DocumentCode
3166538
Title
Extrema Detection of Bivariate Spline Functions
Author
Kano, Hiroyuki ; Fujioka, Hiroyuki ; Martin, Clyde F.
Author_Institution
Tokyo Denki Univ., Saitama
fYear
2007
fDate
9-13 July 2007
Firstpage
4351
Lastpage
4356
Abstract
In this paper, we develop a systematic method for detecting the extrema of bivariate spline functions and of their derivatives. It is assumed that the splines are constituted by employing normalized, uniform B-splines as the basis functions, and the detection procedure fully utilizes the spline properties. All the extrema can be found except those with singular Hessian matrix. By numerical examples, we demonstrate the effectiveness of the method.
Keywords
Hessian matrices; splines (mathematics); bivariate spline functions; extrema detection; singular Hessian matrix; uniform B-splines; Cities and towns; Computational efficiency; Control systems; Convergence; Digital images; Image edge detection; Probability distribution; Smoothing methods; Spline; Symmetric matrices;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2007. ACC '07
Conference_Location
New York, NY
ISSN
0743-1619
Print_ISBN
1-4244-0988-8
Electronic_ISBN
0743-1619
Type
conf
DOI
10.1109/ACC.2007.4282607
Filename
4282607
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