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Appl Opt. 2002 Feb 10;41(5):853-64.

Computational reconstruction of images from holograms.

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Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.


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.

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