Curve and Surface Fitting with Splines (Numerical Mathematics and Scientific Computation)

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9780198534402: Curve and Surface Fitting with Splines (Numerical Mathematics and Scientific Computation)

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.

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About the Author:

Paul Dierckx is at Katholieke Universiteit Leuven.

Review:


"The writing is clear and straightforward. Excellent biography. Recommended." --Choice


"Invaluable....The book is clearly laid out. It takes the reader from a discussion of the mathematics...to examples using data sets that have been widely used by other workers in the field, which makes comparisons of the results easy....Contains a comprehensive set of references...." --Computing Reviews


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Book Description Oxford University Press, United Kingdom, 1995. Paperback. Book Condition: New. Revised ed.. Language: English . Brand New Book ***** Print on Demand *****. 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. Bookseller Inventory # AAV9780198534402

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Book Description Oxford University Press, United Kingdom, 1995. Paperback. Book Condition: New. Revised ed.. Language: English . Brand New Book ***** Print on Demand *****.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. Bookseller Inventory # AAV9780198534402

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