Mathematical Sciences: Faculty Presentations (1991-2022)

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

Document Type

Presentation

Presentation Date

1-1-2010

Copyright

This work is archived and distributed under the repository's Standard Copyright and Reuse License (opens in new tab). End users may copy, store, and distribute this work without restriction. For all other uses, permission must be obtained from the copyright owners or their authorized agents.

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 rows of C is studied. 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=g is equivalent to Cu=k and consequently, the cost of an image reconstruction from Fu=g is reduced. This is a joint work with Dr. Jiehua Zhu.

Sponsorship/Conference/Institution

Department of Mathematical Science, Georgia Southern University

Location

Statesboro, GA

This document is currently not available here.

Share

COinS