Abstract | ||
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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 |
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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 Kano | 1 | 9 | 1.16 |
Hiroyuki Fujioka | 2 | 37 | 13.37 |
Clyde F. Martin | 3 | 229 | 39.70 |