Mathematical Sciences: Faculty Presentations (1991-2022)

A Full Row-Rank Matrix from Strip-Based Projection Model

Document Type

Presentation

Presentation Date

10-2-2010

Copyright

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Abstract or Description

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.

Sponsorship/Conference/Institution

Fall Eastern Sectional Meeting of the American Mathematical Society (AMS)

Location

Syracuse, NY

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