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Optical Engineering

All-optical wavelet transform realization and use for imaging, image processing, and increased depth of focus
Author(s): Zeev Zalevsky; Eran Rossmann; David Mendlovic
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Paper Abstract

We realize optical wavelet transforms by two methods. In the first, we image an object through an array of lenses having various diameters. This results in images of the object at different resolutions (according to the imaging lens). We show that a weighted combination of these images may realize the wavelet transform coefficients. In the second method we use the fact that defocus aberrations affect the resolution of the image. Imaging an object in high resolution (with a large-diameter lens) while focusing on different planes enables us to perform a wavelet transformation when the object is two-dimensional. After realizing the wavelet transform optically, we show how the suggested optical configurations can be used for image processing, for compression, and for extending the depth of focus of the imaged object. All required processing operations have very low computational complexity.

Paper Details

Date Published: 1 August 2007
PDF: 14 pages
Opt. Eng. 46(8) 087001 doi: 10.1117/1.2769614
Published in: Optical Engineering Volume 46, Issue 8
Show Author Affiliations
Zeev Zalevsky, Bar-Ilan Univ. (Israel)
Eran Rossmann, Tel-Aviv Univ. (Israel)
David Mendlovic, Tel Aviv Univ. (Israel)

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