A Full Row-Rank System Matrix Generated by the Strip-Based Projection Model in Discrete TomographyAmerican Mathematical Society Eastern Sectional Meeting (2010)
AbstractLet 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.
- Underdetermined linear system,
- Strip-based projection model,
- Discrete tomography
Publication DateOctober 2, 2010
Citation InformationJiehua Zhu. "A Full Row-Rank System Matrix Generated by the Strip-Based Projection Model in Discrete Tomography" American Mathematical Society Eastern Sectional Meeting. Syracuse, NY. Oct. 2010.