Curve and surface fitting with splines
著者
書誌事項
Curve and surface fitting with splines
（Monographs on numerical analysis）
Clarendon, 1995, c1993
- :pbk
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- PART I: SPLINE FUNCTIONS
- PART II: CURVE FITTING
- PART III: SURFACE FITTING
- PART IV: FITPACK
「Nielsen BookData」 より
