Affiliations: School of Science, North University of China, Taiyuan,
Shanxi, China | National Key Laboratory for Electronic Measurement
Technology, North University of China, Taiyuan, Shanxi, China | Department of Electrical and Computer Engineering,
University of Massachusetts Lowell, Lowell, MA, USA
Note: [] Corresponding author: Hengyong Yu, Department of Electrical and
Computer Engineering, University of Massachusetts Lowell, Lowell, MA 01854,
USA. E-mail: hengyong-yu@ieee.org
Abstract: To develop low-cost and low-dose computed tomography (CT) scanners
for developing countries, recently a parallel translational computed tomography
(PTCT) is proposed, and the source and detector are translated oppositely with
respect to the imaging object without a slip-ring. In this paper, we develop an
analytic filtered-backprojection (FBP)-type reconstruction algorithm for two
dimensional (2D) fan-beam PTCT and extend it to three dimensional (3D)
cone-beam geometry in a Feldkamp-type framework. Particularly, a weighting
function is constructed to deal with data redundancy for multiple translations
PTCT to eliminate image artifacts. Extensive numerical simulations are
performed to validate and evaluate the proposed analytic reconstruction
algorithms, and the results confirm their correctness and merits.
