Title: Curve and Surface Fitting with Splines (Numerical Mathematics and Scientific Computation)
Publisher: Clarendon Press
Publication Date: 1995
Language: English
ISBN 10: 019853440X
ISBN 13: 9780198534402
Binding: Soft cover
Edition: 1st Edition
Condition: Fine

About this title

Synopsis

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.

Product Description

Curve and Surface Fitting with Splines This text describes the algorithms and mathematical fundamentals of a widely-used FORTRAN package for curve and surface fitting with splines. It discusses such features as automatic knot selection, error smoothing and data reduction.

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