1. A system for acquiring a still image from an input moving image, comprising: a) an imaging assembly including a plurality of pixels, each of the pixels comprising a photosensitive element and a plurality of integrating storage sites, each of the pixels being constructed and arranged to direct a measurement of light impinging on the photosensitive element to any one of the plurality of integrating storage sites; b) an image capture process that forms a temporally decomposed representation of the moving image in an exposure time interval by directing, according to a predetermined temporal switching pattern, the measurement of light impinging on each of the photosensitive elements among the plurality of integrating storage sites, such that the temporally decomposed image is formed with a temporally decomposed point-spread-function having an inverse transformation that is optimally well-conditioned; and c) an image extraction process that applies the inverse transformation of the temporally decomposed point-spread-function to the temporally decomposed image to form a motion-blur free digital image.