The Geometry Toolbox for Graphics and Modeling

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.

1. Descartes' Discovery 2. Here and There: Points and Vectors in 2D 3. Lining Up — 2D Lines 4. Linear Maps in 2D 5. 2 x 2 Linear Systems 6. Moving Things Around: Affine Maps 7. Eigen Things 8. Breaking It Up: Triangles 9. Conics 10. 3D Geometry 11. Interactions in 3D 12. Linear Maps in 3D 13. Affine Maps in 3D 14. General Linear Systems 15. Putting Lines Together: Polylines and Polygons 16. Curves

Professional Practice & Development

Farin, Gerald; Hansford, Dianne

This book takes a novel and particularly visual approach to teaching the basic concepts of two- and three-dimensional geometry. Explaining the geometry essential in today's computer-modelling and computer-graphics systems, it includes more than 200 hand-drawn sketches and computer images. Each chapter has a copious set of exercises, many with solutions at the end of the book. Progressing judiciously from two dimensions to three, this innovative text covers all major geometric concepts : points and vectors, lines and planes, maps and matrices, conics and curves. While the basic theory is completely covered, the emphasis of the book is not on abstract proofs but rather on examples and algorithms.