Linearized Reconstruction for Diffuse Optical Spectroscopic Imaging
This work addresses the challenging problem of simultaneous recovery of optical properties in diffuse optical imaging, offering a practical method for biomedical imaging applications.
The paper proposes a linearized reconstruction method for diffuse optical spectroscopic imaging that recovers both diffusion and absorption coefficients using group sparsity, achieving accurate recovery when spectral profiles are incoherent and sufficient wavelengths are used. Numerical experiments validate the approach.
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.