The Role of Discretization in x-Ray CT Reconstruction
M. McCann, M. Unser
SIAM Conference on Imaging Science (IS'18), Bologna, Italian Republic, June 5-8, 2018, session MS47-2.
Discretization—representing a continuous-time function or operation with a discrete-time one—is unavoidable in solving inverse problems. In X-ray computed tomography (CT) reconstruction, the classical algorithm handles discretization "at the end". Modern approaches discretize "in the middle" or "at the beginning". In this talk, I will show how the latter provides algorithms that are mathematically rigorous and implementable. I will also discuss the choice of the basis function among pixels, B-splines, box splines, Kaiser-Bessel windows, and sincs.
@INPROCEEDINGS(http://bigwww.epfl.ch/publications/mccann1801.html,
AUTHOR="McCann, M. and Unser, M.",
TITLE="The Role of Discretization in {x}-Ray {CT} Reconstruction",
BOOKTITLE="{SIAM} Conference on Imaging Science ({IS'18})",
YEAR="2018",
editor="",
volume="",
series="",
pages="",
address="Bologna, Italian Republic",
month="June 5-8,",
organization="",
publisher="",
note="session MS47-2")
© 2018 SIAM. Personal use of this material is permitted. However, permission to
reprint/republish this material for advertising or promotional purposes or for creating
new collective works for resale or redistribution to servers or lists, or to reuse any
copyrighted component of this work in other works must be obtained from SIAM.
This material is presented to ensure timely dissemination of scholarly and technical work.
Copyright and all rights therein are retained by authors or by other copyright holders.
All persons copying this information are expected to adhere to the terms and constraints
invoked by each author's copyright. In most cases, these works may not be reposted without
the explicit permission of the copyright holder.