#### Title

A Row-Rank System Matrix Generated by the Strip-Based Projection Model in Parallel-Beam Image Reconstruction

#### Document Type

Presentation

#### Publication Date

3-1-2011

#### Abstract

Let *Cu* = *k* be an underdetermined linear system generated by the strip-based projection model in parallel-beam image reconstruction, where C is row-rank deficient. In the case of one scanning direction, an index set *H* is specified such that a full row-rank matrix F, obtained by deleting rows of *C* with row index in *H*, contains the maximum linearly independent rows of *C*. Therefore, the corresponding system F u = h is equivalent to *Cu* =* k* and consequently, the cost of an image reconstruction from *F u* = *h* is reduced.

#### Sponsorship/Conference/Institution

Southeastern Sectional Meeting of the American Mathematical Society (AMS)

#### Location

Statesboro, GA

#### Recommended Citation

Li, Xiezhang.
2011.
"A Row-Rank System Matrix Generated by the Strip-Based Projection Model in Parallel-Beam Image Reconstruction."
*Mathematical Sciences Faculty Presentations*.
Presentation 317.

https://digitalcommons.georgiasouthern.edu/math-sci-facpres/317