PuSH - Publikationsserver des Helmholtz Zentrums München

Dimensionality reduction of curvelet sparse regularizations in limited angle tomography.

Proc. Appl. Math. Mech. 11, 847-848 (2011)
DOI Verlagsversion bestellen
Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
We investigate the reconstruction problem for limited angle tomography. Such problems arise naturally in applications like digital breast tomosynthesis, dental tomography, etc. Since the acquired tomographic data is highly incomplete, the reconstruction problem is severely ill-posed and the traditional reconstruction methods, such as filtered backprojection (FBP), do not perform well in such situations. To stabilize the inversion we propose the use of a sparse regularization technique in combination with curvelets. We argue that this technique has the ability to preserve edges. As our main result, we present a characterization of the kernel of the limited angle Radon transform in terms of curvelets. Moreover, we characterize reconstructions which are obtained via curvelet sparse regularizations at a limited angular range. As a result, we show that the dimension of the limited angle problem can be significantly reduced in the curvelet domain.
Altmetric
Weitere Metriken?
Zusatzinfos bearbeiten [➜Einloggen]
Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Schlagwörter no keywords
e-ISSN 1617-7061
Quellenangaben Band: 11, Heft: , Seiten: 847-848 Artikelnummer: , Supplement: ,
Verlag Wiley
Verlagsort Weinheim
Begutachtungsstatus Peer reviewed