Computerized Tomography and its Applications: A Guided Tour

J.B.T.M. Roerdink

Computerized Tomography and its Applications: A Guided Tour

J.B.T.M. Roerdink^*

^*Corresponding author voor dit werk

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We present a review of the mathematical principles of computerized tomography. Topics treated include the role of the Radon transform and related transforms, inversion formulas, uniqueness, ill-posedness and stability, practical reconstruction algorithms, and various generalizations such as diffraction tomography. References to the most relevant literature are cited. Several applications are briefly discussed; in particular, we present a case study of a mathematical problem arising in cardiac magnetic resonance imaging.

Originele taal-2	English
Pagina's (van-tot)	277-308
Aantal pagina's	25
Tijdschrift	Nieuw Archief voor Wiskunde
Volume	10
Nummer van het tijdschrift	3
Status	Published - 1992

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Computerized Tomography and its Applications: A Guided Tour
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title = "Computerized Tomography and its Applications: A Guided Tour",

abstract = "We present a review of the mathematical principles of computerized tomography. Topics treated include the role of the Radon transform and related transforms, inversion formulas, uniqueness, ill-posedness and stability, practical reconstruction algorithms, and various generalizations such as diffraction tomography. References to the most relevant literature are cited. Several applications are briefly discussed; in particular, we present a case study of a mathematical problem arising in cardiac magnetic resonance imaging.",

keywords = "magnetic resonance imaging, regularization, ill-posed problems, reconstruction algorithms, inversion formulas, Radon transform, computerized tomography",

author = "J.B.T.M. Roerdink",

note = "Relation: http://www.rug.nl/informatica/organisatie/overorganisatie/iwi Rights: University of Groningen. Research Institute for Mathematics and Computing Science (IWI)",

year = "1992",

language = "English",

volume = "10",

pages = "277--308",

journal = "Nieuw Archief voor Wiskunde",

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TY - JOUR

T1 - Computerized Tomography and its Applications

T2 - A Guided Tour

AU - Roerdink, J.B.T.M.

N1 - Relation: http://www.rug.nl/informatica/organisatie/overorganisatie/iwi Rights: University of Groningen. Research Institute for Mathematics and Computing Science (IWI)

PY - 1992

Y1 - 1992

N2 - We present a review of the mathematical principles of computerized tomography. Topics treated include the role of the Radon transform and related transforms, inversion formulas, uniqueness, ill-posedness and stability, practical reconstruction algorithms, and various generalizations such as diffraction tomography. References to the most relevant literature are cited. Several applications are briefly discussed; in particular, we present a case study of a mathematical problem arising in cardiac magnetic resonance imaging.

AB - We present a review of the mathematical principles of computerized tomography. Topics treated include the role of the Radon transform and related transforms, inversion formulas, uniqueness, ill-posedness and stability, practical reconstruction algorithms, and various generalizations such as diffraction tomography. References to the most relevant literature are cited. Several applications are briefly discussed; in particular, we present a case study of a mathematical problem arising in cardiac magnetic resonance imaging.

KW - magnetic resonance imaging

KW - regularization

KW - ill-posed problems

KW - reconstruction algorithms

KW - inversion formulas

KW - Radon transform

KW - computerized tomography

M3 - Article

SN - 0028-9825

VL - 10

SP - 277

EP - 308

JO - Nieuw Archief voor Wiskunde

JF - Nieuw Archief voor Wiskunde

IS - 3

ER -

Computerized Tomography and its Applications: A Guided Tour

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