A novel algorithm based on the principles of diffuse optics to reconstruct the location of optical properties in human tissue

Abstract

In this thesis, we address the problem of reconstructing the optical properties of human tissue from the measured scattered light at the boundary. The conventional methods make the use of Born approximation due to the inherent nonlinear nature of the above-said problem. This involves the inversion of the so-called Jacobian matrix which is always ill-conditioned. Here, we propose a novel algorithm based on the product of several Jacobians corresponding to several measurements which will eventually tell us the location of the optical property without any matrix inversion. In addition, we are also able to recover the value of the optical property along with the location for specific cases. We compare our method against the well-known Tikhonov regularized Born approximation solutions for both simulations and experimental studies.