Handbook on Splines for the User: 1st Edition (Hardback) book cover

Handbook on Splines for the User

1st Edition

By Eugene V. Shikin, Alexander I. Plis

CRC Press

240 pages

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Hardback: 9780849394041
pub: 1995-07-14
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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

Subject Categories

BISAC Subject Codes/Headings:
COM012000
COMPUTERS / Computer Graphics
MAT003000
MATHEMATICS / Applied
MAT021000
MATHEMATICS / Number Systems