title: Computational reconstruction of images from holograms.
abstract: The equations to reconstruct an image plane from a hologram are developed. This development is carried out for planes parallel to the hologram, which allows fast computation through the use of fast Fourier transforms. Algorithms for a digital computer are developed so images can be reconstructed, both with and without the Fresnel approximation, from a digitized hologram without the need for three-dimensional optical reconstruction equipment. Examples of holographically recorded images of marine micro-organisms are shown. A computational method for counting the number of micro-organisms in the holographically recorded volume is developed, and an example is provided.
authors.affiliation: Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA. jmilgram@mit.edu
authors.forename: Jerome H
authors.initials: JH
authors.lastname: Milgram
authors.forename: Weichang
authors.initials: W
authors.lastname: Li