#### Title

A Full Row-Rank Matrix from Strip-Based Projection Model

#### Document Type

Presentation

#### Publication Date

10-2-2010

#### 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 row 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 Fu = ke is equivalent to Cu = k and consequently, the cost of an image reconstruction from Fu = ke is reduced.

#### Sponsorship/Conference/Institution

Fall Eastern Sectional Meeting of the American Mathematical Society (AMS)

#### Location

Syracuse, NY

#### Recommended Citation

Zhu, Jiehua.
2010.
"A Full Row-Rank Matrix from Strip-Based Projection Model."
*Mathematical Sciences Faculty Presentations*.
Presentation 561.

https://digitalcommons.georgiasouthern.edu/math-sci-facpres/561