1. A method for multi-dimensional imaging of an object region, the method comprising the steps of: a) passing light through an object region to produce transmitted light rays; b) capturing the light rays by at least one optical element, each of said at least one optical element having a back focal plane; c) using at least one detector to capture a power spectrum of a two-dimensional Fourier transform, where the at least one detector is located in a back focal plane of the least one optical element; and d) repeating steps a)-c) for two or more viewpoints about an arc at least partially encircling the object region to obtain multiple two-dimensional Fourier transforms.