Open AccessFast and noise‐tolerant determination of the center of rotation in tomography
Author(s) -
Vacek Everett,
Jacobsen Chris
Publication year - 2022
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/s1600577521012777
Subject(s) - rotation (mathematics) , tomographic reconstruction , fourier transform , noise (video) , tomography , projection (relational algebra) , algorithm , computer science , signal (programming language) , center (category theory) , instant centre of rotation , radon transform , computer vision , iterative reconstruction , artificial intelligence , mathematics , optics , physics , mathematical analysis , image (mathematics) , crystallography , programming language , chemistry
High‐quality tomographic reconstruction is not possible without the accurate localization of the center of rotation. Poor localization leads to artifacts in the data and can even cause reconstructions to fail. There are many approaches to solving this problem, some of which involve the collection of full sinograms, or even provisional tomographic reconstructions, in order to determine the center of rotation. Here, a simple method based on the expected symmetry of the Fourier transform of summed projections approximately 180° apart is presented; unlike cross‐correlation methods, it requires only a single Fourier transform to compute, and uses mainly low spatial frequency information which is less susceptible to noise. This approach is shown to be fast, and robust against poor signal‐to‐noise as well as to projection images acquired at angles that are not exactly 180° apart. This rapid method can be useful as a first step in the processing of tomographic data.