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FAST UNIFORM DISTRIBUTION OF SEQUENCES FOR FRACTAL SETS

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Book cover Computer Vision and Graphics

Part of the book series: Computational Imaging and Vision ((CIVI,volume 32))

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Abstract

The problems of constructing the points sequences with fast uniform distribution in the fractal domains associated with canonical number systems in quadratic fields are considered.

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REFERENCES

  1. L.Kuipers, and H. Niderreiter, Uniform Distribution of Sequences (Interscience Tracts, John Wiley and Sons, NY, 1974)

    Google Scholar 

  2. D.G. Champernowne, The construction of the decimals normal in the scale often, J. Lond. Math. Soc. 8, 264–260 (1933).

    Google Scholar 

  3. N.M. Korobov, O raspredelenii drobnyh doley pokazatel’noj funkcii, Vestnik MGU, serija Matematika I mehanika, 4,42–46 (1966). (in Russian)

    MATH  MathSciNet  Google Scholar 

  4. N.M. Korobov, Raspredelenie nevychetov I pervoobraznyh kornej v rekurrentnyh rjadah, DAN SSSR, 88, 603–608 (1953). (in Russian)

    MATH  MathSciNet  Google Scholar 

  5. R. Lidl, and H. Niderreiter, Finite Fields (Addison-Wesly, Reading, Mass., 1983).

    Google Scholar 

  6. I.Kátai, and J. Szabó, Canonical number systems for complex integers, Acta Sci. Math. (Szeged), 37, 255–260 (1975).

    MathSciNet  Google Scholar 

  7. I.Kátai, and B. Kovács, Kanonische Zahlensysteme in der Theorie der quadratischen algebraischenZahlen, Acta Sci. Math. (Szeged), 42, 99–107 (1980).

    MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Image Processing Systems Institute of RAS, Samara, Russia

    VLADIMIR M. CHERNOV

Authors
  1. VLADIMIR M. CHERNOV
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Editor information

Editors and Affiliations

  1. Silesian University of Technology, Gliwice, Poland

    K. Wojciechowski

  2. Silesian University of Technology, Gliwice, Poland

    B. Smolka

  3. Silesian University of Technology, Gliwice, Poland

    H. Palus

  4. The University of Western Australia, Crawley, Australia

    R.S. Kozera

  5. Warsaw University of Technology, Warsaw, Poland

    W. Skarbek

  6. The University of Western Australia, Crawley, Australia

    L. Noakes

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© 2006 Springer

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M. CHERNOV, V. (2006). FAST UNIFORM DISTRIBUTION OF SEQUENCES FOR FRACTAL SETS. In: Wojciechowski, K., Smolka, B., Palus, H., Kozera, R., Skarbek, W., Noakes, L. (eds) Computer Vision and Graphics. Computational Imaging and Vision, vol 32. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4179-9_102

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  • DOI: https://doi.org/10.1007/1-4020-4179-9_102

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-4178-5

  • Online ISBN: 978-1-4020-4179-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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