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 repeatedly switching the measurement of light impinging on each of the photosensitive elements among the plurality of integrating storage sites according to a predetermined temporal switching pattern, wherein the predetermined temporal switching pattern is based upon identification of at least one of a plurality of candidate temporal switching patterns having a minimal residual error and condition number value; and c) an image extraction process that operates on the temporally decomposed representation of the moving image to extract the still image.