System Generated by Strip-Based Projections in Discrete Tomography

Jiehua Zhu; Xiezhang Li; Yangbo Ye; Ge Wang

doi:10.1117/12.680852

System Generated by Strip-Based Projections in Discrete Tomography

Jiehua Zhu, Xiezhang Li, Yangbo Ye, Ge Wang

Mathematical Sciences

Research output: Contribution to book or proceeding › Chapter

1 Scopus citations

Abstract

The projection equations in the research of discrete tomography are obtained by either counting the number of points that each line passes or computing the fractional areas of the intersection of each strip and the grid. In this work, a system of linear equations for strip-based projections with rational slopes is obtained. The linear dependency number of these equations is derived.

Original language	American English
Title of host publication	Developments in X-Ray Tomography V: Proceedings of the Society of Photo-Optical Instrumentation Engineers
DOIs	https://doi.org/10.1117/12.680852
State	Published - Sep 7 2006

Disciplines

Mathematics

Keywords

Discrete tomography
Strip-based projections
System generated

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10.1117/12.680852License: Unspecified

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title = "System Generated by Strip-Based Projections in Discrete Tomography",

abstract = " The projection equations in the research of discrete tomography are obtained by either counting the number of points that each line passes or computing the fractional areas of the intersection of each strip and the grid. In this work, a system of linear equations for strip-based projections with rational slopes is obtained. The linear dependency number of these equations is derived.",

keywords = "Discrete tomography, Strip-based projections, System generated",

author = "Jiehua Zhu and Xiezhang Li and Yangbo Ye and Ge Wang",

note = "SPIE Digital Library Proceedings",

year = "2006",

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AU - Zhu, Jiehua

AU - Li, Xiezhang

AU - Ye, Yangbo

AU - Wang, Ge

N1 - SPIE Digital Library Proceedings

PY - 2006/9/7

Y1 - 2006/9/7

N2 - The projection equations in the research of discrete tomography are obtained by either counting the number of points that each line passes or computing the fractional areas of the intersection of each strip and the grid. In this work, a system of linear equations for strip-based projections with rational slopes is obtained. The linear dependency number of these equations is derived.

AB - The projection equations in the research of discrete tomography are obtained by either counting the number of points that each line passes or computing the fractional areas of the intersection of each strip and the grid. In this work, a system of linear equations for strip-based projections with rational slopes is obtained. The linear dependency number of these equations is derived.

KW - Discrete tomography

KW - Strip-based projections

KW - System generated

UR - https://doi.org/10.1117/12.680852

U2 - 10.1117/12.680852

DO - 10.1117/12.680852

M3 - Chapter

BT - Developments in X-Ray Tomography V: Proceedings of the Society of Photo-Optical Instrumentation Engineers

ER -

System Generated by Strip-Based Projections in Discrete Tomography

Abstract

Disciplines

Keywords

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