Yes, compressed sensing cameras do exactly that. They reconstruct a photometrically correct image without the need for focusing optics or pixel arrays. They have limitations (not fundamental ones though) but they're useful for special use cases like X-ray or LWIR single-pixel imaging where focusing optics and pixel arrays are impossible or expensive. It was first used on X-ray telescopes in 1970's in the form of coded aperture, before the grazing incidence mirrors.
Comments
Yes, compressed sensing cameras do exactly that. They reconstruct a photometrically correct image without the need for focusing optics or pixel arrays. They have limitations (not fundamental ones though) but they're useful for special use cases like X-ray or LWIR single-pixel imaging where focusing optics and pixel arrays are impossible or expensive. It was first used on X-ray telescopes in 1970's in the form of coded aperture, before the grazing incidence mirrors.