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17.1 Introduction
e inverse problem in optical tomography covers the topic of
image reconstruction in particular, or, slightly more generally,
the recovery from measured data of properties of a medium,
which may include shapes, volumes, dynamic features, and
others. In a typical experiment, a highly scattering medium is
illuminated by a narrowly collimated beam and the light that
propagates through the medium is collected by an array of
detectors. ere are many variants of this basic scenario. For
instance, the source may be pulsed or time-harmonic, coher-
ent or incoherent, and the illumination may be spatially struc-
tured ...