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1: IEEE Trans Med Imaging. 2006 May;25(5):582-9.Click here to read Links

Fourier-based forward and back-projectors in iterative fan-beam tomographic image reconstruction.

Zhang-O'Connor Y, Fessler JA.

Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI 48109-2122, USA. yzz@umich.edu

Fourier-based forward and back-projection methods can reduce computation in iterative tomographic image reconstruction. Recently, an optimized nonuniform fast Fourier transform (NUFFT) approach was shown to yield accurate parallel-beam projections. In this paper, we extend the NUFFT approach to describe an O (N2 log N) projector/backprojector pair for fan-beam transmission tomography. Simulations and experiments with real CT data show that fan-beam Fourier-based forward and back-projection methods can reduce computation for iterative reconstruction while still providing accuracy comparable to their O (N3) space-based counterparts.

PMID: 16689262 [PubMed - indexed for MEDLINE]