Regularization methods for inverse problems in X-ray tomography

Valeriy Titarenko; Robert Bradley; Christopher Martin; Philip J. Withers; Sofya Titarenko

doi:10.1117/12.860260

Regularization methods for inverse problems in X-ray tomography

Valeriy Titarenko, Robert Bradley, Christopher Martin, Philip J. Withers, Sofya Titarenko

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

30 Citations (Scopus)

Abstract

Scintillators, optical systems and CCD cameras used to record projections also blur them. Therefore the recorded projections are smooth functions of spatial variables. This can be used to construct special methods to suppress ring artefacts. Several such algorithms based on ideas of the theory of inverse and ill-posed problems and using various forms of Tikhonov functional are proposed: a fast ring artefact suppression algorithm in a case of homogeneous specimens and its modified versions for anisotropically attenuated samples.

Original language	English
Title of host publication	Developments in X-Ray Tomography VII
Editors	Stuart R. Stock
Publisher	SPIE
Number of pages	10
Volume	7804
ISBN (Print)	9780819483003
DOIs	https://doi.org/10.1117/12.860260
Publication status	Published - 1 Sep 2010
Externally published	Yes
Event	Developments in X-Ray Tomography VII - San Diego, United States Duration: 1 Aug 2010 → 5 Aug 2010 Conference number: 7

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	7804
ISSN (Print)	0277-786X
ISSN (Electronic)	1996-756X

Conference

Conference	Developments in X-Ray Tomography VII
Country/Territory	United States
City	San Diego
Period	1/08/10 → 5/08/10

Access to Document

10.1117/12.860260Licence: Unspecified

Cite this

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title = "Regularization methods for inverse problems in X-ray tomography",

abstract = "Scintillators, optical systems and CCD cameras used to record projections also blur them. Therefore the recorded projections are smooth functions of spatial variables. This can be used to construct special methods to suppress ring artefacts. Several such algorithms based on ideas of the theory of inverse and ill-posed problems and using various forms of Tikhonov functional are proposed: a fast ring artefact suppression algorithm in a case of homogeneous specimens and its modified versions for anisotropically attenuated samples.",

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Titarenko, V, Bradley, R, Martin, C, Withers, PJ & Titarenko, S 2010, Regularization methods for inverse problems in X-ray tomography. in SR Stock (ed.), Developments in X-Ray Tomography VII. vol. 7804, 78040Z, Proceedings of SPIE - The International Society for Optical Engineering, vol. 7804, SPIE, Developments in X-Ray Tomography VII, San Diego, California, United States, 1/08/10. https://doi.org/10.1117/12.860260

Regularization methods for inverse problems in X-ray tomography. / Titarenko, Valeriy; Bradley, Robert; Martin, Christopher et al.

Developments in X-Ray Tomography VII. ed. / Stuart R. Stock. Vol. 7804 SPIE, 2010. 78040Z (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 7804).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Regularization methods for inverse problems in X-ray tomography

AU - Titarenko, Valeriy

AU - Bradley, Robert

AU - Martin, Christopher

AU - Withers, Philip J.

AU - Titarenko, Sofya

N1 - Conference code: 7

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N2 - Scintillators, optical systems and CCD cameras used to record projections also blur them. Therefore the recorded projections are smooth functions of spatial variables. This can be used to construct special methods to suppress ring artefacts. Several such algorithms based on ideas of the theory of inverse and ill-posed problems and using various forms of Tikhonov functional are proposed: a fast ring artefact suppression algorithm in a case of homogeneous specimens and its modified versions for anisotropically attenuated samples.

AB - Scintillators, optical systems and CCD cameras used to record projections also blur them. Therefore the recorded projections are smooth functions of spatial variables. This can be used to construct special methods to suppress ring artefacts. Several such algorithms based on ideas of the theory of inverse and ill-posed problems and using various forms of Tikhonov functional are proposed: a fast ring artefact suppression algorithm in a case of homogeneous specimens and its modified versions for anisotropically attenuated samples.

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VL - 7804

T3 - Proceedings of SPIE - The International Society for Optical Engineering

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Y2 - 1 August 2010 through 5 August 2010

ER -

Regularization methods for inverse problems in X-ray tomography

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