Generalized algebraic reconstruction techniques

Yibin Zheng; Heng Li

doi:10.1117/12.450356

Generalized algebraic reconstruction techniques

Yibin Zheng, Heng Li

Research output: Contribution to journal › Conference article › peer-review

Abstract

We propose a family of new algorithms that can be viewed as a generalization of the Algebraic Reconstruction Techniques (ART). These algorithms can be tailored for trade-offs between convergence speed and memory requirement. They also can be made to include Gaussian a priori image models. A key advantage is that they can handle arbitrary data acquisition scheme. Approximations are required for practical sized image reconstruction. We discuss several approximations and demonstrate numerical simulation examples for computed tomography (CT) reconstructions.

Original language	English (US)
Pages (from-to)	19-25
Number of pages	7
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	4792
DOIs	https://doi.org/10.1117/12.450356
State	Published - 2002
Externally published	Yes
Event	Image Reconstruction from Incomplete Data II - Seattle, WA, United States Duration: Jul 8 2002 → Jul 9 2002

Keywords

Algebraic reconstruction techniques
Recursive least squares
Tomography

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Computer Science Applications
Applied Mathematics
Electrical and Electronic Engineering

Access to Document

10.1117/12.450356

Cite this

@article{9d9b11851f1a48c38aff4d4d06f4518f,

title = "Generalized algebraic reconstruction techniques",

abstract = "We propose a family of new algorithms that can be viewed as a generalization of the Algebraic Reconstruction Techniques (ART). These algorithms can be tailored for trade-offs between convergence speed and memory requirement. They also can be made to include Gaussian a priori image models. A key advantage is that they can handle arbitrary data acquisition scheme. Approximations are required for practical sized image reconstruction. We discuss several approximations and demonstrate numerical simulation examples for computed tomography (CT) reconstructions.",

keywords = "Algebraic reconstruction techniques, Recursive least squares, Tomography",

author = "Yibin Zheng and Heng Li",

year = "2002",

doi = "10.1117/12.450356",

language = "English (US)",

volume = "4792",

pages = "19--25",

journal = "Proceedings of SPIE - The International Society for Optical Engineering",

issn = "0277-786X",

publisher = "SPIE",

note = "Image Reconstruction from Incomplete Data II ; Conference date: 08-07-2002 Through 09-07-2002",

}

TY - JOUR

T1 - Generalized algebraic reconstruction techniques

AU - Zheng, Yibin

AU - Li, Heng

PY - 2002

Y1 - 2002

N2 - We propose a family of new algorithms that can be viewed as a generalization of the Algebraic Reconstruction Techniques (ART). These algorithms can be tailored for trade-offs between convergence speed and memory requirement. They also can be made to include Gaussian a priori image models. A key advantage is that they can handle arbitrary data acquisition scheme. Approximations are required for practical sized image reconstruction. We discuss several approximations and demonstrate numerical simulation examples for computed tomography (CT) reconstructions.

AB - We propose a family of new algorithms that can be viewed as a generalization of the Algebraic Reconstruction Techniques (ART). These algorithms can be tailored for trade-offs between convergence speed and memory requirement. They also can be made to include Gaussian a priori image models. A key advantage is that they can handle arbitrary data acquisition scheme. Approximations are required for practical sized image reconstruction. We discuss several approximations and demonstrate numerical simulation examples for computed tomography (CT) reconstructions.

KW - Algebraic reconstruction techniques

KW - Recursive least squares

KW - Tomography

UR - http://www.scopus.com/inward/record.url?scp=0038416830&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038416830&partnerID=8YFLogxK

U2 - 10.1117/12.450356

DO - 10.1117/12.450356

M3 - Conference article

AN - SCOPUS:0038416830

SN - 0277-786X

VL - 4792

SP - 19

EP - 25

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

T2 - Image Reconstruction from Incomplete Data II

Y2 - 8 July 2002 through 9 July 2002

ER -

Generalized algebraic reconstruction techniques

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this