Inverse methods for optical tomography

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Abstract

We describe the main theoretical principles behind Time-resolved Optical Absorption and Scattering Tomography (TOAST). The problem is viewed as the optimisation of an error-norm derived from correlated statistics of the time-dependent photon intensity at the surface of an object. The field is compared with Electrical Impedance Tomography (EIT). Some inverse algorithms are suggested and one implemented in detail: a modified Newton-Raphson approach. Several regularisation schemes are described. Results are given for these schemes applied to several different data sets.

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Arridge, S. R., & Schweiger, M. (1993). Inverse methods for optical tomography. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 687 LNCS, pp. 259–277). Springer Verlag. https://doi.org/10.1007/bfb0013793

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