New relationship between the divergent beam projection and the Radon transform

Article type: Research Article

Authors: Wei, Yuchuan | Wang, Ge^;

Affiliations: Biomedical Imaging Division, VT-WFU School of Biomedical Engineering and Science, Wake Forest University, Winston-Salem, NC, USA | Biomedical Imaging Division, VT-WFU School of Biomedical Engineering and Science, Virginia Tech, Blacksburg, VA, USA

Note: [] Corresponding author. E-mail: yuchuanwei@gmail.com

Abstract: In this paper, we present some new relationship between the divergent beam projection and the Radon transform. An application of our results is to implement the Radon inversion from divergent beam projection.

Keywords: CT, Generalized function, homogeneous function, Radon formula, Grangeat formula, divergent beam, data consistency

DOI: 10.3233/XST-2011-0302

Journal: Journal of X-Ray Science and Technology, vol. 19, no. 3, pp. 385-401, 2011