Open AccessA modified discrete algebraic reconstruction technique for multiple grey image reconstruction for limited angle range tomography
Author(s) -
Liang Zhiting,
Guan Yong,
Liu Gang,
Chen Xiangyu,
Li Fahu,
Guo Pengfei,
Tian Yangchao
Publication year - 2016
Publication title -
journal of synchrotron radiation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.172
H-Index - 99
ISSN - 1600-5775
DOI - 10.1107/s1600577516000564
Subject(s) - range (aeronautics) , pixel , artificial intelligence , grey level , projection (relational algebra) , iterative reconstruction , computer science , boundary (topology) , mathematics , computer vision , wedge (geometry) , algebraic reconstruction technique , algorithm , geometry , mathematical analysis , materials science , composite material
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.