Pyramid Algorithms

Table of Contents

Cover image

Title page

The Morgan Kaufmann Series in Computer Graphics and Geometric Modeling

Copyright

Dedication

Foreword

Preface

Chapter 1: Introduction: Foundations

1.1 Ambient Spaces

1.2 Coordinates

1.3 Curve and Surface Representations

1.4 Summary

Part I: Interpolation

Chapter 2: Lagrange Interpolation and Neville’s Algorithm

2.1 Linear Interpolation

2.2 Neville’s Algorithm

2.3 The Structure of Neville’s Algorithm

2.4 Uniqueness of Polynomial Interpolants and Taylor’s Theorem

2.5 Lagrange Basis Functions

2.6 Computational Techniques for Lagrange Interpolation

2.7 Rational Lagrange Curves

2.8 Fast Fourier Transform

2.9 Recapitulation

2.10 Surface Interpolation

2.11 Rectangular Tensor Product Lagrange Surfaces

2.12 Triangular ...