Open AccessGeneralized total variation iterative constraint strategy in limited angle optical diffraction tomography
Author(s) -
Wojciech Krauze,
P. Makowski,
Małgorzata Kujawińska,
Arkadiusz Kuś
Publication year - 2016
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.24.004924
Subject(s) - imaging phantom , iterative reconstruction , solver , optics , piecewise , conical surface , tomography , total variation denoising , computer science , algorithm , regularization (linguistics) , diffraction , iterative method , mathematics , mathematical optimization , physics , image (mathematics) , computer vision , artificial intelligence , mathematical analysis , geometry
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.