NDLI: A Forward Regridding Method With Minimal Oversampling for Accurate and Efficient Iterative Tomographic Algorithms

Content Provider	IEEE Xplore Digital Library
Author	Arcadu, F. Nilchian, M. Studer, A. Stampanoni, M. Marone, F.
Copyright Year	1992
Abstract	Reconstruction of underconstrained tomographic data sets remains a major challenge. Standard analytical techniques frequently lead to unsatisfactory results due to insufficient information. Several iterative algorithms, which can easily integrate a priori knowledge, have been developed to tackle this problem during the last few decades. Most of these iterative algorithms are based on an implementation of the Radon transform that acts as forward projector. This operator and its adjoint, the backprojector, are typically called few times per iteration and represent the computational bottleneck of the reconstruction process. Here, we present a Fourier-based forward projector, founded on the regridding method with minimal oversampling. We show that this implementation of the Radon transform significantly outperforms in efficiency other state-of-the-art operators with O(N²log₂N) complexity. Despite its reduced computational cost, this regridding method provides comparable accuracy to more sophisticated projectors and can, therefore, be exploited in iterative algorithms to substantially decrease the time required for the reconstruction of underconstrained tomographic data sets without loss in the quality of the results.
Sponsorship	IEEE Signal Processing Society
Starting Page	1207
Ending Page	1218
Page Count	12
File Size	5623952
File Format	PDF
ISSN	10577149
Volume Number	25
Issue Number	3
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2016-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Image reconstruction Tomography Iterative methods Interpolation Radon Transforms Kernel prolate-spheroidal wavefunctions iterative reconstruction algorithms Radon transform forward and backprojector regridding method minimal oversampling kaiser-bessel
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design Software

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