A modified discrete algebraic reconstruction technique for multiple grey image reconstruction for limited angle range tomography. (22nd February 2016)

• Record Type: Journal Article
• Authors: Liang, Zhiting; Guan, Yong; Liu, Gang; Chen, Xiangyu; Li, Fahu; Guo, Pengfei; Tian, Yangchao
• Is Part Of: Journal of synchrotron radiation. Volume 23:Part 2(2016)
• Page Start: 606
• Page End: 616
• Publication Date: 2016-02-22
• Subjects: modified discrete algebraic reconstruction technique (MDART) -- multiple grey image -- image reconstruction -- limited‐angle range; Synchrotron radiation -- Periodicals; Free electron lasers -- Periodicals; 539.73505
• DOI: 10.1107/S1600577516000564
• Languages: English
• ISSNs: 0909-0495

Abstract

Abstract : A tomography reconstruction algorithm has been proposed, which can achieve high‐quality reconstructions of multiple grey phantoms from projection of a limited angle range and without prior knowledge of the grey values. Abstract : The `missing wedge', which is due to a restricted rotation range, is a major challenge for quantitative analysis of an object using tomography. With prior knowledge of the grey levels, the discrete algebraic reconstruction technique (DART) is able to reconstruct objects accurately with projections in a limited angle range. However, the quality of the reconstructions declines as the number of grey levels increases. In this paper, a modified DART (MDART) was proposed, in which each independent region of homogeneous material was chosen as a research object, instead of the grey values. The grey values of each discrete region were estimated according to the solution of the linear projection equations. The iterative process of boundary pixels updating and correcting the grey values of each region was executed alternately. Simulation experiments of binary phantoms as well as multiple grey phantoms show that MDART is capable of achieving high‐quality reconstructions with projections in a limited angle range. The interesting advancement of MDART is that neither prior knowledge of the grey values nor the number of grey levels is necessary.