Normalized-constraint method for minimizing inter-parameter crosstalk in reconstructed images of spatially heterogeneous scattering and absorption coefficients

In this report, we present a method to reduce the cross-talk problem in optical tomography. The method described is an extension of a previously reported perturbation formulation related to relative detector values, and employs a weight matrix scaling technique together with a constrained CGD method for imaging reconstruction. Results from numerical and experimental studies using DC measurement data demonstrate that the approach can effectively isolate absorption and scattering heterogeneities, even for complex combinations of perturbations in optical properties. The derived method is remarkably stable to errors originating from an insufficiently accurate estimate of properties of the reference medium.