Title :
Existence of the normalized B-basis and a practical construction method of the B-algorithm
Author :
Fan, Zhang ; Baosheng, Kang ; Shaofeng, Ru ; Mingquan, Zhou
Author_Institution :
Northwest Univ., Xi´´an, China
Abstract :
Necessary and sufficient conditions for the existence of a normalized B-basis on an extended Chebyshev space are presented. A method for constructing a normalized B-basis is given and the symmetry of the normalized B-basis is proved. Furthermore, a practical construction method for the B-algorithm on an extended Chebyshev space is discussed. Normalized B-bases and B-algorithms on some function spaces are also given.
Keywords :
Chebyshev approximation; computational geometry; curve fitting; splines (mathematics); surface fitting; B-algorithm; extended Chebyshev space; function spaces; normalized B-basis; CADCAM; Chebyshev approximation; Computer aided manufacturing; Design automation; Shape; Spline; Stochastic processes; Sufficient conditions; Surface reconstruction; Surface topography;
Conference_Titel :
Geometric Modeling and Processing, 2004. Proceedings
Print_ISBN :
0-7695-2078-2
DOI :
10.1109/GMAP.2004.1290028
