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Computational wavelength resolution for in-line lensless holography: Phase-coded diffraction patterns and wavefront group-sparsity

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review


Original languageEnglish
Title of host publicationDigital Optical Technologies 2017
ISBN (Electronic)9781510611153
Publication statusPublished - 2017
Publication typeA4 Article in a conference publication
EventDigital optical technologies -
Duration: 1 Jan 2000 → …

Publication series

NameProceedings of SPIE
ISSN (Print)0277-786X


ConferenceDigital optical technologies
Period1/01/00 → …


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.


  • Discrete optical signal processing, Image processing, Noise in imaging systems, Phase retrieval, Superresolution

Publication forum classification

Field of science, Statistics Finland