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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 12 — Apr. 20, 2006
  • pp: 2828–2837

Dynamically adaptive mesh refinement technique for image reconstruction in optical tomography

Vadim Y. Soloviev and Lada V. Krasnosselskaia  »View Author Affiliations

Applied Optics, Vol. 45, Issue 12, pp. 2828-2837 (2006)

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A novel adaptive mesh technique is introduced for problems of image reconstruction in luminescence optical tomography. A dynamical adaptation of the three-dimensional scheme based on the finite-volume formulation reduces computational time and balances the ill-posed nature of the inverse problem. The arbitrary shape of the bounding surface is handled by an additional refinement of computational cells on the boundary. Dynamical shrinking of the search volume is introduced to improve computational performance and accuracy while locating the luminescence target. Light propagation in the medium is modeled by the telegraph equation, and the image-reconstruction algorithm is derived from the Fredholm integral equation of the first kind. Stability and computational efficiency of the introduced method are demonstrated for image reconstruction of one and two spherical luminescent objects embedded within a breastlike tissue phantom. Experimental measurements are simulated by the solution of the forward problem on a grid of 5 × 5 light guides attached to the surface of the phantom.

© 2006 Optical Society of America

OCIS Codes
(170.0170) Medical optics and biotechnology : Medical optics and biotechnology
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(290.0290) Scattering : Scattering
(290.7050) Scattering : Turbid media

Original Manuscript: August 11, 2005
Revised Manuscript: October 9, 2005
Manuscript Accepted: October 17, 2005

Virtual Issues
Vol. 1, Iss. 5 Virtual Journal for Biomedical Optics

Vadim Y. Soloviev and Lada V. Krasnosselskaia, "Dynamically adaptive mesh refinement technique for image reconstruction in optical tomography," Appl. Opt. 45, 2828-2837 (2006)

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