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Analytical reconstruction methods in optical tomography with sampling and truncation of data

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Abstract

We derive an analytic inversion algorithm for diffusion tomography in the slab measurement geometry, which can be applied to sampled data and is a generalization of a previously suggested method [V.A. Markel, J.C. Schotland. PRE 64. R036501 (2001)]. The new method allows us to study the effects of sampling and truncation of data for large source/detector arrays. The ultimate limit of transverse resolution is obtained analytically. The results are verified with numerical simulations and stability of the reconstruction in the presence of noise is established.

© 2002 Optical Society of America

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