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Computational wavelength resolution for in-line lensless holography: phase-coded diffraction patterns and wavefront group-sparsity
Author(s): Vladimir Katkovnik; Igor Shevkunov; Nikolay V. Petrov; Karen Egiazarian
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Paper Abstract

In-line lensless holography is considered with a random phase modulation at the object plane. The forward wavefront propagation is modelled using the Fourier transform with the angular spectrum transfer function. The multiple intensities (holograms) recorded by the sensor are random due to the random phase modulation and noisy with Poissonian noise distribution. It is shown by computational experiments that high-accuracy reconstructions can be achieved with resolution going up to the two thirds of the wavelength. With respect to the sensor pixel size it is a super-resolution with a factor of 32. The algorithm designed for optimal superresolution phase/amplitude reconstruction from Poissonian data is based on the general methodology developed for phase retrieval with a pixel-wise resolution in V. Katkovnik, ”Phase retrieval from noisy data based on sparse approximation of object phase and amplitude”, http://www.cs.tut.fi/~lasip/DDT/index3.html.

Paper Details

Date Published: 26 June 2017
PDF: 12 pages
Proc. SPIE 10335, Digital Optical Technologies 2017, 1033509 (26 June 2017); doi: 10.1117/12.2269327
Show Author Affiliations
Vladimir Katkovnik, Tampere Univ. of Technology (Finland)
Igor Shevkunov, Tampere Univ. of Technology (Finland)
ITMO Univ. (Russian Federation)
Nikolay V. Petrov, ITMO Univ. (Russian Federation)
Karen Egiazarian, Tampere Univ. of Technology (Finland)


Published in SPIE Proceedings Vol. 10335:
Digital Optical Technologies 2017
Bernard C. Kress; Wolfgang Osten; H. Paul Urbach, Editor(s)

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