Simultaneous algebraic reconstruction technique
Algorithm in computerised tomography
Simultaneous algebraic reconstruction technique (SART) is a computerized tomography (CT) imaging algorithm useful in cases when the projection data is limited; it was proposed by Anders Andersen and Avinash Kak in 1984.[1]
It generates a good reconstruction in just one iteration and it is superior to standard algebraic reconstruction technique (ART).
As a measure of its popularity, researchers have proposed various extensions to SART: OS-SART, FA-SART, VW-OS-SART,[2] SARTF, etc. Researchers have also studied how SART can best be implemented on different parallel processing architectures. SART and its proposed extensions are used in emission CT in nuclear medicine, dynamic CT,[3] and holographic tomography, and other reconstruction applications.[4] Convergence of the SART algorithm was theoretically established in 2004 by Jiang and Wang.[5] Further convergence analysis was done by Yan.[6]
An application of SART to ionosphere was presented by Hobiger et al.[7] Their method does not use matrix algebra and therefore it can be implemented in a low-level programming language. Its convergence speed is significantly higher than that of classical SART. A discrete version of SART called DART was developed by Batenburg and Sijbers.[8]
References[edit | edit source]
- ↑ , Simultaneous Algebraic Reconstruction Technique (SART): A Superior Implementation of ART, Ultrasonic Imaging, 1984, Vol. 6(Issue: 1), pp. 81–94, DOI: 10.1016/0161-7346(84)90008-7, PMID: 6548059,
- ↑ , Variable Weighted Ordered Subset Image Reconstruction Algorithm, International Journal of Biomedical Imaging, 2006, Vol. 2006, pp. 1–7, DOI: 10.1155/IJBI/2006/10398, PMID: 23165012, PMC: 2324020,
- ↑ , Space-time Tomography for Continuously Deforming Objects, ACM Transactions on Graphics, 2018, Vol. 37(Issue: 4), pp. 1–14, DOI: 10.1145/3197517.3201298,
- ↑ Byrne, C. A unified treatment of some iterative algorithms in signal processing and image reconstruction. Inverse Problems 20 103 (2004)
- ↑ , Convergence of the simultaneous algebraic reconstruction technique (SART), IEEE Transactions on Image Processing, 2003, Vol. 12(Issue: 8), pp. 957–961, DOI: 10.1109/tip.2003.815295, PMID: 18237969,
- ↑ ftp://ftp.math.ucla.edu/pub/camreport/cam10-27.pdf
- ↑ Abstract: EPS, Vol. 60 (No. 7), pp. 727-735 Full text, ,
- ↑ , DART: a practical reconstruction algorithm for discrete tomography, IEEE Transactions on Image Processing, 2011, Vol. 20(Issue: 9), pp. 2542–2553, DOI: 10.1109/tip.2011.2131661, PMID: 21435983,
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