Curve and Surface Fitting with Splines (Monographs on Numerical Analysis)

Dierckx, Paul

ISBN 10: 0198534418 / ISBN 13: 9780198534419

Verlag: Oxford University Press, 1993

Bestandsnummer des Verkäufers 57Q40_70_0198534418

Inhaltsangabe:

The fitting of a curve or surface through a set of observational data is a very frequent problem in different disciplines (mathematics, engineering and medicine) with many interesting applications. This book describes the algorithms and mathematical fundamentals of a widely used software package for data fitting with (tensor product) splines. As such, it gives a survey of the possibilities and benefits but also of the problems to cope with when approximating with this popular type of function. In particular, it demonstrates in detail how the properties of "B-splines" can be fully exploited for improving the computational efficiency and for incorporating different boundary or shape-preserving constraints. Special attention is also paid to strategies for an automatic and adaptive knot selection with intent to obtain serious data reductions. The practical use of the smoothing software is illustrated with many examples.

Reseña del editor: The fitting of a curve or surface through a set of observational data is a very frequent problem in different disciplines (mathematics, engineering and medicine) with many interesting applications. This book describes the algorithms and mathematical fundamentals of a widely used software package for data fitting with (tensor product) splines. As such, it gives a survey of the possibilities and benefits but also of the problems to cope with when approximating with this popular type of function. In particular, it demonstrates in detail how the properties of "B-splines" can be fully exploited for improving the computational efficiency and for incorporating different boundary or shape-preserving constraints. Special attention is also paid to strategies for an automatic and adaptive knot selection with intent to obtain serious data reductions. The practical use of the smoothing software is illustrated with many examples.

Bibliografische Details

Titel: Curve and Surface Fitting with Splines (...
Verlag: Oxford University Press
Erscheinungsdatum: 1993
Einband: Hardcover
Zustand: new