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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 5 — May. 1, 2009
  • pp: 1277–1290

Information theoretic regularization in diffuse optical tomography

Christos Panagiotou, Sangeetha Somayajula, Adam P. Gibson, Martin Schweiger, Richard M. Leahy, and Simon R. Arridge  »View Author Affiliations


JOSA A, Vol. 26, Issue 5, pp. 1277-1290 (2009)
http://dx.doi.org/10.1364/JOSAA.26.001277


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Abstract

Diffuse optical tomography (DOT) retrieves the spatially distributed optical characteristics of a medium from external measurements. Recovering the parameters of interest involves solving a nonlinear and highly ill-posed inverse problem. This paper examines the possibility of regularizing DOT via the introduction of a priori information from alternative high-resolution anatomical modalities, using the information theory concepts of mutual information (MI) and joint entropy (JE). Such functionals evaluate the similarity between the reconstructed optical image and the prior image while bypassing the multimodality barrier manifested as the incommensurate relation between the gray value representations of corresponding anatomical features in the two modalities. By introducing structural information, we aim to improve the spatial resolution and quantitative accuracy of the solution. We provide a thorough explanation of the theory from an imaging perspective, accompanied by preliminary results using numerical simulations. In addition we compare the performance of MI and JE. Finally, we have adopted a method for fast marginal entropy evaluation and optimization by modifying the objective function and extending it to the JE case. We demonstrate its use on an image reconstruction framework and show significant computational savings.

© 2009 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.6960) Medical optics and biotechnology : Tomography

ToC Category:
Image Processing

History
Original Manuscript: November 12, 2008
Manuscript Accepted: February 9, 2009
Published: April 30, 2009

Virtual Issues
Vol. 4, Iss. 7 Virtual Journal for Biomedical Optics

Citation
Christos Panagiotou, Sangeetha Somayajula, Adam P. Gibson, Martin Schweiger, Richard M. Leahy, and Simon R. Arridge, "Information theoretic regularization in diffuse optical tomography," J. Opt. Soc. Am. A 26, 1277-1290 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-5-1277

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