One aspect of the invention provides a spatially-selective disk including a plurality of holes arranged such that a matrix having a plurality of rows, each row having elements corresponding to a fraction of a pixel in a viewing window projected onto the disk that is backed by a hole at a distinct rotational position of the disk, has linearly independent rows. Another aspect of the invention provides a spectrometry device including: a disk having one or more holes; a motor configured to rotate the disk; one or more beam-shaping optics arranged to map one or more spectral components of radiation of interest onto a plurality of locations on the disk; and a receiver positioned to capture the one or more spectral components passing through the one or more holes as the disk is rotated.