Mathematics for computer graphics
著者
書誌事項
Mathematics for computer graphics
（Cambridge tracts in theoretical computer science, 14）
Cambridge University Press, 1992
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注記
Bibliography: p. [445]-450
Includes index
内容説明・目次
内容説明
This unique textbook, which is based on courses taught by the author to students in the US, UK and Europe, introduces the geometry, analysis and topology necessary to understand the mathematical framework for computer graphics. The topics covered range from symmetry and tilings to chaos and fractals, and the applications from computational geometry through numerical analysis to geometric modelling. Consequently it will be welcomed by mathematicians, computer scientists and engineers, whether students or professionals.
目次
- 1. Isometries
- 2. How isometries combine
- 3. The braid patterns
- 4. Plane patterns and their symmetries
- 5. The 17 plane patterns
- 6. More plane truth
- 7. Matrix and vector algebra
- 8. Isometrics in 3-space
- 9. Quaternions and rotations
- 10. Fractals and nature
- 11. Basic topology
- 12. Compact sets, connected sets, holes and homeomorphisms
- 13. The existence and uniqueness of fractals
- 14. Iterated function systems
- 15. Addresses, measures, and the Random Iteration Algorithm
- 16. Julia and Mandelbrot and beyond.
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