Generalized total variation iterative constraint strategy in limited angle optical diffraction tomography

Wojciech Krauze , Piotr Makowski , Małgorzata Kujawińska , Arkadiusz Kuś

Abstract

Due to incompleteness of input data inherent to Limited Angle Tomography (LAT), specific additional constraints are usually employed to suppress image artifacts. In this work we demonstrate a new two-stage regularization strategy, named Generalized Total Variation Iterative Constraint (GTVIC), dedicated to semi-piecewise-constant objects. It has been successfully applied as a supplementary module for two different reconstruction algorithms: an X-ray type solver and a diffraction-wise solver. Numerical tests performed on a detailed phantom of a biological cell under conical illumination pattern show significant reduction of axial blurring in the reconstructed refractive index distribution after GTVIC is added. Analogous results were obtained with experimental data.
Author Wojciech Krauze IMiF
Wojciech Krauze,,
- The Institute of Micromechanics and Photonics
, Piotr Makowski IMiF
Piotr Makowski,,
- The Institute of Micromechanics and Photonics
, Małgorzata Kujawińska IMiF
Małgorzata Kujawińska,,
- The Institute of Micromechanics and Photonics
, Arkadiusz Kuś IMiF
Arkadiusz Kuś,,
- The Institute of Micromechanics and Photonics
Journal seriesOptics Express, ISSN 1094-4087 []
Issue year2016
Vol24
No5
Pages4924-4936
Publication size in sheets0.6
Keywords in Polishproblem odwrotny, rekonstrukcja, wahanie funkcji, rzadkie próbkowanie, tomografia optyczna, tomografia ograniczonego kąta projekcji, analiza komórek biologicznych
Keywords in Englishinverse problems, reconstruction algorithm, total variation, compressed sensing, optical tomography, limited angle tomography, biological cell investigation
Abstract in Polish
DOIDOI:10.1364/OE.24.004924
URL https://www.osapublishing.org/oe/abstract.cfm?uri=oe-24-5-4924
Languageen angielski
Score (nominal)45
ScoreMinisterial score = 40.0, 28-11-2017, ArticleFromJournal
Ministerial score (2013-2016) = 45.0, 28-11-2017, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 3.307 (2) - 2016=3.436 (5)
Citation count*17 (2018-06-22)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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