OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 5 — May. 1, 2006
  • pp: 1048–1057

Automated determination of the center of rotation in tomography data

Tilman Donath, Felix Beckmann, and Andreas Schreyer  »View Author Affiliations


JOSA A, Vol. 23, Issue 5, pp. 1048-1057 (2006)
http://dx.doi.org/10.1364/JOSAA.23.001048


View Full Text Article

Enhanced HTML    Acrobat PDF (653 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Tomographic reconstruction requires precise knowledge of the position of the center of rotation in the sinogram data; otherwise, artifacts are introduced into the reconstruction. In parallel-beam microtomography, where resolution in the 1 μ m range is reached, the center of rotation is often only known with insufficient accuracy. We present three image metrics for the scoring of tomographic reconstructions and an iterative procedure for the determination of the position of the optimum center of rotation. The metrics are applied to model systems as well as to microtomography data from a synchrotron radiation source. The center of rotation is determined using the image metrics and compared with the results obtained by the center-of-mass method and by image registration. It is found that the image metrics make it possible to determine the axis position reliably at well below the resolution of one detector bin in an automated procedure.

© 2006 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(100.6950) Image processing : Tomographic image processing
(110.6960) Imaging systems : Tomography

ToC Category:
Imaging Systems

History
Original Manuscript: July 22, 2005
Manuscript Accepted: September 23, 2005

Citation
Tilman Donath, Felix Beckmann, and Andreas Schreyer, "Automated determination of the center of rotation in tomography data," J. Opt. Soc. Am. A 23, 1048-1057 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-5-1048


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. U. Bonse and F. Busch, "X-ray computed microtomography (μCT) using synchrotron radiation (SR)," Prog. Biophys. Mol. Biol. 65, 133-169 (1996). [CrossRef] [PubMed]
  2. A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (IEEE, 1988).
  3. L. A. Shepp, S. K. Hilal, and R. A. Schulz, "Tuning fork artifact in computerized tomography," Comput. Graph. Image Process. 10, 246-255 (1979). [CrossRef]
  4. W. Lu and T. R. Mackie, "Tomographic motion detection and correction directly in sinogram space," Phys. Med. Biol. 47, 1267-1284 (2002). [CrossRef] [PubMed]
  5. S. G. Azevedo, D. J. Schneberk, J. P. Fitch, and H. E. Martz, "Calculation of the rotational centers in computed tomography sinograms," IEEE Trans. Nucl. Sci. 37, 1525-1540 (1990). [CrossRef]
  6. J. P. Hogan, R. A. Gonsalves, and A. S. Krieger, "Micro computed tomography: removal of translational stage backlash," IEEE Trans. Nucl. Sci. 40, 1238-1241 (1993).
  7. J. L. Prince and A. S. Willsky, "Hierarchical reconstruction using geometry and sinogram restoration," IEEE Trans. Image Process. 2, 401-416 (1993). [CrossRef] [PubMed]
  8. B. Jähne, Digital Image Processing, 5th ed. (Springer, 2002).
  9. J. Modersitzki, Numerical Methods for Image Registration, Numerical Mathematics and Scientific Computation (Oxford U. Press, 2004).
  10. L. Ibáñez, W. Schroeder, L. Ng, and J. Cates, The ITK Software Guide 1.4 (Kitware, 2003).
  11. D. Atkinson, D. L. G. Hill, P. N. R. Stoyle, P. E. Summers, S. Clare, R. Bowtell, and S. F. Keevil, "Automatic compensation of motion artifacts in MRI," Magn. Reson. Med. 41, 163-170 (1999). [CrossRef] [PubMed]
  12. K. P. McGee, A. Manduca, J. P. Felmlee, S. J. Riederer, and R. L. Ehman, "Image metric-based correction (autocorrection) of motion effects: analysis of image metrics," J. Magn. Reson Imaging 11, 174-181 (2000). [CrossRef] [PubMed]
  13. A. Brunetti and F. de Carlo, "A robust procedure for determination of center of rotation in tomography," in Proc. SPIE 5535, 652-659 (2004). [CrossRef]
  14. P. A. Jansson, Deconvolution: With Applications in Spectroscopy (Academic, 1984).
  15. A. K. Jain, Fundamentals of Digital Image Processing, 1st ed. (Prentice Hall, 1988).
  16. C. E. Shannon, "A mathematical theory of communication," Bell Syst. Tech. J. 27, 379-423, 623-656 (1948).
  17. R. H. Huesman, G. T. Gullberg, W. L. Greenberg, and T. F. Budinger, RECLBL Library Users Manual: Donner Algorithms for Reconstruction Tomography (Lawrence Berkeley Laboratory, University of California, 1977).
  18. F. Beckmann, T. Donath, T. Dose, T. Lippmann, R. V. Martins, J. Metge, and A. Schreyer, "Microtomography using synchrotron radiation at DESY: current status and future developments," in Proc. SPIE 5535, 1-10 (2004). [CrossRef]
  19. T. Donath, F. Beckmann, R. G. J. C. Heijkants, O. Brunke, and A. Schreyer, "Characterization of polyurethane scaffolds using synchrotron radiation computed microtomography," in Proc. SPIE 5535, 775-782 (2004). [CrossRef]
  20. L. Grodzins, "Optimum energies for x-ray transmission tomography of small samples," Nucl. Instrum. Methods Phys. Res. 206, 541-545 (1983). [CrossRef]
  21. L. Grodzins, "Critical absorption tomography of small samples," Nucl. Instrum. Methods Phys. Res. 206, 547-552 (1983). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited