A note of reconstruction algorithm for the strip-based projection model in discrete tomography

Article type: Research Article

Authors: Li, Xiezhang | Zhu, Jiehua

Affiliations: Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA 30460, USA

Note: [] Corresponding author. Tel.: +1 91 24781475; Fax: +1 91 24780654; E-mail: xli@georgiasouthern.edu

Abstract: The line projection with a lattice of points and the strip projection with a lattice of cells are popularly used in modeling the raw detector reading in discrete tomography (DT). In the strip-based projection model for a 2D rectangular region, the projection equations are formulated according to the fractional areas of the intersection of each strip-shaped beam and the rectangular grid of an image. We propose, in this paper, a scheme to formulate a real system of linear equations for the strip-based projection model and to convert it into a binary linear system. Thus all the existing reconstruction algorithms for the line-based projection model in DT can be accordingly adapted. Numerical examples are given to illustrate our algorithm.

Keywords: Discrete tomography (DT), strip-based projection, matrix operations

Journal: Journal of X-Ray Science and Technology, vol. 16, no. 4, pp. 253-260, 2008