Mathematical Sciences: Faculty Publications
A Full Row-Rank System Matrix Generated by the Strip-Based Projection Model in Discrete Tomography
Document Type
Article
Publication Date
8-15-2010
Publication Title
Applied Mathematics and Computation
DOI
10.1016/j.amc.2010.04.073
ISSN
0096-3003
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
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/90
Copyright
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