Skip to main content
Log in

New Class of Pseudo-Random Hexagonal Configurations for Coding Collimators of Ionizing Radiation

  • Published:
Biomedical Engineering Aims and scope

New ways of constructing two-dimensional hexagonal configurations based on pseudo-random and extended pseudo-random sequences are presented. The first method involves adding or subtracting elements of traditional hexagonal configuration. Pseudo-rectangular hexagonal configurations with hexagonal cells and their modifications were obtained. All configurations keep their periodicity and ability for mosaic construction allowing using them for creation of multi-pinhole coding collimators for registration of ionizing radiation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. Caroly, J. B. Stephen, G. Di Cocco, et al., Space Sci. Rev., 45, 349-403 (1987).

    Article  Google Scholar 

  2. Jean in’t Zand, http://astrophysics.gsfc.nasa.gov/cai/coded_inss.html (2013).

  3. A. I. Mogil’ner, O. A. Sal’nikov, and L. A. Timokhin, Pribory Tekhn. Eksp., No. 2, 22 (1966).

  4. G. Wilhelm and F. Gompf, Nucl. Instr. Meth., 81, 36-44 (1970).

    Article  Google Scholar 

  5. M. I. Novopoltsev and Yu. P. Pokotilovskii, Pribory Tekhn. Eksp., No. 5, 19-27 (2010).

  6. R. Accorsia, F. Gasparinib, and R. C. Lanza, Nucl. Instr. Meth. Phys. Res. A, 474, 273-284 (2001).

    Article  Google Scholar 

  7. V. M. Nemchinov, G. A. Fedorov, A. V. Samosadnyi, S. V. Markov, and D. S. Semenov, Sovrem. Naukoemk. Tekhnol., No. 5, 64-65 (2004).

  8. V. M. Utkin, M. A. Kumakhov, N. N. Blinov, et al., Med. Fiz., No. 1, 42-53 (2007).

  9. P. T. Durrant, M. Dallimore, I. D. Jupp, et al., Nucl. Instr. Meth. A, 422, 667-671 (1999).

    Article  Google Scholar 

  10. M. Gmar, O. Gal, C. Le Goaller, et al., IEEE Trans. Nucl. Sci., 51, 1682-1687 (2004).

    Article  Google Scholar 

  11. L. M. Soroko, Multiplex Measurement Systems in Physics [in Russian], Atomizdat, Moscow (1980).

    Google Scholar 

  12. A. S. Artemov, Fiz. Element. Chast. Atom. Yadra, 32, 189-211 (2001).

    Google Scholar 

  13. S. R. Gottesman, A. Isser, and G. W. Gigioli., Proc. Int. Soc. Optic. Eng., 8165, 1-9 (2011).

    Google Scholar 

  14. G. A. Fedorov, Radiation Introscopy. Information Coding and Experiment Optimization [in Russian], Energoatomizdat, Moscow (1982).

    Google Scholar 

  15. G. A. Fedorov and S. A. Tereshchenko, Izmerit. Tekhn., 11, 49-54 (1995).

    Google Scholar 

  16. S. A. Tereshchenko, Methods of Computational Tomography [in Russian], Fizmatlit, Moscow (2004).

    Google Scholar 

  17. G. A. Fedorov, Integrated-Code Systems for Measurement in Radiation Physics [in Russian], NRNU MEPhI, Moscow (2010).

    Google Scholar 

  18. H. H. Barrett, J. Nucl. Med., 13, 382-385 (1972).

    Google Scholar 

  19. G. A. Fedorov and S. A. Tereshchenko, Computing Emission Is on the Graph [in Russian], Energoatomizdat, Moscow (1990).

    Google Scholar 

  20. R. H. Dicke, Astrophys. J., 153, L101-L106 (1968).

    Article  Google Scholar 

  21. G. A. Fedorov and S. A. Tereshchenko, Izmerit. Tekhn., 4, 57-60 (2001).

    Google Scholar 

  22. S. R. Gottesman and E. E. Fenimore, Appl. Optics, 28, 4344-435 (1989).

    Article  Google Scholar 

  23. G. A. Fedorov and S. A. Tereshchenko, Izmerit. Tekhn., 6, 66-71 (2007).

    Google Scholar 

  24. K. Byard, Appl. Optics, 51, 3453-3460 (2012).

    Article  Google Scholar 

  25. R. Spann, IEEE Proc., 53, 2363-2364 (1965).

    Article  Google Scholar 

  26. F. J. McWilliams and N. J. A. Sloane, IEEE Proc., 64, 80-95 (1976).

    Google Scholar 

  27. G. J. Reiser, Combinatorial Mathematics [Russian translation], Mir, Moscow (1966).

    Google Scholar 

  28. M. Marcus and H. Mink, Matrix Theory and Matrix Inequalities [Russian translation], Nauka, Moscow (1972).

    Google Scholar 

  29. M. Hall, Combinatorics [Russian translation], Mir, Moscow (1970).

    Google Scholar 

  30. F. Hossfeld and R. Amadori, Berichte der Kernforschunsanlage, Jul-684-FF (KFA, Julich) (1970).

  31. W. R. Cook, M. Finger, T. A. Prince, and E. C. Stone, IEEE Tr. Nucl. Sci., NS-31, 771-775 (1984).

    Article  Google Scholar 

  32. G. A. Fedorov, S. A. Tereshchenko, M. A. Antakov, and I. S. Burnaevskii, Izmerit. Tekhn., 5, 59-63 (2012).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. A. Tereshchenko.

Additional information

Translated from Meditsinskaya Tekhnika, Vol. 48, No. 6, Nov.-Dec., 2014, pp. 12-15.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Antakov, M.A., Tereshchenko, S.A. & Fedorov, G.A. New Class of Pseudo-Random Hexagonal Configurations for Coding Collimators of Ionizing Radiation. Biomed Eng 48, 297–300 (2015). https://doi.org/10.1007/s10527-015-9473-2

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10527-015-9473-2

Keywords

Navigation