Object reconstruction from photon-limited centroided data of randomly translating images.
Centroiding is investigated as a simple and computationally fast technique of object reconstruction, at low light level, from randomly translating images. A relationship between the spectrum of the average N-photon centroided frame and the object spectrum is presented as well as an algorithm for retrieving the phase in the case of one-dimensional objects. Computer-simulated data are used to test the relationship and the reconstruction algorithm.