Abstract

Tomographic images are often superimposed by so called ring artefacts. Ring artefacts are concentric rings in the images around the center of rotation of the tomographic setup caused e.g. by differences in the individual pixel response of the detector. They complicate the post processing of the data, i.e. the segmentation of individual image information. Hence, for a quantitative analysis of the tomographic images a significant reduction of these artefacts is essential. In this paper, a simple but efficient method to eliminate such artefacts during the reconstruction is proposed.

© 2006 Optical Society of America

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References

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  1. G. T. Herman, Image Reconstruction from Projections - The Fundamentals of Computed Tomography, (Academic Press New York, 1980).
  2. R. Davis, J. C. Elliott, "X-ray microtomography scanner using time-delay integration for elimination of ring artefacts in the reconstructed image," Nucl. Instrum. Methods Phys. Res. A 394, 157-162, (1997).
    [CrossRef]
  3. W. G¨orner, M. P. Hentschel, B. R. Muller, H. Riesemeier, M. Krumrey, G. Ulm, W. Diete, U. Klein, R. Frahm, "BAMline: the first hard X-ray beamline at BESSY II," Nucl. Instrum. Methods Phys. Res. A 467-468, 703-706, (2001).
    [CrossRef]
  4. J. Sijbers, A. Postnov, "Reduction of ring artifacts in high resolution micro-CT reconstructions," Phys.Med. Biol. 49, 247-253, (2004).
    [CrossRef]
  5. C. Raven, "Numerical removal of ring artifacts in microtomography," Rev. Sci. Instrum. 69, 2978-2980, (1998).
    [CrossRef]
  6. C. Antoine, P. Nygard, Ø. Gregersen, R. Holmstad, T. Weitkamp, C. Rau, "3D images of paper obtained by phase-contrast X-ray microtomography: image quality and binarisation," Nucl. Instrum. Methods Phys. Res. A 490, 392-402, (2002).
    [CrossRef]
  7. A. Haibel, C. Scheuerlein, "Synchrotron tomography for the study of void formation in internal tin Nb3Sn superconductors," submitted to IEEE Trans. Appl. Supercond.
  8. A. Goedeke, "Performance Boundaries on Nb3Sn Superconductors," Ph.D. thesis, University of Twente, Enschede, Netherlands, 2005.
  9. PyHST, http://ftp.esrf.fr/pub/scisoft/ESRF sw/doc/PyHST/GettingPyHST.html, last visited Aug. 2006.
  10. M. Rivers, "Tutorial Introduction to X-ray Computed Microtomography Data Processing," http://wwwfp. mcs.anl.gov/xray-cmt/rivers/tutorial.html, University of Chicago, 1998.
  11. W. Smith, “The Scientist and Engineer’s Guide to Digital Signal Processing,” http://www.dspguide.com/, last visited Aug. 2006.

2004 (1)

J. Sijbers, A. Postnov, "Reduction of ring artifacts in high resolution micro-CT reconstructions," Phys.Med. Biol. 49, 247-253, (2004).
[CrossRef]

2002 (1)

C. Antoine, P. Nygard, Ø. Gregersen, R. Holmstad, T. Weitkamp, C. Rau, "3D images of paper obtained by phase-contrast X-ray microtomography: image quality and binarisation," Nucl. Instrum. Methods Phys. Res. A 490, 392-402, (2002).
[CrossRef]

2001 (1)

W. G¨orner, M. P. Hentschel, B. R. Muller, H. Riesemeier, M. Krumrey, G. Ulm, W. Diete, U. Klein, R. Frahm, "BAMline: the first hard X-ray beamline at BESSY II," Nucl. Instrum. Methods Phys. Res. A 467-468, 703-706, (2001).
[CrossRef]

1998 (1)

C. Raven, "Numerical removal of ring artifacts in microtomography," Rev. Sci. Instrum. 69, 2978-2980, (1998).
[CrossRef]

1997 (1)

R. Davis, J. C. Elliott, "X-ray microtomography scanner using time-delay integration for elimination of ring artefacts in the reconstructed image," Nucl. Instrum. Methods Phys. Res. A 394, 157-162, (1997).
[CrossRef]

Antoine, C.

C. Antoine, P. Nygard, Ø. Gregersen, R. Holmstad, T. Weitkamp, C. Rau, "3D images of paper obtained by phase-contrast X-ray microtomography: image quality and binarisation," Nucl. Instrum. Methods Phys. Res. A 490, 392-402, (2002).
[CrossRef]

Davis, R.

R. Davis, J. C. Elliott, "X-ray microtomography scanner using time-delay integration for elimination of ring artefacts in the reconstructed image," Nucl. Instrum. Methods Phys. Res. A 394, 157-162, (1997).
[CrossRef]

Elliott, J. C.

R. Davis, J. C. Elliott, "X-ray microtomography scanner using time-delay integration for elimination of ring artefacts in the reconstructed image," Nucl. Instrum. Methods Phys. Res. A 394, 157-162, (1997).
[CrossRef]

Postnov, A.

J. Sijbers, A. Postnov, "Reduction of ring artifacts in high resolution micro-CT reconstructions," Phys.Med. Biol. 49, 247-253, (2004).
[CrossRef]

Raven, C.

C. Raven, "Numerical removal of ring artifacts in microtomography," Rev. Sci. Instrum. 69, 2978-2980, (1998).
[CrossRef]

Sijbers, J.

J. Sijbers, A. Postnov, "Reduction of ring artifacts in high resolution micro-CT reconstructions," Phys.Med. Biol. 49, 247-253, (2004).
[CrossRef]

Nucl. Instrum. Methods Phys. Res. A (3)

R. Davis, J. C. Elliott, "X-ray microtomography scanner using time-delay integration for elimination of ring artefacts in the reconstructed image," Nucl. Instrum. Methods Phys. Res. A 394, 157-162, (1997).
[CrossRef]

W. G¨orner, M. P. Hentschel, B. R. Muller, H. Riesemeier, M. Krumrey, G. Ulm, W. Diete, U. Klein, R. Frahm, "BAMline: the first hard X-ray beamline at BESSY II," Nucl. Instrum. Methods Phys. Res. A 467-468, 703-706, (2001).
[CrossRef]

C. Antoine, P. Nygard, Ø. Gregersen, R. Holmstad, T. Weitkamp, C. Rau, "3D images of paper obtained by phase-contrast X-ray microtomography: image quality and binarisation," Nucl. Instrum. Methods Phys. Res. A 490, 392-402, (2002).
[CrossRef]

Phys.Med. Biol. (1)

J. Sijbers, A. Postnov, "Reduction of ring artifacts in high resolution micro-CT reconstructions," Phys.Med. Biol. 49, 247-253, (2004).
[CrossRef]

Rev. Sci. Instrum. (1)

C. Raven, "Numerical removal of ring artifacts in microtomography," Rev. Sci. Instrum. 69, 2978-2980, (1998).
[CrossRef]

Other (6)

A. Haibel, C. Scheuerlein, "Synchrotron tomography for the study of void formation in internal tin Nb3Sn superconductors," submitted to IEEE Trans. Appl. Supercond.

A. Goedeke, "Performance Boundaries on Nb3Sn Superconductors," Ph.D. thesis, University of Twente, Enschede, Netherlands, 2005.

PyHST, http://ftp.esrf.fr/pub/scisoft/ESRF sw/doc/PyHST/GettingPyHST.html, last visited Aug. 2006.

M. Rivers, "Tutorial Introduction to X-ray Computed Microtomography Data Processing," http://wwwfp. mcs.anl.gov/xray-cmt/rivers/tutorial.html, University of Chicago, 1998.

W. Smith, “The Scientist and Engineer’s Guide to Digital Signal Processing,” http://www.dspguide.com/, last visited Aug. 2006.

G. T. Herman, Image Reconstruction from Projections - The Fundamentals of Computed Tomography, (Academic Press New York, 1980).

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Figures (4)

Fig. 1.
Fig. 1.

2D slice of a tomographic image: The cross section of a superconductor strand (binary Powder-in-Tube strand of Nb3Sn and copper) superimposed by strong ring artefacts.

Fig. 2.
Fig. 2.

The background of the image shows a sinogram, which consists of all measured projections pn (i) of a slice for angles n between 0 and 180 degrees that are arranged among each other. Here, the sinogram reveals vertical lines that are responsible for ring artefacts, the inset in the top right corner emphasises this. The diagram shows the sum y(i) of all grey values for each pixel column in the sinogram and the fitted graph ys (i) of this function.

Fig. 3.
Fig. 3.

Tomographic slice after the high frequency correction [5, 10] of the sinogram. In comparison to the original image the slice contains less rings. But there are still some ring artefacts left.

Fig. 4.
Fig. 4.

Tomographic slice after using the new sinogram correction algorithm without ring artefacts. Here, the algorithm was used with the span factor N=20.

Equations (3)

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y ( i ) = n p n ( i )
y s ( i ) = 1 2 N + 1 [ y ( i + N ) + y ( i + N 1 ) + . . . + y ( i N ) ]
p n ( i ) = p n ( i ) · y s ( i ) y ( i )

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