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Splines find ever increasing application in the numerical methods, computer-aided design, and computer graphics areas. The Handbook on Splines for the User not only provides an excellent introduction to basic concepts and methods but also includes the SplineGuide-a computer diskette that allows the reader to practice using important programs.These programs help the user to build interpolating and smoothing cubic and bicubic splines of all classes. Programs are described in Fortran for spline functions and C for geometric splines. The Handbook describes spline functions and geometric splines and provides simple, but effective algorithms. It covers virtually all of the important types of cubic and bicubic splines, functions, variables, curves, and surfaces. The book is written in a straightforward manner and requires little mathematical background. When necessary, the authors give theoretical treatments in an easy-to-use form. Through the Handbook on Splines for the User, introduce yourself to the exciting world of splines and learn to use them in practical applications and computer graphics.
Table of Contents
Preface Why Splines? On the Structure of the Handbook Spline Functions Spline Functions of One Variable Interpolating Cubic Splines Smoothing Cubic Splines Other Types of Splines Spline Functions of Two Variables Interpolating Bicubic Splines Smoothing Bicubic Splines Geometric Splines Spline Curves Main Facts of the Curve Theory Bézier Curves B-Spline Curves Beta-Spline Curves Other Spline Curves Spline Surfaces Main Facts of the Surface Theory Bézier Surfaces B-Spline Surfaces Beta-Spline Surfaces Other Spline Surfaces Appendices Programs of Sweep Method for Tridiagonal and Pentadiagonal Matrices Description of Diskette Bibliography Index
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CHOICE – Outstanding Academic Title – Award Winner
CHOICE – 2018 Outstanding Academic Title – Award Winner
Shingo Research and Professional Publication Award Winner
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