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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 16, Iss. 6 — Jun. 1, 1999
  • pp: 1254–1265

Backpropagation in turbid media

Charles L. Matson and Hanli Liu  »View Author Affiliations

JOSA A, Vol. 16, Issue 6, pp. 1254-1265 (1999)

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We extend the backpropagation algorithm of standard diffraction tomography to backpropagation in turbid media. We analyze the behavior of the backpropagation algorithm both for a single-view geometry, as is common in mammography, and for multiple views. The most general form of the algorithm permits arbitrary placement of sources and detectors in the background medium. In addition, we specialize the algorithm for the case of a planar array of detectors, which permits the backpropagation algorithm to be implemented with fast-Fourier-domain noniterative algebraic methods. In this case the algorithm can be used to reconstruct three-dimensional images in a minute or less, depending on the number of views. We demonstrate the theoretical results with computer simulations.

© 1999 Optical Society of America

OCIS Codes
(100.6950) Image processing : Tomographic image processing
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.5280) Medical optics and biotechnology : Photon migration
(170.6960) Medical optics and biotechnology : Tomography

Original Manuscript: October 22, 1998
Revised Manuscript: February 16, 1999
Manuscript Accepted: February 19, 1999
Published: June 1, 1999

Charles L. Matson and Hanli Liu, "Backpropagation in turbid media," J. Opt. Soc. Am. A 16, 1254-1265 (1999)

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