In this paper, we present a novel reconstruction method for diffuse optical
spectroscopic imaging with a commonly used tissue model of optical absorption
and scattering. It is based on linearization and group sparsity, which allows
recovering the diffusion coefficient and absorption coefficient simultaneously,
provided that their spectral profiles are incoherent and a sufficient number of
wavelengths are judiciously taken for the measurements. We also discuss the
reconstruction for imperfectly known boundary and show that with the
multi-wavelength data, the method can reduce the influence of modelling errors
and still recover the absorption coefficient. Extensive numerical experiments
are presented to support our analysis.Comment: 18 pages, 7 figure
