#### Title

A Full Row-Rank System Matrix Generated by the Strip-Based Projection Model in Discrete Tomography

#### Document Type

Article

#### Publication Date

2010

#### Publication Title

Applied Mathematics and Computation

#### DOI

10.1016/j.amc.2010.04.073

#### Abstract

Let *C ***u** = **k** be an underdetermined linear system generated by the strip-based projection model in discrete tomography, where *C * is row-rank deficient. In the case of one scanning direction the linear dependency of the rows of *C * is studied in this paper. An index set *H * is specified such that if all rows of *C * with row indices in *H * are deleted then the rows of resultant matrix *F * are maximum linearly independent rows of *C *. Therefore, the corresponding system F u= k is equivalent to *C ***u** = **k** and consequently, the cost of an image reconstruction from F u= k is reduced.

#### Recommended Citation

Zhu, Jiehua, Xiezhang Li.
2010.
"A Full Row-Rank System Matrix Generated by the Strip-Based Projection Model in Discrete Tomography."
*Applied Mathematics and Computation*, 216 (12): 3536-3540.
doi: 10.1016/j.amc.2010.04.073

http://digitalcommons.georgiasouthern.edu/math-sci-facpubs/90