An imaging device uses a grating to produce an interference pattern for capture by a photodetector array. Digital photographs and other image information can then be extracted from the pattern. An integrated processor locally supports this extraction by upsampling the captured interference pattern and deconvolving the upsampled pattern with an image-calculation parameter set that represents the grating at a resolution greater than that provided by the photodetector array. Deconvolving the upsampled pattern with a high-resolution parameter increases the resolution of extracted image information.