2009-10