Research of the efficiency of one-dimensional discrete cosine transforms based on two- dimensional signal scannings generated by canonical number systems

A.M. Belov

Full text of article: Russian language.

Abstract:
The paper presents experimental research of the effectiveness of one-dimensional discrete cosine transforms based on two-dimensional signal scannings generated by the binary and quaternary canonical number systems for image compression problem

Key words:
image compression, discrete cosine transform, canonical number systems, two-dimensional signal scanning.

References:

  1. Methods of Computer Optics (Secondary Edition) / edited by V.A. Soifer – Moscow: “Fizmatlit” Publisher, 2003. – 688 p. – (In Russian).
  2. Fedoseev, V.A. Image compression using the discrete orthogonal transforms defined on scans of two-dimensional areas / V.A. Fedoseev // Computer Optics. – 2005. – N 28. – P. 132-135. – ISSN 0134-2452. – (In Russian).
  3. Katai, I. Canonical number systems in imaginary quadratic fields / I. Katai, A. Kovacs // Acta Mathematica Hungarica. – 1981. – Vol. 37. – P. 159-164.
  4. Katai, I. Canonical number systems for complex integers / I. Katai, J. Szabo // Acta Sci. Math.(Szeged). – 1975. – Vol. 37. – P. 255-260.
  5. Wallace, G. The JPEG Still Picture Compression Standard / G. Wallace // Communication of the ACM. – 1991. – Vol. 34(4). – P. 30-44.

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