Frequency domain simultaneous algebraic reconstruction techniques: algorithm and convergence

Jiong Wang; Yibin Zheng

doi:10.1117/12.597352

11 March 2005 Frequency domain simultaneous algebraic reconstruction techniques: algorithm and convergence

Jiong Wang, Yibin Zheng

Author Affiliations +

Proceedings Volume 5674, Computational Imaging III; (2005) https://doi.org/10.1117/12.597352
Event: Electronic Imaging 2005, 2005, San Jose, California, United States

Abstract

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.

Citation Download Citation

Jiong Wang and Yibin Zheng "Frequency domain simultaneous algebraic reconstruction techniques: algorithm and convergence", Proc. SPIE 5674, Computational Imaging III, (11 March 2005); https://doi.org/10.1117/12.597352

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