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

Yingying Zhang-O'Connor1, Jeffrey A Fessler

  • 1Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI 48109-2122, USA. yzz@umich.edu

IEEE Transactions on Medical Imaging
|May 13, 2006
PubMed

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Fast Fourier Transform01:10

Fast Fourier Transform

The Fast Fourier Transform (FFT) is a computational algorithm designed to compute the Discrete Fourier Transform (DFT) efficiently. By breaking down the calculations into smaller, manageable sections, the FFT significantly reduces the computational complexity involved. Direct computation of an N-point DFT requires N2 complex multiplications, whereas the FFT algorithm needs only (N/2)log⁡2N multiplications, offering a much faster performance.
The computational efficiency of the FFT becomes...