1. A method of computer aided imaging, comprising: obtaining at a detector array intensity data indicative of intensity of radiation propagated through an image volume in a plurality of projection angles through the image volume, and indicative of the radiation intensity subsequent to having propagated at a plurality of distances after having propagated through the image volume; using a phase retrieval method to determine a phase of the radiation at a first boundary immediately adjacent to the image volume for each of the plurality of projection angles; and reconstructing an image of a real part of an index of refraction of the image volume using an iterative reconstruction algorithm, including performing an affine projection of an image vector onto an radon-transform affine space determined by the plurality of random transforms corresponding to the radiation propagated through the image volume and the respective intensity data, and the image vector is an approximation of the image of the real part of the index of refraction of the image volume.