Computer Graphics and Geometric Modeling

This is a book for those wishing to understand how today's computer graphics create such realistic objects and animations. It emphasizes the mathematics and geometry behind the programs. The book can be used as a text for a two semester course in computer graphics and also serves as a comprehensive reference to the professional in the field.

Inhalt

1. First Principles.- 2. Scan-Converting Methods.- 3. Transformations and Projections.- 4. Curves.- 5. Surfaces.- 6. Rendering.- 7. Color.- 8. Computer Animation.- 9. Image Compression.- 10. Short Topics.- A. Mathematical Topics.- 1 Fourier Transforms.- 2 Forward Differences.- 3 Coordinate Systems.- 4 Vector Algebra.- 5 Matrices.- 6 Trigonometric Identities.- 7 The Greek Alphabet.- 8 Complex Numbers.- 9 Quaternions.- 10 Groups.- 11 Fields.- References.- Answers to Exercises.- Indix.