Title
Optimal smoothing and interpolating splines with constraints
Abstract
In this paper, we present a systematic method for designing optimal smoothing splines with equality and/or inequality constraints. The splines are constituted employing normalized uniform B-splines as the basis functions. It is shown that various types of constraints are formulated as linear function of the so-called control points, and the problems reduce to quadratic programming problems. We demonstrate the effectiveness and usefulness by numerical examples.
Year
DOI
Venue
2011
10.1109/CDC.2007.4434300
Applied Mathematics and Computation
Keywords
Field
DocType
interpolation,optimal control,quadratic programming,smoothing methods,splines (mathematics),b-splines,equality constraints,inequality constraints,interpolating splines,optimal smoothing,smoothing spline,probability density function,design optimization,quadratic program,b splines
Spline (mathematics),Mathematical optimization,Box spline,Mathematical analysis,Interpolation,Smoothing,Basis function,Quadratic programming,Linear function,Probability density function,Mathematics
Journal
Volume
Issue
ISSN
218
5
0191-2216 E-ISBN : 978-1-4244-1498-7
ISBN
Citations 
PageRank 
978-1-4244-1498-7
9
1.16
References 
Authors
4
3
Name
Order
Citations
PageRank
Hiroyuki Kano191.16
Hiroyuki Fujioka23713.37
Clyde F. Martin322939.70