Curves and Surfaces for CAGD, 5th Edition

Table of Contents

Cover image

Title page

The Morgan Kaufmann Series in Computer Graphics and Geometric Modeling

Copyright

Dedication

Preface

Chapter 1: P. Bézier: How a Simple System Was Born

Chapter 2: Introductory Material

2.1 Points and Vectors

2.2 Affine Maps

2.3 Constructing Affine Maps

2.4 Function Spaces

2.5 Problems

Chapter 3: Linear Interpolation

3.1 Linear Interpolation

3.2 Piecewise Linear Interpolation

3.3 Menelaos’ Theorem

3.4 Blossoms

3.5 Barycentric Coordinates in the Plane

3.6 Tessellations

3.7 Triangulations

3.8 Problems

Chapter 4: The de Casteljau Algorithm

4.1 Parabolas

4.2 The de Casteljau Algorithm

4.3 Some Properties of Bézier Curves

4.4 The Blossom

4.5 Implementation

4.6 Problems

Chapter 5: The Bernstein Form of a Bézier ...