Aspheric surfaces are measured using standard interferometers coupled with computer generated holograms (CGHs) that compensate the aspheric wavefronts. Such systems can measure complex aspheric shapes with accuracy of a few nanometers. However, the imaging properties of the interferometer-CGH combination can provide limitations for data mapping, resolution, and accuracy. These effects are explored, with an emphasis on the diffraction effects that are unique to interferometry.