A Full Row-Rank System Matrix Generated by the Strip-Based Projection Model in Discrete Tomography

Jiehua Zhu, Xiezhang Li

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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 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.

Original languageAmerican English
JournalApplied Mathematics and Computation
Volume216
DOIs
StatePublished - Aug 15 2010

Disciplines

  • Education
  • Mathematics

Keywords

  • Full row-rank system
  • Strip-based projection

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