A new voxellation scheme for iterative CBCT reconstruction with less computational cost: Polar voxel design of an isosceles-triangle shape

作     者：Lee, Minsik Cho, Hyosung Hong, Daeki Je, Uikyu Park, Yeonok Park, Chulkyu Cho, Heemoon Choi, Sungil Koo, Yangseo 

作者机构：Yonsei Univ Dept Radiol Sci Wonju 220710 South Korea Yonsei Univ VYS Res Ctr Wonju 220710 South Korea 

出 版 物：《JOURNAL OF THE KOREAN PHYSICAL SOCIETY》 (韩国物理学会志)

年 卷 期：2014年第65卷第7期

页      面：1128-1133页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

基　　金：Basic Atomic Energy Research Institute (BAERI) program of the Ministry of Science and Technology (MOST) [NRF-2014-0018617] 

主　　题：Polar coordinate Isosceles triangle System matrix Iterative algorithm 

摘      要：We propose a new voxellation scheme for iterative cone-beam computed tomography (CBCT) reconstruction with less computational cost. Here, the voxel configuration is designed with an isosceles-triangle shape by using polar coordinates, exploiting the rotational symmetries inherent to the CBCT acquisition geometry and keeping the uniformity of the voxel size as well. By using polar symmetries, we can reduce the size of the system matrix by a factor corresponding to the number of acquired projections, which speeds up the construction of the system matrix and, thus, allows iterative methods to be applied to practical applications within a reasonable reconstruction time. In this study, we implemented an efficient algorithm to reconstruct the system matrix based upon the proposed voxellation scheme and incorporated it into a built-in iterative CBCT reconstruction algorithm based the gradient-projection Barzilai-Borwein (GPBB) method, and we performed systematic simulation works to investigate the imaging characteristics. Our results indicate that the voxellation scheme we proposed in study seems to be effective in reducing the computational time and the memory burden considerably.