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

Jiehua Zhu

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

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

<div class="line" id="line-5"> Let Cu = k be an underdetermined linear system generated by the strip-based projection model in discrete tomography, where C is row-rank de&filig;cient. 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 speci&filig;ed 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.</div>

Original language	American English
State	Published - Oct 2 2010
Event	Fall Eastern Sectional Meeting of the American Mathematical Society (AMS) - Syracuse, NY Duration: Oct 2 2010 → …

Conference

Conference	Fall Eastern Sectional Meeting of the American Mathematical Society (AMS)
Period	10/2/10 → …

Keywords

Discrete tomography
Strip-based projection model
Underdetermined linear system

DC Disciplines

Mathematics

Cite this

@conference{0ea7abaa11dc447c982d7d2230e87b3f,

title = "A Full Row-Rank Matrix from Strip-Based Projection Model",

abstract = " Let Cu = k be an underdetermined linear system generated by the strip-based projection model in discrete tomography, where C is row-rank de&filig;cient. 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 speci&filig;ed 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 = "Discrete tomography, Strip-based projection model, Underdetermined linear system",

author = "Jiehua Zhu",

year = "2010",

month = oct,

day = "2",

language = "American English",

note = "Fall Eastern Sectional Meeting of the American Mathematical Society (AMS) ; Conference date: 02-10-2010",

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TY - CONF

T1 - A Full Row-Rank Matrix from Strip-Based Projection Model

AU - Zhu, Jiehua

PY - 2010/10/2

Y1 - 2010/10/2

N2 - Let Cu = k be an underdetermined linear system generated by the strip-based projection model in discrete tomography, where C is row-rank de&filig;cient. 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 speci&filig;ed 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.

AB - Let Cu = k be an underdetermined linear system generated by the strip-based projection model in discrete tomography, where C is row-rank de&filig;cient. 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 speci&filig;ed 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.

KW - Discrete tomography

KW - Strip-based projection model

KW - Underdetermined linear system

UR - http://www.ams.org/meetings/sectional/1062-92-263.pdf

M3 - Presentation

T2 - Fall Eastern Sectional Meeting of the American Mathematical Society (AMS)

Y2 - 2 October 2010

ER -

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

Abstract

Conference

Keywords

DC Disciplines

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