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Application of Spectral Properties of Basic Splines in Problems of Processing of Multivariate Signals

INTERNATIONAL JOURNAL OF CONTENTS / INTERNATIONAL JOURNAL OF CONTENTS, (P)1738-6764; (E)2093-7504
2007, v.3 no.4, pp.26-29
https://doi.org/10.5392/ijoc.2007.3.4.026
Zaynidinov, H.N. (Division of Digital Contents Dongseo University)
Yun, Tae-Soo (Division of Digital Contents Dongseo University)
Chae, Eel-Jin (Division of Digital Contents Dongseo University)

Abstract

The paper is devoted to problem of spline approximation. 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. Future work: application area such as digital contents like animation, game graphic.

keywords
B-spline, Multidimensional, Curve, Functions, Variables

INTERNATIONAL JOURNAL OF CONTENTS