Finding Redundant Rows in Two-Direction Generated Matrix in DT

Hua Wang

Finding Redundant Rows in Two-Direction Generated Matrix in DT

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

Discrete tomography deals with the reconstruction of an image from the projections in a few directions. Mathematically, one solves a system of projection equations. The strip–based projection generates matrices with known rank less than the number of equations. We present ways to identify the dependent rows in such matrices, the removal of which result in a full row-rank system.

Original language	American English
State	Published - Sep 30 2011
Event	Southeastern and Atlantic Regional Conference on Differential Equations (SEARCDE) - Statesboro, GA Duration: Sep 30 2011 → …

Conference

Conference	Southeastern and Atlantic Regional Conference on Differential Equations (SEARCDE)
Period	09/30/11 → …

Keywords

DT
Redundant rows
Two-direction generated matrix

DC Disciplines

Mathematics

Cite this

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title = "Finding Redundant Rows in Two-Direction Generated Matrix in DT",

abstract = " Discrete tomography deals with the reconstruction of an image from the projections in a few directions. Mathematically, one solves a system of projection equations. The strip–based projection generates matrices with known rank less than the number of equations. We present ways to identify the dependent rows in such matrices, the removal of which result in a full row-rank system.",

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note = "Discrete tomography deals with the reconstruction of an image from the projections in a few directions. Mathematically, one solves a system of projection equations. The strip-based projection generates matrices with known rank less than the number of equations. We present ways to identify the dependent rows in such matrices, the removal of which result in a full row-rank system.; Southeastern and Atlantic Regional Conference on Differential Equations (SEARCDE) ; Conference date: 30-09-2011",

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N1 - Discrete tomography deals with the reconstruction of an image from the projections in a few directions. Mathematically, one solves a system of projection equations. The strip-based projection generates matrices with known rank less than the number of equations. We present ways to identify the dependent rows in such matrices, the removal of which result in a full row-rank system.

PY - 2011/9/30

Y1 - 2011/9/30

N2 - Discrete tomography deals with the reconstruction of an image from the projections in a few directions. Mathematically, one solves a system of projection equations. The strip–based projection generates matrices with known rank less than the number of equations. We present ways to identify the dependent rows in such matrices, the removal of which result in a full row-rank system.

AB - Discrete tomography deals with the reconstruction of an image from the projections in a few directions. Mathematically, one solves a system of projection equations. The strip–based projection generates matrices with known rank less than the number of equations. We present ways to identify the dependent rows in such matrices, the removal of which result in a full row-rank system.

KW - DT

KW - Redundant rows

KW - Two-direction generated matrix

UR - http://at.yorku.ca/c/b/d/f/56.htm

M3 - Presentation

T2 - Southeastern and Atlantic Regional Conference on Differential Equations (SEARCDE)

Y2 - 30 September 2011

ER -

Finding Redundant Rows in Two-Direction Generated Matrix in DT

Abstract

Conference

Keywords

DC Disciplines

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