All-optical wavelet transform realization and use for imaging, image processing, and increased depth of focus

Zalevsky, Zeev; Rossmann, Eran; Mendlovic, David

doi:doi:10.1117/1.2769614

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Optical Engineering / Volume 46 / Issue 8 / Image Processing

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All-optical wavelet transform realization and use for imaging, image processing, and increased depth of focus

Opt. Eng. 46, 087001 (Aug 13, 2007); http://dx.doi.org/10.1117/1.2769614

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Abstract

References (24)

Zeev Zalevsky

Bar-Ilan University,School of Engineering, 52900 Ramat-Gan, Israel

Eran Rossmann and David Mendlovic

Tel-Aviv University,Faculty of Engineering, Department of Physical Electronics, 69978 Tel-Aviv, Israel

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.

History

Received May 28, 2006
Accepted Feb 06, 2007
Revised Jan 05, 2007
Published online Aug 13, 2007

Digital Object Identifier

http://dx.doi.org/10.1117/1.2769614

Citation

Zeev Zalevsky, Eran Rossmann and David Mendlovic, "All-optical wavelet transform realization and use for imaging, image processing, and increased depth of focus", Opt. Eng. 46, 087001 (Aug 13, 2007); http://dx.doi.org/10.1117/1.2769614