Discrete orthogonal transforms on fundamental domains of canonical number systems
V.M. Chernov, M.S. Kasparyan

PDF, 663 kB

Full text of article: Russian language.

DOI: 10.18287/0134-2452-2013-37-4-484-488

Pages: 484-488.

Abstract:
Advertised methods for the synthesis of discrete orthogonal transformations on two-dimensional fields associated with the fundamental domains of number systems in quadratic rings.

Key words:
orthogonal transforms, fractal, canonical number system.

References:

  1. Katai, I. Kanonische Zahlensysteme in der Theorie der quadratischen algebraischen Zahlen / I. Katai, B. Kovacs // Acta Sci. Math. (Szeged). – 1980. – B. 42. – P. 99-107.
  2. Katai, I Canonical Number Systems in Imaginary Quadratic Fields / I. Katai, J. Szabo // Acta Sci. Math. (Szeged). – 1975. – V. 37. – P. 255-260.
  3. Knuth, D. E. The Art of Computer Programming. Vol. 2 Semi-numerical Algorithms / D. E. Knuth – 3rd edition – London: Addison Wesley, 1998.
  4. Chernov, V. M. Arithmetical methods of synthesis  of fast algorithms of Discrete orthogonal Transforms / V.M. Chernov. – Moscow: “Fizmatlit” Publisher, 2007. – 264 p. – (in Russian).
© 2009, IPSI RAS
Institution of Russian Academy of Sciences, Image Processing Systems Institute of RAS, Russia, 443001, Samara, Molodogvardeyskaya Street 151; e-mail: ko@smr.ru; Phones: +7 (846 2) 332-56-22, Fax: +7 (846 2) 332-56-20