Algebraic Reconstruction Techniques and Improvement Studied with Spectroscopy
SONG Yi-zhong1,2,WEI Ben-zheng3,ZHAO Zhi-min1
1. School of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China 2. Department of Physics, Dezhou University, Dezhou 253000, China 3. Institute of Science and Technology, Shandong University of Traditional Chinese Medicine, Ji’nan 250014, China
Abstract：The present article focuses on improving algebraic reconstruction technique(ART) for optical computerized tomography (OCT). With spectroscopy, a series of traditional ARTs were analyzed in detail, then a new improved ART was developed. The new ART was named simple self-correlative algebraic reconstruction technique(SSART). With numerical simulation technique, SSART reconstructing efficiency was demonstrated by reconstructing a simulated field with an opaque object. The simulation result and reconstructing accuracy were analyzed. Many current representative ARTs were studied in order to compare the reconstructing efficiency of the new ART with that of others. These ARTs included basic algebraic reconstruction technique：ART, simultaneous algebraic reconstruction technique：SART, and modified SART：MSART. Each of those was used for reconstructing the same simulated field as that SSART was used to reconstructing. The reconstruction results under the same condition were compared with each other. Reconstruction accuracy of each ART was weighed with three error indexes, mean-square error(MSE) , absolute value error(AVE), and peak error(PE). As the results, each error index of the reconstruction result with SSART declined a lot. The MSE of SSART was decreased about 26.6% compared to that of ART at the level of 10-4 magnitude, and PE 77.6% at the level of 10-2 magnitude. As far as the field with an opaque object is concerned, SSART improves the reconstruction result much, and increases the reconstruction accuracy a lot. SSART improves ARTs greatly.
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