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

Dierckx, Paul

Hardcover

ISBN 10: 0198534418 ISBN 13: 9780198534419

Publisher: Oxford University Press, 1993

Synopsis

The fitting of a curve or surface through a set of observational data is a recurring problem across numerous disciplines such as applications. This book describes the algorithms and mathematical fundamentals of a widely used software package for data fitting with tensor product splines. It gives a survey of possibilities, benefits, and problems commonly confronted when approximating with this popular type of function. Dierkx 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 theoretical and practical examples.

About this title

About the Author

Paul Dierckx is at Katholieke Universiteit Leuven.

Review

"The writing is clear and straightforward. Excellent biography. Recommended." --Choice

"Invaluable....The book is clearly laid out. It takes the reader from a discussion of the mathematics...to examples using data sets that have been widely used by other workers in the field, which makes comparisons of the results easy....Contains a comprehensive set of references...." --Computing Reviews

Edition details

• Publisher: Oxford University Press
• Publication date: 1993
• Language: English
• ISBN 10: 0198534418
• ISBN 13: 9780198534419
• Binding: Hardcover
• Number of pages: 302