Curve and surface fitting with splines
Author(s)
Bibliographic Information
Curve and surface fitting with splines
（Monographs on numerical analysis）
Clarendon , Oxford University Press, 1993
- : pbk
Available at / 37 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
:pbk519.4/d5652070329678
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Note
Includes bibliographical references and index
Description and Table of Contents
- Volume
-
: pbk ISBN 9780198534402
Description
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.
Table of Contents
- PART I: SPLINE FUNCTIONS
- PART II: CURVE FITTING
- PART III: SURFACE FITTING
- PART IV: FITPACK
- Volume
-
ISBN 9780198534419
Description
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.
Table of Contents
- Part 1 Spline functions: univariate splines
- bivariate splines. Part 2 Curve fitting: an introduction
- least-squares spline curve fitting
- smoothing spline curve fitting
- more smoothing spline curves
- fitting with convexity constraints. Part 3 Surface fitting: an introduction
- scattered data surface fitting
- mesh data surface fitting
- more scattered data smoothing
- more mesh data smoothing
- Part 4 Fitpack: available software.
by "Nielsen BookData"