1st Edition

Handbook on Splines for the User



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ISBN 9780849394041
Published July 14, 1995 by CRC Press
240 Pages

USD $180.00

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Book Description

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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Author(s)

Biography

Shikin\, Eugene V.; Plis\, Alexander I.