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Synopsis
The study of spline functions is an outgrowth of basic mathematical concepts arising from calculus, analysis and numerical analysis. Spline modelling affects a number of fields: statistics; computer graphics; CAD programming, and other areas of applied mathematics.
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Review
"Spline functions arise in a number of fields: statistics, computer graphics, programming, computer-aided design technology, numerical analysis, and other areas of applied mathematics. Much work has focused on approximating splines such as B-splines and Bezier splines. In contrast, this book emphasizes interpolating splines. Almost always, the cubic polynomial form is treated in depth. Interpolating Cubic Splines covers a wide variety of explicit approaches to designing splines for the interpolation of points in the plane by curves, and the interpolation of points in 3-space by surfaces. These splines include various estimated-tangent Hermite splines and double-tangent splines, as well as classical natural splines and geometrically-continuous splines such as beta-splines and n-splines. A variety of special topics are covered, including monotonic splines, optimal smoothing splines, basis representations, and exact energy-minimizing physical splines. An in-depth review of the differential geometry of curves and a broad range of exercises, with selected solutions, and complete computer programs for several forms of splines and smoothing splines, make this book useful for a broad audience: students, applied mathematicians, statisticians, engineers, and practicing programmers involved in software development in computer graphics, CAD, and various engineering applications."
--Zentralblatt Math
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- PublisherBirkhauser Boston Inc
- Publication date1999
- ISBN 10 0817641009
- ISBN 13 9780817641009
- BindingHardcover
- LanguageEnglish
- Number of pages240
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Interpolating Cubic Splines
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SPRINGER NATURE Dez 1999, 1999
ISBN 10: 0817641009
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Spline modeling affects a number of fields, including statistics, computer graphics, CAD programming and other areas of applied mathematics. This book presents a detailed examination of cubic splines which includes a significant amount of original material not found elsewhere in the literature. Several C programs with interesting computational approaches supply the reader with a number of useful tools. The clear and concise presentation includes many interesting exercises. 260 pp. Englisch. Seller Inventory # 9780817641009
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