An x-ray diffraction imaging (XDI) system having a system axis includes at least one x-ray source configured to generate x-rays directed toward an object that includes at least one substance. The at least one x-ray source is further configured to irradiate at least one voxel defined within the object with x-rays arriving from a plurality of directions, each direction defined by an angle of incidence with respect to the system axis. The system also includes at least one detector configured to detect scattered x-rays after the x-rays have passed through the object. The system further includes at least one processor coupled to the at least one detector. The processor is programmed to generate a plurality of XDI profiles of the object voxel. Each XDI profile is a function of an associated angle of incidence.