Phantoms and discrete spatial and frequency methods for quantitatively measuring the alignment of radiographic imaging systems are described. One embodiment comprises phantoms for use in mechanically aligning radiographic imaging systems. These phantoms comprise: a radio-opaque material capable of holding a well-defined edge that allows quantitative image resolution measurements to be obtained thereof; wherein once the quantitative image resolution measurements are obtained, the spatial frequency response of the radiographic imaging system at a given focal plane can be calculated therefrom, thereby defining the mechanical alignment, resolution, and resolution uniformity of the radiographic imaging system. Systems and methods for mechanically aligning radiographic imaging systems, and methods for obtaining a quantitative measurement of the mechanical alignment, resolution and resolution uniformity of radiographic imaging systems, are also disclosed.