Curve and Surface Fitting with Splines

Paperback | April 1, 1995

byPaul Dierckx

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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 softwarepackage 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 fullyexploited 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 smoothingsoftware is illustrated with many examples, academic as well as taken from real life.

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From the Publisher

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 softwarepackage for data fitting with (tensor product) ...

Paul Dierckx is at Katholieke Universiteit Leuven.

other books by Paul Dierckx

Format:PaperbackDimensions:304 pages, 9.21 × 6.14 × 0.67 inPublished:April 1, 1995Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:019853440X

ISBN - 13:9780198534402

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Table of Contents

PrefaceList of figuresList of tablesPart I: Spline Functions1. Univariate Splines2. Bivariate SplinesPart II: Curve Fitting3. Curve Fitting: An Introduction4. Least-Squares Spline Curve Fitting5. Smoothing Spline Curve Fitting6. More Smoothing Spline Curves7. Fitting with Convexity ConstraintsPart III: Surface Fitting8. Surface Fitting: An Introduction9. Scattered Data Surface Fitting10. Mesh Data Surface Fitting11. More Scattered Data Smoothing12. More Mesh Data SmoothingPart IV: FITPACK13. Available SoftwareReferencesIndex

Editorial Reviews

`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