Mathematical Sciences: Faculty Presentations (1991-2022)

The Linear Dependence of Rows in a System Matrix Generated by the Strip-Based Projection Model in CT

Document Type

Presentation

Presentation Date

10-26-2012

Copyright

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Abstract or Description

Let Cu = h be a linear system generated along two distinct scanning directions by the strip-based projection model in CT, where C is a binary row-rank deficient matrix. We identify the linearly dependent rows explicitly. The removal of these linearly dependent rows results in a full-rank matrix. Consequently, the computational cost for image reconstruction is reduced. An open problem will be given.

Sponsorship/Conference/Institution

Department of Mathematical Science, Georgia Southern University

Location

Statesboro, GA

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