Open AccessGeneralized Titarenko's algorithm for ring artefacts reduction
Author(s) -
Miqueles E. X.,
Rinkel J.,
O'Dowd F.,
Bermúdez J. S. V.
Publication year - 2014
Publication title -
journal of synchrotron radiation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.172
H-Index - 99
ISSN - 1600-5775
DOI - 10.1107/s1600577514016919
Subject(s) - reduction (mathematics) , algorithm , generalization , ring (chemistry) , conjugate gradient method , computer science , resolution (logic) , mathematics , artificial intelligence , mathematical analysis , geometry , chemistry , organic chemistry
A fast algorithm for ring artefact reduction in high‐resolution micro‐tomography with synchrotron radiation is presented. The new method is a generalization of the one proposed by Titarenko and collaborators, with a complete sinogram restoration prior to reconstruction with classical algorithms. The generalized algorithm can be performed in linear time and is easy to implement. Compared with the original approach, with an explicit solution, this approach is fast through the use of the conjugate gradient method. Also, low/high‐resolution sinograms can be restored using higher/lower‐order derivatives of the projections. Using different order for the derivative is an advantage over the classical Titarenko's approach. Several numerical results using the proposed method are provided, supporting our claims.