Resolving ambiguities in reconstructed grain maps using discrete tomography

A. Alpers; E. Knudsen; H.F. Poulsen; G.T. Herman

doi:10.1016/j.endm.2005.05.076

Resolving ambiguities in reconstructed grain maps using discrete tomography

A. Alpers, E. Knudsen, H.F. Poulsen, G.T. Herman

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

Abstract

The so-called 3DXRD microscope, implemented at the European Synchrotron Radiation Facility in Grenoble, France, utilizes the principle of X-ray diffraction for mapping the crystalline grains within hard materials such as metals or ceramics. Present algorithms, using continuous models, roughly reconstruct the image from diffraction data, but they are often unable to assign unambiguous values to all pixels. We present an approach that resolves these ambiguous pixels by using a Monte Carlo technique that exploits the discrete nature of the problem and utilizes proven methods of discrete tomography. Based on simulations we show that most ambiguities can be successfully resolved.

Original language	English
Journal	Electronic Notes in Discrete Mathematics
Volume	20
Pages (from-to)	419-437
ISSN	1571-0653
DOIs	https://doi.org/10.1016/j.endm.2005.05.076
Publication status	Published - 2005
Event	Workshop on Discrete Tomography and its Applications - City University of New York, New York, United States Duration: 13 Jun 2005 → 15 Jun 2005

Workshop

Workshop	Workshop on Discrete Tomography and its Applications
Location	City University of New York
Country/Territory	United States
City	New York
Period	13/06/2005 → 15/06/2005

Keywords

Discrete tomography
Polycrystals
Crystallography
Gibbs distribution
X-ray diffraction
Image restoration

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10.1016/j.endm.2005.05.076

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title = "Resolving ambiguities in reconstructed grain maps using discrete tomography",

abstract = "The so-called 3DXRD microscope, implemented at the European Synchrotron Radiation Facility in Grenoble, France, utilizes the principle of X-ray diffraction for mapping the crystalline grains within hard materials such as metals or ceramics. Present algorithms, using continuous models, roughly reconstruct the image from diffraction data, but they are often unable to assign unambiguous values to all pixels. We present an approach that resolves these ambiguous pixels by using a Monte Carlo technique that exploits the discrete nature of the problem and utilizes proven methods of discrete tomography. Based on simulations we show that most ambiguities can be successfully resolved.",

keywords = "7-I poly, Discrete tomography, Polycrystals, Crystallography, Gibbs distribution, X-ray diffraction, Image restoration",

author = "A. Alpers and E. Knudsen and H.F. Poulsen and G.T. Herman",

year = "2005",

doi = "10.1016/j.endm.2005.05.076",

language = "English",

volume = "20",

pages = "419--437",

journal = "Electronic Notes in Discrete Mathematics",

issn = "1571-0653",

publisher = "Elsevier",

note = "Workshop on Discrete Tomography and its Applications ; Conference date: 13-06-2005 Through 15-06-2005",

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TY - GEN

T1 - Resolving ambiguities in reconstructed grain maps using discrete tomography

AU - Alpers, A.

AU - Knudsen, E.

AU - Poulsen, H.F.

AU - Herman, G.T.

PY - 2005

Y1 - 2005

N2 - The so-called 3DXRD microscope, implemented at the European Synchrotron Radiation Facility in Grenoble, France, utilizes the principle of X-ray diffraction for mapping the crystalline grains within hard materials such as metals or ceramics. Present algorithms, using continuous models, roughly reconstruct the image from diffraction data, but they are often unable to assign unambiguous values to all pixels. We present an approach that resolves these ambiguous pixels by using a Monte Carlo technique that exploits the discrete nature of the problem and utilizes proven methods of discrete tomography. Based on simulations we show that most ambiguities can be successfully resolved.

AB - The so-called 3DXRD microscope, implemented at the European Synchrotron Radiation Facility in Grenoble, France, utilizes the principle of X-ray diffraction for mapping the crystalline grains within hard materials such as metals or ceramics. Present algorithms, using continuous models, roughly reconstruct the image from diffraction data, but they are often unable to assign unambiguous values to all pixels. We present an approach that resolves these ambiguous pixels by using a Monte Carlo technique that exploits the discrete nature of the problem and utilizes proven methods of discrete tomography. Based on simulations we show that most ambiguities can be successfully resolved.

KW - 7-I poly

KW - Discrete tomography

KW - Polycrystals

KW - Crystallography

KW - Gibbs distribution

KW - X-ray diffraction

KW - Image restoration

U2 - 10.1016/j.endm.2005.05.076

DO - 10.1016/j.endm.2005.05.076

M3 - Conference article

SN - 1571-0653

VL - 20

SP - 419

EP - 437

JO - Electronic Notes in Discrete Mathematics

JF - Electronic Notes in Discrete Mathematics

T2 - Workshop on Discrete Tomography and its Applications

Y2 - 13 June 2005 through 15 June 2005

ER -

Resolving ambiguities in reconstructed grain maps using discrete tomography

Abstract

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Keywords

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