1. One or more computer-readable storage devices storing instructions that, when executed by a processor, cause the processor to perform acts comprising: illuminating a portion of a scene with different interleaved lighting states, wherein each of a plurality of the different interleaved lighting states illuminates the portion of the scene a plurality of times, and wherein a same portion of the scene is illuminated by each of the plurality of the different interleaved lighting states; collecting data from the scene with an image sensor comprising a plurality of pixels, the data corresponding to each of the different interleaved lighting states; reconstructing a time-varying signal from the data using a reconstruction filter, the reconstructing based at least in part on data collected from a plurality of times during which the scene is illuminated with a particular interleaved lighting state; and generating, based at least in part upon the reconstructed time-varying signal, an output image of the scene including motion blur for each of the plurality of different interleaved lighting states.