11 March 2005 Frequency domain simultaneous algebraic reconstruction techniques: algorithm and convergence
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We propose an algebraic reconstruction technique (ART) in the frequency domain for linear imaging problems. This algorithm has the advantage of efficiently incorporating pixel correlations in an a priori image model. First it is shown that the generalized ART algorithm converges to the minimum weighted norm solution, where the weights represent a priori knowledge of the image. Then an implementation in the frequency domain is described. The performance of the new algorithm is demonstrated with a fan beam computed tomography (CT) example. Compared to the traditional ART, the new algorithm offers superior image quality, fast convergence, and moderate complexity.
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Jiong Wang and Yibin Zheng "Frequency domain simultaneous algebraic reconstruction techniques: algorithm and convergence", Proc. SPIE 5674, Computational Imaging III, (11 March 2005); doi: 10.1117/12.597352; https://doi.org/10.1117/12.597352

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