We formulate a solution to the diffuse optical tomography (DOT) inverse problem as the minimization of an energy functional of the solution and the data. For the solution prior we introduce a local diffusion regularization potential with a threshold based on robust statistics (the Hubert function). We compare results on simulated data for the Hubert function and two other standard regularization functionals, Tikhonov and total variation.
© 2005 Optical Society of America
(100.3020) Image processing : Image reconstruction-restoration
(100.3190) Image processing : Inverse problems
(100.6950) Image processing : Tomographic image processing
(170.5280) Medical optics and biotechnology : Photon migration
Abdel Douiri, Martin Schweiger, Jason Riley, and Simon Arridge, "Local diffusion regularization method for optical tomography reconstruction by using robust statistics," Opt. Lett. 30, 2439-2441 (2005)