Skip to main content

Inclination of an object and possibilities for the construction of 3D tomograms based on two-dimensional projections

Abstract

An analysis of possibilities for reconstructing the spatial structure of a rotating object based on two-dimensional projections (images) as a function of the object inclination presented. For a 3D2D tomography, equal spatial resolutions for the summarized point spread function (SPSF) at the half-power beamwidth level along the rotation axis and in the orbital plane are obtained for an inclination i ~ 55°. This value is consistent with results for the 3D1D version, corresponding to the construction of 3D Doppler tomograms using one-dimensional projections. In contrast to the 3D1D case, increasing the inclination in the interval from55° to 90° leads to an only a slight difference in the two resolutions, and 90° is not a critical inclination. An appreciable reduction in the quality of model reconstructions is observed for inclinations below 20°. There is a complete loss of resolution along the rotation axis when the inclination is 0°. The radio-astronomical approach to the reconstructionmakes it possible to use a limited number of projections in the 3D2D case, and leads to smaller distortions than the filtered back-projectionmethod.

This is a preview of subscription content, access via your institution.

References

  1. W. M. Peterson, R. L. Mutel, M. Güdel, and W. M. Goss, Nature 463, 207 (2010).

    ADS  Article  Google Scholar 

  2. N. S. Kardashev and Yu. Yu. Kovalev, Inform. Soobshch. AKTs FIAN No. 25 (Astrokosm. Tsentr FIAN, RadioAstron, 2014). http: //www.asc.rssi.ru/radioastron/news/newsl/ ru/newsl_25_ru.pdf

    Google Scholar 

  3. N. Blind, H. M. J. Boffin, J.-P. Berger, J.- B. Le Bouquin, A. Merand, B. Lazareff, and G. Zins, Astron. Astrophys. 536, A55 (2011).

    ADS  Article  MATH  Google Scholar 

  4. J. T. Armstrong, D. Mozurkewich, L. J. Rickard, D. J. Hutter, J. A. Benson, P. F. Bowers, N. M. Elias II, C. A. Hummel, K. J. Johnston, D. F. Buscher, J. H. Clark III, L. Ha, L.-C. Ling, N. M. White, and R. S. Simon, Astrophys. J. 496, 550 (1998).

    ADS  Article  Google Scholar 

  5. H. Morgan, S. R. Habbal, and N. Lugaz, Astrophys. J. 690, 1119 (2009).

    ADS  Article  MATH  Google Scholar 

  6. M. I. Agafonov, Radiophysics and Quantum Electronics, 47, 85 (2004).

    ADS  Article  Google Scholar 

  7. M. I. Agafonov, Astron. Nachr. 325, 263 (2004).

    ADS  Article  Google Scholar 

  8. M. I. Agafonov and O. I. Sharova, Radiophysics and Quantum Electronics, 485, 329 (2005).

    ADS  Article  Google Scholar 

  9. M. I. Agafonov and O. I. Sharova, Astron. Nachr. 326, 143 (2005).

    ADS  Article  Google Scholar 

  10. M. I. Agafonov and O. I. Sharova, Astron. Rep. 57, 7 (2013).

    ADS  Article  Google Scholar 

  11. M. I. Agafonov and M. Yu. Sidorov, Astron. Rep. 58, 406 (2014).

    ADS  Article  Google Scholar 

  12. M. I. Agafonov, M. T. Richards, and O. I. Sharova, Astrophys. J. 652, 1547 (2006).

    ADS  Article  Google Scholar 

  13. M. I. Agafonov, O. I. Sharova, and M. T. Richards, Astrophys. J. 690, 1730 (2009).

    ADS  Article  Google Scholar 

  14. M. T. Richards, O. I. Sharova, and M. I. Agafonov, Astrophys. J. 720, 996 (2010).

    ADS  Article  Google Scholar 

  15. M. T. Richards, M. I. Agafonov, and O. I. Sharova, Astrophys. J. 760, 8 (2012).

    ADS  Article  Google Scholar 

  16. O. I. Sharova, M. I. Agafonov, E. A. Karitskaya, N. G. Bochkarev, S. V. Zharikov, G. Z. Butenko, and A. V. Bondar, in From Interacting Binaries to Exoplanets: Essential Modeling Tool, Ed. by M. Richards and I. Hubeny, IAU Symp. 282, 201 (2012).

    Google Scholar 

  17. W. A. Kalender, Computed Tomography: Fundamentals, System Technology, Image Quality, Applications (Publicis Kommunikations Agentur, GmbH, GWA, Erlangen, 2nd edition, 2005; Tekhnosfera, Moscow, 2006).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. I. Agafonov.

Additional information

Original Russian Text © M.I. Agafonov, M.Yu. Sidorov, 2015, published in Astronomicheskii Zhurnal, 2015, Vol. 92, No. 7, pp. 606–616.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Agafonov, M.I., Sidorov, M.Y. Inclination of an object and possibilities for the construction of 3D tomograms based on two-dimensional projections. Astron. Rep. 59, 736–746 (2015). https://doi.org/10.1134/S106377291507001X

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S106377291507001X

Keywords

  • Astronomy Report
  • Orbital Plane
  • 3D1D Version
  • Main Lobe
  • Tomographic Reconstruction