Paper Info
Title
Iterative tomographic image reconstruction using Fourier-based forward and back-projectors.
Abstract
Iterative image reconstruction algorithms play an increasingly important role in modern tomographic systems, especially in emission tomography. With the fast increase of the sizes of the tomographic data, reduction of the computation demands of the reconstruction algorithms is of great importance. Fourier-based forward and back-projection methods have the potential to considerably reduce the computation time in iterative reconstruction. Additional substantial speed-up of those approaches can be obtained utilizing powerful and cheap off-the-shelf fast Fourier transform (FFT) processing hardware. The Fourier reconstruction approaches are based on the relationship between the Fourier transform of the image and Fourier transformation of the parallel-ray projections. The critical two steps are the estimations of the samples of the projection transform, on the central section through the origin of Fourier space, from the samples of the transform of the image, and vice versa for back-projection. Interpolation errors are a limitation of Fourier-based reconstruction methods. We have applied min-max optimized Kaiser-Bessel interpolation within the nonuniform FFT (NUFFT) framework and devised ways of incorporation of resolution models into the Fourier-based iterative approaches. Numerical and computer simulation results show that the min-max NUFFT approach provides substantially lower approximation errors in tomographic forward and back-projection than conventional interpolation methods. Our studies have further confirmed that Fourier-based projectors using the NUFFT approach provide accurate approximations to their space-based counterparts but with about ten times faster computation, and that they are viable candidates for fast iterative image reconstruction.
Year
DOI
Venue
2004
10.1109/TMI.2004.824233
IEEE Trans. Med. Imaging
Keywords
Field
DocType
fast fourier transforms,image reconstruction,interpolation,iterative methods
Iterative reconstruction,Computer vision,Harmonic wavelet transform,Mathematical optimization,Cyclotomic fast Fourier transform,Prime-factor FFT algorithm,Fourier transform,Artificial intelligence,Discrete Fourier transform,Mathematics,Phase correlation,Pseudo-spectral method
Journal
Volume
Issue
ISSN
23
4
0278-0062
Citations 
PageRank 
References 
10
0.81
11
Authors
3
Name
Order
Citations
PageRank
Samuel Matej1589.05
J. A. Fessler21743229.34
Ivan G Kazantsev3686.63