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Bicubic Splines in Problems of Modeling of Multidimensional Signals

  • Bahramov, Sayfiddin (Department of Computer Science and Mathematical Modeling, Uzbek National University) ;
  • Jovliev, Sanjar (Tashkent University of Information Technologies)
  • Received : 2011.07.21
  • Accepted : 2011.08.10
  • Published : 2011.08.31

Abstract

The paper is devoted to problem of spline modeling of multidimensional signals. A new method of nodes location for curves and surfaces computer construction in multidimensional spaces by means of B-splines is presented. The criteria are which links a square-mean error caused by high frequency spline distortions and approximation intervals is determined and necessary theorem is proved. In this method use a theory of entire multidimensional spectra and may be extended for the spaces of three, four and more variables.

Keywords

References

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