Startseite
English
Erweiterte Suche
Durchblättern nach ...
Publikationen im Überblick
Ansprechpartner
Hilfe
DOI
 |
|
Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
The Radon transform on SO(3): A Fourier slice theorem and numerical inversion.
Inverse Probl. 24:25011 (2008)
The inversion of the one-dimensional Radon transform on the rotation group SO(3) is an ill-posed inverse problem which applies to x-ray tomography with polycrystalline materials. This paper presents a novel approach to the numerical inversion of the one-dimensional Radon transform on SO(3). Based on a Fourier slice theorem the discrete inverse Radon transform of a function sampled on the product space S-2 x S-2 of two two-dimensional spheres is determined as the solution of a minimization problem, which is iteratively solved using fast Fourier techniques for S-2 and SO(3). The favorable complexity and stability of the algorithm based on these techniques has been confirmed with numerical tests. (Preprint)
Altmetric
Weitere Metriken?
Zusatzinfos bearbeiten
[➜Einloggen]
Publikationstyp
Artikel: Journalartikel
Dokumenttyp
Wissenschaftlicher Artikel
Schlagwörter
sphere
ISSN (print) / ISBN
0266-5611
e-ISSN
1361-6420
Zeitschrift
Inverse Problems
Quellenangaben
Band: 24,
Heft: 2,
Artikelnummer: 25011
Verlag
Institute of Physics Publishing (IOP)
Nichtpatentliteratur
Publikationen
Begutachtungsstatus
Peer reviewed
Institut(e)
Institute of Biomathematics and Biometry (IBB)