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Multidimensional B-spline forms and their Fourier transforms | IEEE Conference Publication | IEEE Xplore

Multidimensional B-spline forms and their Fourier transforms


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 ...Show More

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 which links a square-mean error caused by high frequency spline distortions and approximation intervals is determined and necessary theorem is proved. This method use a theory of entire multidimensional spectra and may be extended for the spaces of three, four and more variables.
Date of Conference: 14-17 September 2003
Date Added to IEEE Xplore: 24 November 2003
Print ISBN:0-7803-7750-8
Print ISSN: 1522-4880
Conference Location: Barcelona, Spain

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