Title | Cone beam cover method: An approach to performing backprojection in Katsevich's exact algorithm for spiral cone beam CT |
Authors | Yang, Jiansheng Kong, Qiang Zhou, Tie Jiang, Ming |
Affiliation | Peking Univ, Sch Math Sci, Dept Informat Sci, LMAM, Beijing 100871, Peoples R China. |
Keywords | Spiral cone beam CT (computerized tomography) Katsevich's inversion formula PI segment Tam-Danielsson window cone beam cover |
Issue Date | 2004 |
Publisher | journal of x ray science and technology |
Citation | JOURNAL OF X-RAY SCIENCE AND TECHNOLOGY.2004,12,(4),199-214. |
Abstract | The conventional implementation of Katsevich's inversion formula involves the computation of PI segment. This is done by solving a nonlinear equation with a numerical algorithm such as Newton's method. In this study, we develop an implementation of Katsevich's inversion formula without computing PI segment. Our implementation involves a new concept, cone beam cover, which is closely related to PI segment and Tam-Danielsson window. Unlike the implementation based on PI segment, the algorithm complexity of our implementation can be estimated with several important imaging parameters. This result may be instructive for practical applications to choose scanning parameters and reduce the algorithm complexity. The proposed implementation is validated with satisfactory numerical experiments. |
URI | http://hdl.handle.net/20.500.11897/315080 |
ISSN | 0895-3996 |
Indexed | SCI(E) EI |
Appears in Collections: | 数学科学学院 数学及其应用教育部重点实验室 |