Skip to main content
Presentation
A Full Row-Rank System Matrix Generated by the Strip-Based Projection Model in Discrete Tomography
American Mathematical Society Eastern Sectional Meeting (2010)
  • Jiehua Zhu
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.
Keywords
  • Underdetermined linear system,
  • Strip-based projection model,
  • Discrete tomography
Disciplines
Publication Date
October 2, 2010
Citation Information
Jiehua 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.
source:http://www.ams.org/meetings/sectional/1062-92-263.pdf