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.
Similar content being viewed by others
References
J. Caroly, J. B. Stephen, G. Di Cocco, et al., Space Sci. Rev., 45, 349-403 (1987).
Jean in’t Zand, http://astrophysics.gsfc.nasa.gov/cai/coded_inss.html (2013).
A. I. Mogil’ner, O. A. Sal’nikov, and L. A. Timokhin, Pribory Tekhn. Eksp., No. 2, 22 (1966).
G. Wilhelm and F. Gompf, Nucl. Instr. Meth., 81, 36-44 (1970).
M. I. Novopoltsev and Yu. P. Pokotilovskii, Pribory Tekhn. Eksp., No. 5, 19-27 (2010).
R. Accorsia, F. Gasparinib, and R. C. Lanza, Nucl. Instr. Meth. Phys. Res. A, 474, 273-284 (2001).
V. M. Nemchinov, G. A. Fedorov, A. V. Samosadnyi, S. V. Markov, and D. S. Semenov, Sovrem. Naukoemk. Tekhnol., No. 5, 64-65 (2004).
V. M. Utkin, M. A. Kumakhov, N. N. Blinov, et al., Med. Fiz., No. 1, 42-53 (2007).
P. T. Durrant, M. Dallimore, I. D. Jupp, et al., Nucl. Instr. Meth. A, 422, 667-671 (1999).
M. Gmar, O. Gal, C. Le Goaller, et al., IEEE Trans. Nucl. Sci., 51, 1682-1687 (2004).
L. M. Soroko, Multiplex Measurement Systems in Physics [in Russian], Atomizdat, Moscow (1980).
A. S. Artemov, Fiz. Element. Chast. Atom. Yadra, 32, 189-211 (2001).
S. R. Gottesman, A. Isser, and G. W. Gigioli., Proc. Int. Soc. Optic. Eng., 8165, 1-9 (2011).
G. A. Fedorov, Radiation Introscopy. Information Coding and Experiment Optimization [in Russian], Energoatomizdat, Moscow (1982).
G. A. Fedorov and S. A. Tereshchenko, Izmerit. Tekhn., 11, 49-54 (1995).
S. A. Tereshchenko, Methods of Computational Tomography [in Russian], Fizmatlit, Moscow (2004).
G. A. Fedorov, Integrated-Code Systems for Measurement in Radiation Physics [in Russian], NRNU MEPhI, Moscow (2010).
H. H. Barrett, J. Nucl. Med., 13, 382-385 (1972).
G. A. Fedorov and S. A. Tereshchenko, Computing Emission Is on the Graph [in Russian], Energoatomizdat, Moscow (1990).
R. H. Dicke, Astrophys. J., 153, L101-L106 (1968).
G. A. Fedorov and S. A. Tereshchenko, Izmerit. Tekhn., 4, 57-60 (2001).
S. R. Gottesman and E. E. Fenimore, Appl. Optics, 28, 4344-435 (1989).
G. A. Fedorov and S. A. Tereshchenko, Izmerit. Tekhn., 6, 66-71 (2007).
K. Byard, Appl. Optics, 51, 3453-3460 (2012).
R. Spann, IEEE Proc., 53, 2363-2364 (1965).
F. J. McWilliams and N. J. A. Sloane, IEEE Proc., 64, 80-95 (1976).
G. J. Reiser, Combinatorial Mathematics [Russian translation], Mir, Moscow (1966).
M. Marcus and H. Mink, Matrix Theory and Matrix Inequalities [Russian translation], Nauka, Moscow (1972).
M. Hall, Combinatorics [Russian translation], Mir, Moscow (1970).
F. Hossfeld and R. Amadori, Berichte der Kernforschunsanlage, Jul-684-FF (KFA, Julich) (1970).
W. R. Cook, M. Finger, T. A. Prince, and E. C. Stone, IEEE Tr. Nucl. Sci., NS-31, 771-775 (1984).
G. A. Fedorov, S. A. Tereshchenko, M. A. Antakov, and I. S. Burnaevskii, Izmerit. Tekhn., 5, 59-63 (2012).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Meditsinskaya Tekhnika, Vol. 48, No. 6, Nov.-Dec., 2014, pp. 12-15.
Rights and permissions
About this article
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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10527-015-9473-2