TY - JOUR
T1 - A Full Row-Rank System Matrix Generated by the Strip-Based Projection Model in Discrete Tomography
AU - Zhu, Jiehua
AU - Li, Xiezhang
PY - 2010/8/15
Y1 - 2010/8/15
N2 - 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 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 = over(k, ̃) is equivalent to Cu = k and consequently, the cost of an image reconstruction from F u = over(k, ̃) is reduced.
AB - 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 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 = over(k, ̃) is equivalent to Cu = k and consequently, the cost of an image reconstruction from F u = over(k, ̃) is reduced.
KW - Full row-rank system
KW - Strip-based projection
UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/90
UR - https://doi.org/10.1016/j.amc.2010.04.073
U2 - 10.1016/j.amc.2010.04.073
DO - 10.1016/j.amc.2010.04.073
M3 - Article
SN - 0096-3003
VL - 216
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
ER -