#### Title

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

#### Document Type

Presentation

#### Publication Date

1-1-2010

#### Abstract

Let Cu=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. 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 Fu=g is equivalent to Cu=k and consequently, the cost of an image reconstruction from Fu=g is reduced. This is a joint work with Dr. Jiehua Zhu.

#### Sponsorship/Conference/Institution

Department of Mathematical Science, Georgia Southern University

#### Location

Statesboro, GA

#### Recommended Citation

Li, Xiezhang, Jiehua Zhu.
2010.
"A Full Row-Rank System Matrix Generated by the Strip-Based Projection Model in Discrete Tomography."
*Mathematical Sciences Faculty Presentations*.
Presentation 316.

https://digitalcommons.georgiasouthern.edu/math-sci-facpres/316