Numerical Reconstruction of Radiative Sources from Partial Boundary Measurements

We consider an inverse source problem in the stationary radiative transport through absorbing and scattering medium two dimensions. Using angularly resolved radiation measured on arc of boundary, we propose a numerical algorithm to recover convex hull this arc. The method involves unstable step inverting bounded operator whose range is not closed. show that continuity constant discretized grows at most linearly with discretization step, thus stabilizing problem. Numerical examples presented effectiveness proposed method.