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zlib/no-category/Paul Dierckx/Curve and Surface Fitting with Splines_25872607.pdf
Curve and Surface Fitting with Splines (Monographs on Numerical Analysis) 🔍
Paul Dierckx Oxford University Press, USA, Monographs on numerical analysis, Oxford, New York, England, 1993
英语 [en] · PDF · 3.6MB · 1993 · 📗 未知类型的图书 · 🚀/duxiu/zlib · Save
描述
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.
备选作者
Dierckx, Paul
备用出版商
IRL Press at Oxford University Press
备用出版商
Oxford Institute for Energy Studies
备用出版商
German Historical Institute London
备用出版商
CLARENDON PRESS
备用版本
Monographs on numerical analysis, Oxford, 1995, ©1993
备用版本
United Kingdom and Ireland, United Kingdom
元数据中的注释
Includes bibliographical references (p. 271-280) and index.
备用描述
Pt. I. Spline Functions -- 1. Univariate Splines -- 2. Bivariate Splines -- Pt. 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 -- Pt. 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 -- Pt. Iv. Fitpack -- 13. Available Software. Paul Dierckx. Includes Bibliographical References And Index.
备用描述
This book describes algorithms and mathematical fundamentals of the widely used FITBACK package for curve and surface fitting with splines. Features included are automatic knot selection, error smoothing and data reduction. The practical side of this software is illustrated with many examples taken from different disciplines in engineeering and medicine.
备用描述
This monograph describes the algorithms and mathematical fundamentals of a software package for data fitting with tensor product splines. It provides a survey of the possibilities and benefits of the package, and explains how to cope with problems when approximating this type of function.
开源日期
2023-08-28
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