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)
Zaynidinov, H.N.,
Yun, Tae-Soo,
&
Chae, Eel-Jin.
(2007). Application of Spectral Properties of Basic Splines in Problems of Processing of Multivariate Signals. INTERNATIONAL JOURNAL OF CONTENTS, 3(4), 26-29, https://doi.org/10.5392/ijoc.2007.3.4.026
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