Method and apparatus for a fast (low F/number) computational camera that incorporates two arrays of lenses. The arrays include a lenslet array in front of a photosensor and an objective lens array of two or more lenses. Each lens in the objective lens array captures light from a subject. Each lenslet in the lenslet array captures light from each objective lens and separates the captured light to project microimages corresponding to the objective lenses on a region of the photosensor under the lenslet. Thus, a plurality of microimages are projected onto and captured by the photosensor. The captured microimages may be processed in accordance with the geometry of the objective lenses to align the microimages to generate a final image. One or more other algorithms may be applied to the image data in accordance with radiance information captured by the camera, such as automatic refocusing of an out-of-focus image.