1. A system for reconstructing a space-time volume from a coded image, comprising: an image sensor comprising a plurality of pixels formed into an array; and at least one processor programmed to: instruct the image sensor to capture multiple exposure periods for different pixels in the array in accordance with a coded shutter function to produce a single coded image; and reconstruct a space-time volume from the single coded image, wherein reconstructing the space-time volume comprises: performing, for each pixel location in the single coded image, a reconstruction process on a patch of pixels forming a neighborhood around the pixel location to produce a set of spatially-overlapping space-time volume patches, wherein each space-time volume patch in the set corresponds to a different pixel location in the single encoded image; and averaging space-time-volume patches in the set that are spatially-overlapping to reconstruct the space-time volume for the single coded image.