DocumentCode
2875391
Title
Data fitting by spline functions using the biorthonormal basis of the B-spline basis
Author
Haruki, Ryoji ; Horiuchi, Takahiko
Author_Institution
Tsukuba Software Lab. Co. Ltd, Japan
Volume
3
fYear
2000
fDate
2000
Firstpage
270
Abstract
The basis for the spline function space which is orthogonal to the B-spline basis is derived, i.e. the biorthonormal basis of the B-spline basis. The derived basis makes it easy to obtain B-spline coefficients from a given function in a straightforward way. This is applied to data fitting by spline functions, which uses the least square approximation. Then computing quantities and errors are examined, and the effectiveness and potential of this approach is described
Keywords
Hilbert spaces; least squares approximations; splines (mathematics); B-spline basis; biorthonormal basis; data fitting; Aerospace industry; Computer industry; Curve fitting; Data mining; Equations; Laboratories; Least squares approximation; Least squares methods; Polynomials; Spline;
fLanguage
English
Publisher
ieee
Conference_Titel
Pattern Recognition, 2000. Proceedings. 15th International Conference on
Conference_Location
Barcelona
ISSN
1051-4651
Print_ISBN
0-7695-0750-6
Type
conf
DOI
10.1109/ICPR.2000.903537
Filename
903537
Link To Document