Curve and Surface Fitting with Splines

by Paul Dierckx

Overview

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.

Product Details

ISBN-13:	9780198534402
Publisher:	Oxford University Press
Publication date:	06/15/1995
Series:	Numerical Mathematics and Scientific Computation
Edition description:	New Edition
Pages:	304
Product dimensions:	9.21(w) x 6.14(h) x 0.64(d)

About the Author

Katholieke Universiteit Leuven

Table of Contents

PART 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: FITBACK13. Available Software

Editorial Reviews

"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

From the Publisher