In one aspect, the amount of data needed to store image intensity data obtained from a scatterometer (100) such as a Parousiameter is reduced by varying a resolution with which the intensity data is used in different regions of a grid according to determined variations in the intensity. In another aspect, a scatterometer is provided with an aspherical mirror (170, 900, 1000) for imaging a test sample (180) to correct for distortions introduced by the off center placement of the mirror relative to the test sample. In another aspect, an optical surface inspection apparatus uses an auxiliary lens (1440) between a test surface (1420) and an illuminated patterned grid (1410) to project the patterned grid (1610) on the test surface. A camera (1450) is focused on the grid on the test surface as a real image.