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Synopsis
The fitting of a curve or surface through a set of observational data is a very frequent problem in different disciplines (mathematics, engineering, 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 possibilities and benefits but also of the problems to cope with when approximating with this popular type of function. In particular it is demonstrated 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, academic as well as taken from real life.
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Product Description
Curve and Surface Fitting with Splines This text describes the algorithms and mathematical fundamentals of a widely-used FORTRAN package for curve and surface fitting with splines. It discusses such features as automatic knot selection, error smoothing and data reduction.
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)
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- PublisherOxford University Press
- Publication date1994
- ISBN 10 019853440X
- ISBN 13 9780198534402
- BindingPaperback
- LanguageEnglish
- Number of pages304
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Curve and Surface Fitting with Splines (Numerical Mathematics and Scientific Computation)
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Clarendon Press, 1995
ISBN 10: 019853440X
ISBN 13: 9780198534402
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Curve and Surface Fitting with Splines (Numerical Mathematics and Scientific Computation)
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Clarendon Press (edition ), 1994
ISBN 10: 019853440X
ISBN 13: 9780198534402
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Curve and Surface Fitting with Splines
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Curve and Surface Fitting with Splines (Monographs on Numerical Analysis) (Numerical Mathematics and Scientific Computation)
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Curve and Surface Fitting with Splines (Monographs on Numerical Analysis) (Numerical Mathematics and Scientific Computation)
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Curve and Surface Fitting With Splines
Published by
Oxford University Press, 1994
ISBN 10: 019853440X
ISBN 13: 9780198534402
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Curve and Surface Fitting with Splines (Paperback)
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Oxford University Press, Oxford, 1995
ISBN 10: 019853440X
ISBN 13: 9780198534402
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Paperback. Condition: new. Paperback. The fitting of a curve or surface through a set of observational data is a very frequent problem in different disciplines (mathematics, engineering, 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 possibilities and benefits but also of the problems to cope with when approximating with thispopular type of function. In particular it is demonstrated in detail how the properties of B-splines can be fully exploited for improving the computational efficiency and for incorporating differentboundary 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, academic as well as taken from real life. This book describes algorithms and mathematical fundamentals of the widely used FITBACK package for curve and surface fitting with splines. Features included are automatic knot selection, error smoothing and data reduction. The practical side of this software is illustrated with many examples taken from different disciplines in engineeering and medicine. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780198534402
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