Formulation of four Katsevich algorithms in native geometry

Alexander Katsevich; Katsuyuki Taguchi; Alexander A. Zamyatin

doi:10.1109/TMI.2006.876159

Formulation of four Katsevich algorithms in native geometry

Alexander Katsevich, Katsuyuki Taguchi, Alexander A. Zamyatin

School of Medicine

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

We derive formulations of the four exact helical Katsevich algorithms in the native cylindrical detector geometry, which allow efficient implementation in modern computed tomography scanners with wide cone beam aperture. Also, we discuss some aspects of numerical implementation.

Original language	English (US)
Article number	1644802
Pages (from-to)	855-868
Number of pages	14
Journal	IEEE transactions on medical imaging
Volume	25
Issue number	7
DOIs	https://doi.org/10.1109/TMI.2006.876159
State	Published - Jul 2006

Keywords

Computed tomography (CT)
Cone beam reconstruction
Exact algorithms
Shift-invariant filtering

ASJC Scopus subject areas

Software
Radiological and Ultrasound Technology
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TMI.2006.876159

Cite this

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title = "Formulation of four Katsevich algorithms in native geometry",

abstract = "We derive formulations of the four exact helical Katsevich algorithms in the native cylindrical detector geometry, which allow efficient implementation in modern computed tomography scanners with wide cone beam aperture. Also, we discuss some aspects of numerical implementation.",

keywords = "Computed tomography (CT), Cone beam reconstruction, Exact algorithms, Shift-invariant filtering",

author = "Alexander Katsevich and Katsuyuki Taguchi and Zamyatin, {Alexander A.}",

note = "Funding Information: Manuscript received October 1, 2005; revised April 13, 2006. This work was supported in part by the National Science Foundation under Grant DMS-0104033and Grant DMS-0505494, and in part by the Toshiba Medical Systems Corporation, Japan. Asterisk indicates corresponding author. A. Katsevich is with the Department of Mathematics, University of Central Florida, Orlando, FL 32816-1364 USA (e-mail: [email protected]). K. Taguchi was with Toshiba Medical Systems Corporation, Tochigi 324-8550, Japan. He is now with the Division of Medical Imaging Physics, Johns Hopkins University, Baltimore, MD 21287 USA (e-mail: [email protected]). *A. A. Zamyatin is with Bio-Imaging Research, Inc., Lincolnshire, IL 60069 USA (e-mail: [email protected]). Digital Object Identifier 10.1109/TMI.2006.876159",

year = "2006",

month = jul,

doi = "10.1109/TMI.2006.876159",

language = "English (US)",

volume = "25",

pages = "855--868",

journal = "IEEE transactions on medical imaging",

issn = "0278-0062",

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T1 - Formulation of four Katsevich algorithms in native geometry

AU - Katsevich, Alexander

AU - Taguchi, Katsuyuki

AU - Zamyatin, Alexander A.

N1 - Funding Information: Manuscript received October 1, 2005; revised April 13, 2006. This work was supported in part by the National Science Foundation under Grant DMS-0104033and Grant DMS-0505494, and in part by the Toshiba Medical Systems Corporation, Japan. Asterisk indicates corresponding author. A. Katsevich is with the Department of Mathematics, University of Central Florida, Orlando, FL 32816-1364 USA (e-mail: [email protected]). K. Taguchi was with Toshiba Medical Systems Corporation, Tochigi 324-8550, Japan. He is now with the Division of Medical Imaging Physics, Johns Hopkins University, Baltimore, MD 21287 USA (e-mail: [email protected]). *A. A. Zamyatin is with Bio-Imaging Research, Inc., Lincolnshire, IL 60069 USA (e-mail: [email protected]). Digital Object Identifier 10.1109/TMI.2006.876159

PY - 2006/7

Y1 - 2006/7

N2 - We derive formulations of the four exact helical Katsevich algorithms in the native cylindrical detector geometry, which allow efficient implementation in modern computed tomography scanners with wide cone beam aperture. Also, we discuss some aspects of numerical implementation.

AB - We derive formulations of the four exact helical Katsevich algorithms in the native cylindrical detector geometry, which allow efficient implementation in modern computed tomography scanners with wide cone beam aperture. Also, we discuss some aspects of numerical implementation.

KW - Computed tomography (CT)

KW - Cone beam reconstruction

KW - Exact algorithms

KW - Shift-invariant filtering

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JO - IEEE transactions on medical imaging

JF - IEEE transactions on medical imaging

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Formulation of four Katsevich algorithms in native geometry

Abstract

Keywords

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