Phys. Rev. E 70, 056616 (2004) [19 pages]Symmetries, inversion formulas, and image reconstruction for optical tomographyReceived 14 June 2004; published 30 November 2004 We consider the image recostruction problem for optical tomography with diffuse light. The associated inverse scattering problem is analyzed by making use of particular symmetries of the scattering data. The effects of sampling and limited data are analyzed for several different experimental modalities, and computationally efficient reconstruction algorithms are obtained. These algorithms are suitable for the reconstruction of images from very large data sets. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.70.056616
DOI:
10.1103/PhysRevE.70.056616
PACS:
42.30.Wb, 41.20.Jb, 42.62.Be
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