Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Progress in Computer Science and Applied Logic (PCS, volume 18)
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Table of contents (18 chapters)
Keywords
About this book
Reviews
"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
Authors and Affiliations
Bibliographic Information
Book Title: Interpolating Cubic Splines
Authors: Gary D. Knott
Series Title: Progress in Computer Science and Applied Logic
DOI: https://doi.org/10.1007/978-1-4612-1320-8
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2000
Hardcover ISBN: 978-0-8176-4100-9Published: 28 December 1999
Softcover ISBN: 978-1-4612-7092-8Published: 15 October 2012
eBook ISBN: 978-1-4612-1320-8Published: 06 December 2012
Series ISSN: 2297-0576
Series E-ISSN: 2297-0584
Edition Number: 1
Number of Pages: XII, 244
Topics: Math Applications in Computer Science, Computational Mathematics and Numerical Analysis, Applications of Mathematics, Computer-Aided Engineering (CAD, CAE) and Design, Computer Applications