New Fourier reconstruction algorithms for computerized tomography

Daniel Potts; Gabriele Steidl

doi:10.1117/12.408606

4 December 2000 New Fourier reconstruction algorithms for computerized tomography

Daniel Potts, Gabriele Steidl

Proceedings Volume 4119, Wavelet Applications in Signal and Image Processing VIII; (2000) https://doi.org/10.1117/12.408606
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

Abstract

In this paper we propose two new algorithms for high quality Fourier reconstructions of digital N by N images from their Radon transform. Both algorithms are based on fast Fourier transforms for nonequispaced data (NFFT) and require only O(N² log N) arithmetic operations. While the first algorithm includes a bivariate NFFT on the polar grid, the second algorithm consists of several univariate NFFTs on the so-called linogram.

Citation Download Citation

Daniel Potts and Gabriele Steidl "New Fourier reconstruction algorithms for computerized tomography", Proc. SPIE 4119, Wavelet Applications in Signal and Image Processing VIII, (4 December 2000); https://doi.org/10.1117/12.408606

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