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

Dierckx, Paul

Hardcover

ISBN 10: 0198534418 ISBN 13: 9780198534419

Publisher: Clarendon Press, 1993

Synopsis

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.

About this title

Review

'Scientists and engineers with curve and surface fitting problems and practitioners of computer graphics and CAGD should all find the monograph useful. It is essentially self-contained, giving a brief introduction to the mathematics required as the need arises.'I. Gladwell

'A distinguished feature of this book is its lucid presentation. Dierckx's choice of examples is excellent. The discussion is clear and complete enough to serve as an introduction for those beginning a study of spline fitting algorithms. The work is self-contained.'E. Neuman, Zentralblatt für Mathematik, Band 782/94

From the cloth edition: the book is invaluable ... The book is clearly laid out ... contains a comprehensive set of references. (Tim Thornton, Computing Reviews, June 1994)

Edition details

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