The present invention enables snap-shot spectral imaging of a scene at high image generation rates. Light from the scene is processed through an optical system that comprises a coded-aperture. The optical system projects a plurality of images, each characterized by only one of a plurality of spectral components, onto a photodetector array. The plurality of images is interspersed on the photodetector array, but no photodetector receives light characterized by more than one of the plurality of spectral components. As a result, computation of the spatio-spectral datacube that describes the scene is simplified. The present invention, therefore, enables rapid spectral imaging of the scene.