ABSTRACT

The Geometry Toolbox takes a novel and particularly visual approach to teaching the basic concepts of two- and three-dimensional geometry. It explains the geometry essential for today's computer modeling, computer graphics, and animation systems. While the basic theory is completely covered, the emphasis of the book is not on abstract proofs but rather on examples and algorithms. The Geometry Toolbox is the ideal text for professionals who want to get acquainted with the latest geometric tools. The chapters on basic curves and surfaces form an ideal stepping stone into the world of graphics and modeling. It is also a unique textbook for a modern introduction to linear algebra and matrix theory.

chapter 1|11 pages

Descartes’ Discovery

chapter 2|17 pages

Here and There: Points and Vectors in 2D

chapter 3|21 pages

Lining Up — 2D Lines

chapter 4|25 pages

Linear Maps in 2D

chapter 5|17 pages

2 × 2 Linear Systems

chapter 6|12 pages

Moving Things Around: Affine Maps

chapter 7|15 pages

Eigen Things

chapter 8|11 pages

Breaking It Up: Triangles

chapter 9|9 pages

Conics

chapter 10|14 pages

3D Geometry

chapter 11|10 pages

Interactions in 3D

chapter 12|20 pages

Linear Maps in 3D

chapter 13|17 pages

Affine Maps in 3D

chapter 14|20 pages

General Linear Systems

chapter 16|14 pages

Curves