This document discusses the development of optical tomography methods using a discretized path integral approach. It outlines the motivation to develop an optical tomography method that can provide sharper results than diffusion optical tomography. It proposes using a path integral formulation to model light transport through a 2D layered material, with scattering modeled by a Gaussian phase function. The forward problem is formulated using a discretized path integral over all possible light paths. An inverse problem is constructed to estimate material properties by minimizing the difference between observed and calculated light intensities. The problem is posed as a constrained optimization that is solved using a log-barrier interior point approach. Numerical simulations are used to test the method on different materials.