A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing

About the Book vii

Book Contents

Chapter 1: Analytical Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . 1

Olga Sorkine-Hornung and Daniel Cohen-Or

In the first chapter, we will familiarize ourselves with some basic

geometric tools and see how we can put them to practical use to

solve several geometric problems. Instead of describing the tools

directly, we do it through an inter-

esting discussion of two possible ways

to approach the geometric problem at

hand: we can employ our geometric

intuition and use geometric reasoning,

or we can directly formalize everything

and employ our algebraic skills to write

down and solve some equations. The discussion ...