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

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

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Article Contents

Vol.3 No.4

Abstract

INTERNATIONAL JOURNAL OF CONTENTS