Phase shifting techniques are often limited in digital photoelasticity by the quantity of acquisitions they require, and the process to perform them. This work simplifies such process by developing only a part of the acquisitions, and the rest are generated computationally. Our proposal was validated for a six-acquisition method by generating synthetic images from the analytical model of a disk under diametric compression. The results show that although our method uses less acquisitions, it is capable to recover the stress field with similar performance than conventional methods. This proposal could be useful for evaluating dynamic cases because the reduction of the exposure time expended during the acquisition stage.