Constrained Interpolation

The development of theory and algorithms relating to interpolation to data by functions which preserve the monotonicity and/or convexity of the data is presented. The functions used for interpolation are polynomials, piecewise polynomials, polynomial splines and exponential splines. The techniques e...

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Veröffentlicht in:	SIAM journal on scientific and statistical computing 1980-09, Vol.1 (3), p.333-344
1. Verfasser:	Roulier, John A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Datasets Polynomials
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	The development of theory and algorithms relating to interpolation to data by functions which preserve the monotonicity and/or convexity of the data is presented. The functions used for interpolation are polynomials, piecewise polynomials, polynomial splines and exponential splines. The techniques emphasized are the shape-preserving splines of the author, although some discussion of alternate techniques is given.
ISSN:	0196-5204 1064-8275 2168-3417 1095-7197
DOI:	10.1137/0901024