Curve and Surface Fitting with Splines

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Sprache: Englisch

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Beschreibung

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.

Inhaltsverzeichnis

Preface

List of figures

List of tables

Part I: Spline Functions

1: Univariate Splines

2: Bivariate Splines

Part II: Curve Fitting

3: Curve Fitting: An Introduction

4: Least-Squares Spline Curve Fitting

5: Smoothing Spline Curve Fitting

6: More Smoothing Spline Curves

7: Fitting with Convexity Constraints

Part III: Surface Fitting

8: Surface Fitting: An Introduction

9: Scattered Data Surface Fitting

10: Mesh Data Surface Fitting

11: More Scattered Data Smoothing

12: More Mesh Data Smoothing

Part IV: FITPACK

13: Available Software

References

Index

Details

Erscheinungsjahr:	1995
Fachbereich:	Grundlagen
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	Kartoniert / Broschiert
ISBN-13:	9780198534402
ISBN-10:	019853440X
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Dierckx, Paul
Hersteller:	OUP Oxford
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	234 x 156 x 16 mm
Von/Mit:	Paul Dierckx
Erscheinungsdatum:	27.04.1995
Gewicht:	0,465 kg