Open AccessFast gridding projectors for analytical and iterative tomographic reconstruction of differential phase contrast data
Author(s) -
Filippo Arcadu,
Marco Stampai,
Federica Marone
Publication year - 2016
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.24.014748
Subject(s) - tomographic reconstruction , iterative reconstruction , computer science , optics , iterative method , contrast (vision) , image quality , phase contrast imaging , radon transform , tomography , inverse problem , phase retrieval , grating , phase (matter) , algorithm , fourier transform , computer vision , physics , mathematics , image (mathematics) , phase contrast microscopy , mathematical analysis , quantum mechanics
This paper introduces new gridding projectors designed to efficiently perform analytical and iterative tomographic reconstruction, when the forward model is represented by the derivative of the Radon transform. This inverse problem is tightly connected with an emerging X-ray tube- and synchrotron-based imaging technique: differential phase contrast based on a grating interferometer. This study shows, that the proposed projectors, compared to space-based implementations of the same operators, yield high quality analytical and iterative reconstructions, while improving the computational efficiency by few orders of magnitude.