Title :
Multidimensional B-spline forms and their Fourier transforms
Author :
Bondarenko, A.V.
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.
Keywords :
Fourier transforms; computer graphics; distortion; mean square error methods; polynomial approximation; splines (mathematics); Fourier transform; approximation interval; computer construction surface; curve node location; frequency spline distortion; multidimensional B-spline form; multidimensional space; multidimensional spectra; spline approximation; square-mean error; Bonding; Computer errors; Computer graphics; Fourier transforms; Frequency; IEEE members; Multidimensional systems; Optical character recognition software; Optimization methods; Spline;
Conference_Titel :
Image Processing, 2003. ICIP 2003. Proceedings. 2003 International Conference on
Print_ISBN :
0-7803-7750-8
DOI :
10.1109/ICIP.2003.1246829
