1. A method for regularized phase retrieval in phase contrast imaging, comprising receiving differential phase contrast image data of an object (d i,j ); generating reconstructed image data of the object (g i,j ); and presenting reconstructed image data of the object (g i,j ); wherein the differential phase contrast image data and the reconstructed image data comprise a two-dimensional data structure having a first dimension (i) and a second dimension (j); wherein generating reconstructed image data comprises integration of image data in one of the first dimension (i) and the second dimension (i) of the data structure; wherein a gradient operator is determined in the other one of the first dimension (i) and the second dimension (j) of the data structure; and wherein the gradient operator is employed for reconstructing, image data.