Mathematics for Computer Graphics

S. G. Hoggar (Autor)

Buch | Hardcover

490 Seiten

1993
Cambridge University Press (Verlag)
978-0-521-37574-0 (ISBN)

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This textbook , based on courses taught by the author to students in the USA and Europe, introduces the geometry, analysis and topology necessary to understand the mathematical framework for computer graphics. Topics range from symmetry and tiling to chaos and fractals. Applications include computational geometry, numerical analysis and geometrical modelling.

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.

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.

Erscheint lt. Verlag	26.2.1993
Reihe/Serie	Cambridge Tracts in Theoretical Computer Science
Zusatzinfo	23 Plates, color
Verlagsort	Cambridge
Sprache	englisch
Maße	185 x 255 mm
Gewicht	1105 g
Themenwelt	Mathematik / Informatik ► Informatik ► Grafik / Design
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-521-37574-6 / 0521375746
ISBN-13	978-0-521-37574-0 / 9780521375740
Zustand	Neuware