Three-dimensional image reconstruction using interferometric data from a limited field of view with noise

A reconstruction of phase objects using an algebraic reconstruction technique in an unconfined environment from multidirectional interferometric data is presented. The effect of noise on the data from the interference patterns is studied. It is shown that in the presence of noise the number of iterations need to be critically evaluated; otherwise the solution tends to diverge. Criteria used to quantify the noise are presented. Also shown is a relationship between noise and the required number of iterations, which yields the least error in reconstruction. This procedure is applied to experimentally obtained interferometric data.