## Table of contents for Curves and surfaces in geometric modeling : theory and algorithms / Jean Gallier.

Bibliographic record and links to related information available from the Library of Congress catalog

Information from electronic data provided by the publisher. May be incomplete or contain other coding.

1 Introduction

2 Basics of Affine Geometry

3 Introduction to the Algorithmic Geometry of Polynomial Curves

4 Multiaffine Maps and Polar Forms

5 Polynomial Curves as Be'zier Curves

6 B-Spline Curves

7 Polynomial Surfaces

8 Subdivision Algorithms for Polynomial Surfaces

9. Polynomial Spline Surfaces and Subdivision Surfaces

10 Embedding an Affine Space in a Vector Space

11 Tensor Products and Symmetric Tensor Products

12 Appendix 1: Linear Algebra

13 Appendix 2: Complements of Affine Geometry

14 Appendix 3: Topology

15 Appendix 4: Differential Calculus

Library of Congress subject headings for this publication: Curves, Algebraic Data processing, Surfaces Data processing, Computer-aided design